Document Search Results

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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> 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<option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control 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value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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item">any:</span><span>  </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>  </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>  </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>  </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>  </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>  </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>  </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>  </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>  </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>  </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>  </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>  </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>  </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab   </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>  </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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Appl. Math. 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(2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65Nxx" title="Numerical methods for partial differential equations, boundary value problems">65Nxx</a> <a class="mono" href="/classification/?q=cc%3A60Hxx" title="Stochastic analysis">60Hxx</a> <a class="mono" href="/classification/?q=cc%3A65Fxx" title="Numerical linear algebra">65Fxx</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07878280" data-ciurl="/ci/07878280" data-biburl="/bibtex/07878280.bib" data-amsurl="/amsrefs/07878280.bib" data-xmlurl="/xml/07878280.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07878280.pdf" title="Zbl 07878280 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cam.2024.115925" aria-label="DOI for “Low-rank solutions to the stochastic Helmholtz equation”" title="10.1016/j.cam.2024.115925">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2302.08393"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7870735" value="7870735" aria-label="mark item Zbl 1542.65174"></div> <div class="author"><a href="/authors/zhu.bingxin" title="Author Profile">Zhu, Bingxin</a>; <a href="/authors/wu.haijun" title="Author Profile">Wu, Haijun</a></div> <h3 class="title"> <a href="/1542.65174"><strong>The $(p,p-1)$-HDG method for the Helmholtz equation with large wave number.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1542.65174">Zbl 1542.65174</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A512673" title="Articles in this Issue">62, No. 3, 1394-1419 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35J15" title="Second-order elliptic equations">35J15</a> <a class="mono" href="/classification/?q=cc%3A78A40" title="Waves and radiation in optics and electromagnetic theory">78A40</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.65174" data-ciurl="/ci/07870735" data-biburl="/bibtex/07870735.bib" data-amsurl="/amsrefs/07870735.bib" data-xmlurl="/xml/07870735.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07870735.pdf" title="Zbl 1542.65174 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M1562639" aria-label="DOI for “The $(p,p-1)$-HDG method for the Helmholtz equation with large wave number”" title="10.1137/23M1562639">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7839883" value="7839883" aria-label="mark item Zbl 07839883"></div> <div class="author"><a href="/authors/anderson.thomas-g" title="Author Profile">Anderson, Thomas G.</a>; <a href="/authors/bonnet.marc" title="Author Profile">Bonnet, Marc</a>; <a href="/authors/faria.luiz-m" title="Author Profile">Faria, Luiz M.</a>; <a href="/authors/perez-arancibia.carlos" title="Author Profile">Pérez-Arancibia, Carlos</a></div> <h3 class="title"> <a href="/7839883"><strong>Construction of polynomial particular solutions of linear constant-coefficient partial differential equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7839883">Zbl 07839883</a> </h3> <div class="source"> <a href="/serials/62" title="Journal Profile">Comput. Math. Appl.</a> <a href="/?q=in%3A511621" title="Articles in this Issue">162, 94-103 (2024)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35-XX" title="Partial differential equations">35-XX</a> <a class="mono" href="/classification/?q=cc%3A76-XX" title="Fluid mechanics">76-XX</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07839883" data-ciurl="/ci/07839883" data-biburl="/bibtex/07839883.bib" data-amsurl="/amsrefs/07839883.bib" data-xmlurl="/xml/07839883.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07839883.pdf" title="Zbl 07839883 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.camwa.2024.02.045" aria-label="DOI for “Construction of polynomial particular solutions of linear constant-coefficient partial differential equations”" title="10.1016/j.camwa.2024.02.045">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2306.13628"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7830399" value="7830399" aria-label="mark item Zbl 07830399"></div> <div class="author"><a href="/authors/pernet.sebastien" title="Author Profile">Pernet, Sebastien</a>; <a href="/authors/sirdey.margot" title="Author Profile">Sirdey, Margot</a>; <a href="/authors/tordeux.sebastien" title="Author Profile">Tordeux, Sebastien</a></div> <h3 class="title"> <a href="/7830399"><strong>Ultra-weak variational formulation for heterogeneous Maxwell problem in the context of high performance computing.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7830399">Zbl 07830399</a> </h3> <div class="source"> <a href="/serials/8625" title="Journal Profile">ESAIM, Proc. Surv.</a> <a href="/?q=in%3A510950" title="Articles in this Issue">75, 96-121 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A78-XX" title="Optics, electromagnetic theory">78-XX</a> <a class="mono" href="/classification/?q=cc%3A76-XX" title="Fluid mechanics">76-XX</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07830399" data-ciurl="/ci/07830399" data-biburl="/bibtex/07830399.bib" data-amsurl="/amsrefs/07830399.bib" data-xmlurl="/xml/07830399.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07830399.pdf" title="Zbl 07830399 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1051/proc/202375096" aria-label="DOI for “Ultra-weak variational formulation for heterogeneous Maxwell problem in the context of high performance computing”" title="10.1051/proc/202375096">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7793823" value="7793823" aria-label="mark item Zbl 1538.65213"></div> <div class="author"><a href="/authors/yang.andy-l" title="Author Profile">Yang, Andy L.</a></div> <h3 class="title"> <a href="/1538.65213"><strong>A novel deep neural network algorithm for the Helmholtz scattering problem in the unbounded domain.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1538.65213">Zbl 1538.65213</a> </h3> <div class="source"> <a href="/serials/3193" title="Journal Profile">Int. J. Numer. Anal. Model.</a> <a href="/?q=in%3A507381" title="Articles in this Issue">20, No. 5, 724-738 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65L15" title="Numerical solution of eigenvalue problems involving ordinary differential equations">65L15</a> <a class="mono" href="/classification/?q=cc%3A34L16" title="Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators">34L16</a> <a class="mono" href="/classification/?q=cc%3A68T07" title="Artificial neural networks and deep learning">68T07</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1538.65213" data-ciurl="/ci/07793823" data-biburl="/bibtex/07793823.bib" data-amsurl="/amsrefs/07793823.bib" data-xmlurl="/xml/07793823.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07793823.pdf" title="Zbl 1538.65213 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4208/ijnam2023-1032" aria-label="DOI for “A novel deep neural network algorithm for the Helmholtz scattering problem in the unbounded domain”" title="10.4208/ijnam2023-1032">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7792494" value="7792494" aria-label="mark item Zbl 1533.35074"></div> <div class="author"><a href="/authors/parolin.emile" title="Author Profile">Parolin, Emile</a>; <a href="/authors/huybrechs.daan" title="Author Profile">Huybrechs, Daan</a>; <a href="/authors/moiola.andrea" title="Author Profile">Moiola, Andrea</a></div> <h3 class="title"> <a href="/1533.35074"><strong>Stable approximation of Helmholtz solutions in the disk by evanescent plane waves.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1533.35074">Zbl 1533.35074</a> </h3> <div class="source"> <a href="/serials/3314" title="Journal Profile">ESAIM, Math. Model. Numer. Anal.</a> <a href="/?q=in%3A507246" title="Articles in this Issue">57, No. 6, 3499-3536 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A46E22" title="Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)">46E22</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1533.35074" data-ciurl="/ci/07792494" data-biburl="/bibtex/07792494.bib" data-amsurl="/amsrefs/07792494.bib" data-xmlurl="/xml/07792494.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07792494.pdf" title="Zbl 1533.35074 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1051/m2an/2023081" aria-label="DOI for “Stable approximation of Helmholtz solutions in the disk by evanescent plane waves”" title="10.1051/m2an/2023081">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2202.05658"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7787597" value="7787597" aria-label="mark item Zbl 1541.65153"></div> <div class="author"><a href="/authors/heimann.fabian" title="Author Profile">Heimann, Fabian</a>; <a href="/authors/lehrenfeld.christoph" title="Author Profile">Lehrenfeld, Christoph</a>; <a href="/authors/stocker.paul" title="Author Profile">Stocker, Paul</a>; <a href="/authors/von-wahl.henry" title="Author Profile">von Wahl, Henry</a></div> <h3 class="title"> <a href="/1541.65153"><strong>Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1541.65153">Zbl 1541.65153</a> </h3> <div class="source"> <a href="/serials/3314" title="Journal Profile">ESAIM, Math. Model. Numer. Anal.</a> <a href="/?q=in%3A506888" title="Articles in this Issue">57, No. 5, 2803-2833 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N85" title="Fictitious domain methods for boundary value problems involving PDEs">65N85</a> <a class="mono" href="/classification/?q=cc%3A41A30" title="Approximation by other special function classes">41A30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1541.65153" data-ciurl="/ci/07787597" data-biburl="/bibtex/07787597.bib" data-amsurl="/amsrefs/07787597.bib" data-xmlurl="/xml/07787597.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07787597.pdf" title="Zbl 1541.65153 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1051/m2an/2023064" aria-label="DOI for “Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems”" title="10.1051/m2an/2023064">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2212.12236"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7772283" value="7772283" aria-label="mark item Zbl 07772283"></div> <div class="author"><a href="/authors/lehrenfeld.christoph" title="Author Profile">Lehrenfeld, Christoph</a>; <a href="/authors/stocker.paul" title="Author Profile">Stocker, Paul</a></div> <h3 class="title"> <a href="/7772283"><strong>Embedded Trefftz discontinuous Galerkin methods.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7772283">Zbl 07772283</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A505485" title="Articles in this Issue">124, No. 17, 3637-3661 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65Nxx" title="Numerical methods for partial differential equations, boundary value problems">65Nxx</a> <a class="mono" href="/classification/?q=cc%3A35Jxx" title="Elliptic equations and elliptic systems">35Jxx</a> <a class="mono" href="/classification/?q=cc%3A65Mxx" title="Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems">65Mxx</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07772283" data-ciurl="/ci/07772283" data-biburl="/bibtex/07772283.bib" data-amsurl="/amsrefs/07772283.bib" data-xmlurl="/xml/07772283.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07772283.pdf" title="Zbl 07772283 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/nme.7258" aria-label="DOI for “Embedded Trefftz discontinuous Galerkin methods”" title="10.1002/nme.7258">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2201.07041"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7764514" value="7764514" aria-label="mark item Zbl 1541.65175"></div> <div class="author"><a href="/authors/claeys.xavier" title="Author Profile">Claeys, Xavier</a></div> <h3 class="title"> <a href="/1541.65175"><strong>Nonlocal optimized Schwarz method for the Helmholtz equation with physical boundaries.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1541.65175">Zbl 1541.65175</a> </h3> <div class="source"> <a href="/serials/1638" title="Journal Profile">SIAM J. Math. Anal.</a> <a href="/?q=in%3A504387" title="Articles in this Issue">55, No. 6, 7490-7512 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A31B10" title="Integral representations, integral operators, integral equations methods in higher dimensions">31B10</a> <a class="mono" href="/classification/?q=cc%3A35J10" title="Schrödinger operator, Schrödinger equation">35J10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1541.65175" data-ciurl="/ci/07764514" data-biburl="/bibtex/07764514.bib" data-amsurl="/amsrefs/07764514.bib" data-xmlurl="/xml/07764514.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07764514.pdf" title="Zbl 1541.65175 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M1545847" aria-label="DOI for “Nonlocal optimized Schwarz method for the Helmholtz equation with physical boundaries”" title="10.1137/23M1545847">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2301.02921"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7750294" value="7750294" aria-label="mark item Zbl 1538.65541"></div> <div class="author"><a href="/authors/monsuur.harald" title="Author Profile">Monsuur, Harald</a>; <a href="/authors/stevenson.rob-p" title="Author Profile">Stevenson, Rob</a></div> <h3 class="title"> <a href="/1538.65541"><strong>A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1538.65541">Zbl 1538.65541</a> </h3> <div class="source"> <a href="/serials/62" title="Journal Profile">Comput. Math. Appl.</a> <a href="/?q=in%3A503109" title="Articles in this Issue">148, 241-255 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65K10" title="Numerical optimization and variational techniques">65K10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1538.65541" data-ciurl="/ci/07750294" data-biburl="/bibtex/07750294.bib" data-amsurl="/amsrefs/07750294.bib" data-xmlurl="/xml/07750294.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07750294.pdf" title="Zbl 1538.65541 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.camwa.2023.08.013" aria-label="DOI for “A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation”" title="10.1016/j.camwa.2023.08.013">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2303.16508"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7748045" value="7748045" aria-label="mark item Zbl 07748045"></div> <div class="author"><a href="/authors/modave.axel" title="Author Profile">Modave, Axel</a>; <a href="/authors/chaumont-frelet.theophile" title="Author Profile">Chaumont-Frelet, Théophile</a></div> <h3 class="title"> <a href="/7748045"><strong>A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7748045">Zbl 07748045</a> </h3> <div class="source"> <a href="/serials/127" title="Journal Profile">J. Comput. Phys.</a> <a href="/?q=in%3A502742" title="Articles in this Issue">493, Article ID 112459, 21 p. (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65Nxx" title="Numerical methods for partial differential equations, boundary value problems">65Nxx</a> <a class="mono" href="/classification/?q=cc%3A35Jxx" title="Elliptic equations and elliptic systems">35Jxx</a> <a class="mono" href="/classification/?q=cc%3A65Fxx" title="Numerical linear algebra">65Fxx</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07748045" data-ciurl="/ci/07748045" data-biburl="/bibtex/07748045.bib" data-amsurl="/amsrefs/07748045.bib" data-xmlurl="/xml/07748045.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07748045.pdf" title="Zbl 07748045 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jcp.2023.112459" aria-label="DOI for “A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems”" title="10.1016/j.jcp.2023.112459">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2212.11529"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03909368" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7734295" value="7734295" aria-label="mark item Zbl 1518.65076"></div> <div class="author"><a href="/authors/baccouch.mahboub" title="Author Profile">Baccouch, Mahboub</a></div> <h3 class="title"> <a href="/1518.65076"><strong>A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1518.65076">Zbl 1518.65076</a> </h3> <div class="source"> <a href="/serials/2985" title="Journal Profile">J. Appl. Math. Comput.</a> <a href="/?q=in%3A501761" title="Articles in this Issue">69, No. 2, 1507-1539 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65L10" title="Numerical solution of boundary value problems involving ordinary differential equations">65L10</a> <a class="mono" href="/classification/?q=cc%3A65L60" title="Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations">65L60</a> <a class="mono" href="/classification/?q=cc%3A65L70" title="Error bounds for numerical methods for ordinary differential equations">65L70</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1518.65076" data-ciurl="/ci/07734295" data-biburl="/bibtex/07734295.bib" data-amsurl="/amsrefs/07734295.bib" data-xmlurl="/xml/07734295.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07734295.pdf" title="Zbl 1518.65076 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s12190-022-01803-1" aria-label="DOI for “A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems”" title="10.1007/s12190-022-01803-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7720243" value="7720243" aria-label="mark item Zbl 1539.65196"></div> <div class="author"><a href="/authors/pechstein.clemens" title="Author Profile">Pechstein, Clemens</a></div> <h3 class="title"> <a href="/1539.65196"><strong>A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1539.65196">Zbl 1539.65196</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A498971" title="Articles in this Issue">96, No. 2, Paper No. 60, 82 p. (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A20717">Severiano Gonzalez Pinto (La Laguna)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N22" title="Numerical solution of discretized equations for boundary value problems involving PDEs">65N22</a> <a class="mono" href="/classification/?q=cc%3A65F10" title="Iterative numerical methods for linear systems">65F10</a> <a class="mono" href="/classification/?q=cc%3A78A40" title="Waves and radiation in optics and electromagnetic theory">78A40</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1539.65196" data-ciurl="/ci/07720243" data-biburl="/bibtex/07720243.bib" data-amsurl="/amsrefs/07720243.bib" data-xmlurl="/xml/07720243.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07720243.pdf" title="Zbl 1539.65196 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10915-023-02248-9" aria-label="DOI for “A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points”" title="10.1007/s10915-023-02248-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2204.03436"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7715610" value="7715610" aria-label="mark item Zbl 1519.49019"></div> <div class="author"><a href="/authors/wu.wenbing" title="Author Profile">Wu, Wenbing</a></div> <h3 class="title"> <a href="/1519.49019"><strong>Stability of systems governed by elliptic partial differential equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1519.49019">Zbl 1519.49019</a> </h3> <div class="source"> <a href="/serials/484" title="Journal Profile">J. Differ. Equations</a> <a href="/?q=in%3A499885" title="Articles in this Issue">370, 271-304 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10228">Alain Brillard (Riedisheim)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A49K40" title="Sensitivity, stability, well-posedness">49K40</a> <a class="mono" href="/classification/?q=cc%3A49K20" title="Optimality conditions for problems involving partial differential equations">49K20</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A65F10" title="Iterative numerical methods for linear systems">65F10</a> <a class="mono" href="/classification/?q=cc%3A35J20" title="Variational methods for second-order elliptic equations">35J20</a> <a class="mono" href="/classification/?q=cc%3A35J92" title="Quasilinear elliptic equations with $p$-Laplacian">35J92</a> <a class="mono" href="/classification/?q=cc%3A35J25" title="Boundary value problems for second-order elliptic equations">35J25</a> <a class="mono" href="/classification/?q=cc%3A58E05" title="Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces">58E05</a> <a class="mono" href="/classification/?q=cc%3A33C10" title="Bessel and Airy functions, cylinder functions, ${}_0F_1$">33C10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1519.49019" data-ciurl="/ci/07715610" data-biburl="/bibtex/07715610.bib" data-amsurl="/amsrefs/07715610.bib" data-xmlurl="/xml/07715610.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07715610.pdf" title="Zbl 1519.49019 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jde.2023.06.020" aria-label="DOI for “Stability of systems governed by elliptic partial differential equations”" title="10.1016/j.jde.2023.06.020">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7704360" value="7704360" aria-label="mark item Zbl 1517.65085"></div> <div class="author"><a href="/authors/ma.chupeng" title="Author Profile">Ma, Chupeng</a>; <a href="/authors/alber.christian" title="Author Profile">Alber, Christian</a>; <a href="/authors/scheichl.robert" title="Author Profile">Scheichl, Robert</a></div> <h3 class="title"> <a href="/1517.65085"><strong>Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1517.65085">Zbl 1517.65085</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A496754" title="Articles in this Issue">61, No. 3, 1546-1584 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1517.65085" data-ciurl="/ci/07704360" data-biburl="/bibtex/07704360.bib" data-amsurl="/amsrefs/07704360.bib" data-xmlurl="/xml/07704360.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07704360.pdf" title="Zbl 1517.65085 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/21M1466748" aria-label="DOI for “Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems”" title="10.1137/21M1466748">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2112.10544"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7731798" value="7731798" aria-label="mark item Zbl 1525.65119"></div> <div class="author"><a href="/authors/benatia.nawfel" title="Author Profile">Benatia, N.</a>; <a href="/authors/el-kacimi.abdellah" title="Author Profile">El Kacimi, A.</a>; <a href="/authors/laghrouche.omar" title="Author Profile">Laghrouche, O.</a>; <a href="/authors/el-alaoui-talibi.mohamed" title="Author Profile">El Alaoui Talibi, M.</a>; <a href="/authors/trevelyan.jon" title="Author Profile">Trevelyan, J.</a></div> <h3 class="title"> <a href="/1525.65119"><strong>Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1525.65119">Zbl 1525.65119</a> </h3> <div class="source"> <a href="/serials/1551" title="Journal Profile">Appl. Math. Modelling</a> <a href="/?q=in%3A501504" title="Articles in this Issue">102, 115-136 (2022)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A74J05" title="Linear waves in solid mechanics">74J05</a> <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1525.65119" data-ciurl="/ci/07731798" data-biburl="/bibtex/07731798.bib" data-amsurl="/amsrefs/07731798.bib" data-xmlurl="/xml/07731798.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07731798.pdf" title="Zbl 1525.65119 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apm.2021.09.034" aria-label="DOI for “Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics”" title="10.1016/j.apm.2021.09.034">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://dro.dur.ac.uk/34067/1/34067.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7729706" value="7729706" aria-label="mark item Zbl 1520.00023"></div> <div class="author"></div> <div class="author_references"><a href="/authors/chandler-wilde.simon-n" title="Author Profile">Chandler-Wilde, Simon N. (ed.)</a>; <a href="/authors/dauge.monique" title="Author Profile">Dauge, Monique (ed.)</a>; <a href="/authors/spence.euan-a" title="Author Profile">Spence, Euan (ed.)</a>; <a href="/authors/wunsch.jared" title="Author Profile">Wunsch, Jared (ed.)</a></div> <h3 class="title"> <a href="/1520.00023"><strong>At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 – October 1, 2022.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1520.00023">Zbl 1520.00023</a> </h3> <div class="source"> <a href="/serials/3247" title="Journal Profile">Oberwolfach Rep.</a> <a href="/?q=in%3A501304" title="Articles in this Issue">19, No. 3, 2511-2587 (2022)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A00B05" title="Collections of abstracts of lectures">00B05</a> <a class="mono" href="/classification/?q=cc%3A00B25" title="Proceedings of conferences of miscellaneous specific interest">00B25</a> <a class="mono" href="/classification/?q=cc%3A35-06" title="Proceedings, conferences, collections, etc. pertaining to partial differential equations">35-06</a> <a class="mono" href="/classification/?q=cc%3A35Lxx" title="Hyperbolic equations and hyperbolic systems">35Lxx</a> <a class="mono" href="/classification/?q=cc%3A65K10" title="Numerical optimization and variational techniques">65K10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1520.00023" data-ciurl="/ci/07729706" data-biburl="/bibtex/07729706.bib" data-amsurl="/amsrefs/07729706.bib" data-xmlurl="/xml/07729706.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07729706.pdf" title="Zbl 1520.00023 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/OWR/2022/43" aria-label="DOI for “At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022”" title="10.4171/OWR/2022/43">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7633086" value="7633086" aria-label="mark item Zbl 1503.65299"></div> <div class="author"><a href="/authors/mascotto.lorenzo" title="Author Profile">Mascotto, Lorenzo</a>; <a href="/authors/perugia.ilaria" title="Author Profile">Perugia, Ilaria</a>; <a href="/authors/pichler.alexander" title="Author Profile">Pichler, Alexander</a></div> <h3 class="title"> <a href="/1503.65299"><strong>The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1503.65299">Zbl 1503.65299</a> </h3> <div class="source"> Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 363-410 (2022). </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A74J10" title="Bulk waves in solid mechanics">74J10</a> <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> <a class="mono" href="/classification/?q=cc%3A35Q74" title="PDEs in connection with mechanics of deformable solids">35Q74</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1503.65299" data-ciurl="/ci/07633086" data-biburl="/bibtex/07633086.bib" data-amsurl="/amsrefs/07633086.bib" data-xmlurl="/xml/07633086.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07633086.pdf" title="Zbl 1503.65299 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-030-95319-5_9" aria-label="DOI for “The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation”" title="10.1007/978-3-030-95319-5_9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2102.11581"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7582810" value="7582810" aria-label="mark item Zbl 1501.65093"></div> <div class="author"><a href="/authors/despres.bruno" title="Author Profile">Després, Bruno</a>; <a href="/authors/el-ghaoui.maria" title="Author Profile">El Ghaoui, Maria</a>; <a href="/authors/sayah.toni" title="Author Profile">Sayah, Toni</a></div> <h3 class="title"> <a href="/1501.65093"><strong>A Trefftz method with reconstruction of the normal derivative applied to elliptic equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1501.65093">Zbl 1501.65093</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A486504" title="Articles in this Issue">91, No. 338, 2645-2679 (2022)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11949">Abdallah Bradji (Annaba)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N08" title="Finite volume methods for boundary value problems involving PDEs">65N08</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35A25" title="Other special methods applied to PDEs">35A25</a> <a class="mono" href="/classification/?q=cc%3A35B45" title="A priori estimates in context of PDEs">35B45</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1501.65093" data-ciurl="/ci/07582810" data-biburl="/bibtex/07582810.bib" data-amsurl="/amsrefs/07582810.bib" data-xmlurl="/xml/07582810.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07582810.pdf" title="Zbl 1501.65093 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/mcom/3756" aria-label="DOI for “A Trefftz method with reconstruction of the normal derivative applied to elliptic equations”" title="10.1090/mcom/3756">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7578448" value="7578448" aria-label="mark item Zbl 1505.74197"></div> <div class="author"><a href="/authors/fuhrer.thomas" title="Author Profile">Führer, Thomas</a>; <a href="/authors/heuer.norbert" title="Author Profile">Heuer, Norbert</a>; <a href="/authors/niemi.antti-h" title="Author Profile">Niemi, Antti H.</a></div> <h3 class="title"> <a href="/1505.74197"><strong>A DPG method for shallow shells.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1505.74197">Zbl 1505.74197</a> </h3> <div class="source"> <a href="/serials/610" title="Journal Profile">Numer. Math.</a> <a href="/?q=in%3A486164" title="Articles in this Issue">152, No. 1, 67-99 (2022)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> <a class="mono" href="/classification/?q=cc%3A74K25" title="Shells">74K25</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1505.74197" data-ciurl="/ci/07578448" data-biburl="/bibtex/07578448.bib" data-amsurl="/amsrefs/07578448.bib" data-xmlurl="/xml/07578448.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07578448.pdf" title="Zbl 1505.74197 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00211-022-01308-w" aria-label="DOI for “A DPG method for shallow shells”" title="10.1007/s00211-022-01308-w">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2107.07624"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7565086" value="7565086" aria-label="mark item Zbl 1513.65501"></div> <div class="author"><a href="/authors/yang.andy-l" title="Author Profile">Yang, Andy L.</a>; <a href="/authors/?q=ai%3Agu.feng.1%7Cgu.feng" title="Author Profile">Gu, Feng</a></div> <h3 class="title"> <a href="/1513.65501"><strong>A mesh-less, ray-based deep neural network method for the Helmholtz equation with high frequency.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1513.65501">Zbl 1513.65501</a> </h3> <div class="source"> <a href="/serials/3193" title="Journal Profile">Int. J. Numer. Anal. Model.</a> <a href="/?q=in%3A484857" title="Articles in this Issue">19, No. 4, 587-601 (2022)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N99" title="Numerical methods for partial differential equations, boundary value problems">65N99</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A68T07" title="Artificial neural networks and deep learning">68T07</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1513.65501" data-ciurl="/ci/07565086" data-biburl="/bibtex/07565086.bib" data-amsurl="/amsrefs/07565086.bib" data-xmlurl="/xml/07565086.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07565086.pdf" title="Zbl 1513.65501 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://www.global-sci.org/intro/article_detail/ijnam/20660.html" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7506905" value="7506905" aria-label="mark item Zbl 1491.65093"></div> <div class="author"><a href="/authors/gomez.sergio-alejandro" title="Author Profile">Gómez, Sergio</a>; <a href="/authors/moiola.andrea" title="Author Profile">Moiola, Andrea</a></div> <h3 class="title"> <a href="/1491.65093"><strong>A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1491.65093">Zbl 1491.65093</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A479152" title="Articles in this Issue">60, No. 2, 688-714 (2022)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A18929">Yan Xu (Hefei)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A78M10" title="Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory">78M10</a> <a class="mono" href="/classification/?q=cc%3A35Q41" title="Time-dependent Schrödinger equations and Dirac equations">35Q41</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> <a class="mono" href="/classification/?q=cc%3A35B45" title="A priori estimates in context of PDEs">35B45</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> <a class="mono" href="/classification/?q=cc%3A35A02" title="Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness">35A02</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1491.65093" data-ciurl="/ci/07506905" data-biburl="/bibtex/07506905.bib" data-amsurl="/amsrefs/07506905.bib" data-xmlurl="/xml/07506905.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07506905.pdf" title="Zbl 1491.65093 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/21M1426079" aria-label="DOI for “A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation”" title="10.1137/21M1426079">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2106.04724"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7513985" value="7513985" aria-label="mark item Zbl 1487.00033"></div> <div class="author"></div> <div class="author_references"><a href="/authors/boffi.daniele" title="Author Profile">Boffi, Daniele (ed.)</a>; <a href="/authors/carstensen.carsten" title="Author Profile">Carstensen, Carsten (ed.)</a>; <a href="/authors/ern.alexandre" title="Author Profile">Ern, Alexandre (ed.)</a>; <a href="/authors/hu.jun.4" title="Author Profile">Hu, Jun (ed.)</a></div> <h3 class="title"> <a href="/1487.00033"><strong>Nonstandard finite element methods. Abstracts from the workshop held January 10–16, 2021 (hybrid meeting).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1487.00033">Zbl 1487.00033</a> </h3> <div class="source"> <a href="/serials/3247" title="Journal Profile">Oberwolfach Rep.</a> <a href="/?q=in%3A480966" title="Articles in this Issue">18, No. 1, 87-148 (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A00B05" title="Collections of abstracts of lectures">00B05</a> <a class="mono" href="/classification/?q=cc%3A00B25" title="Proceedings of conferences of miscellaneous specific interest">00B25</a> <a class="mono" href="/classification/?q=cc%3A65-06" title="Proceedings, conferences, collections, etc. pertaining to numerical analysis">65-06</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1487.00033" data-ciurl="/ci/07513985" data-biburl="/bibtex/07513985.bib" data-amsurl="/amsrefs/07513985.bib" data-xmlurl="/xml/07513985.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07513985.pdf" title="Zbl 1487.00033 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/OWR/2021/3" aria-label="DOI for “Nonstandard finite element methods. Abstracts from the workshop held January 10--16, 2021 (hybrid meeting)”" title="10.4171/OWR/2021/3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7513825" value="7513825" aria-label="mark item Zbl 07513825"></div> <div class="author"><a href="/authors/barucq.helene" title="Author Profile">Barucq, Hélène</a>; <a href="/authors/bendali.abderrahmane" title="Author Profile">Bendali, Abderrahmane</a>; <a href="/authors/diaz.julien" title="Author Profile">Diaz, Julien</a>; <a href="/authors/tordeux.sebastien" title="Author Profile">Tordeux, Sébastien</a></div> <h3 class="title"> <a href="/7513825"><strong>Local strategies for improving the conditioning of the plane-wave ultra-weak variational formulation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7513825">Zbl 07513825</a> </h3> <div class="source"> <a href="/serials/127" title="Journal Profile">J. Comput. Phys.</a> <a href="/?q=in%3A480943" title="Articles in this Issue">441, Article ID 110449, 18 p. (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65Nxx" title="Numerical methods for partial differential equations, boundary value problems">65Nxx</a> <a class="mono" href="/classification/?q=cc%3A35Jxx" title="Elliptic equations and elliptic systems">35Jxx</a> <a class="mono" href="/classification/?q=cc%3A76Mxx" title="Basic methods in fluid mechanics">76Mxx</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07513825" data-ciurl="/ci/07513825" data-biburl="/bibtex/07513825.bib" data-amsurl="/amsrefs/07513825.bib" data-xmlurl="/xml/07513825.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07513825.pdf" title="Zbl 07513825 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jcp.2021.110449" aria-label="DOI for “Local strategies for improving the conditioning of the plane-wave ultra-weak variational formulation”" title="10.1016/j.jcp.2021.110449">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7513813" value="7513813" aria-label="mark item Zbl 07513813"></div> <div class="author"><a href="/authors/fu.shubin" title="Author Profile">Fu, Shubin</a>; <a href="/authors/chung.eric-t" title="Author Profile">Chung, Eric T.</a>; <a href="/authors/li.guanglian" title="Author Profile">Li, Guanglian</a></div> <h3 class="title"> <a href="/7513813"><strong>An edge multiscale interior penalty discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7513813">Zbl 07513813</a> </h3> <div class="source"> <a href="/serials/127" title="Journal Profile">J. Comput. Phys.</a> <a href="/?q=in%3A480943" title="Articles in this Issue">441, Article ID 110387, 27 p. (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65Nxx" title="Numerical methods for partial differential equations, boundary value problems">65Nxx</a> <a class="mono" href="/classification/?q=cc%3A35Jxx" title="Elliptic equations and elliptic systems">35Jxx</a> <a class="mono" href="/classification/?q=cc%3A65Mxx" title="Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems">65Mxx</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07513813" data-ciurl="/ci/07513813" data-biburl="/bibtex/07513813.bib" data-amsurl="/amsrefs/07513813.bib" data-xmlurl="/xml/07513813.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07513813.pdf" title="Zbl 07513813 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jcp.2021.110387" aria-label="DOI for “An edge multiscale interior penalty discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber”" title="10.1016/j.jcp.2021.110387">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7414322" value="7414322" aria-label="mark item Zbl 1506.74497"></div> <div class="author"><a href="/authors/ma.houbiao" title="Author Profile">Ma, Houbiao</a>; <a href="/authors/zhang.yahui" title="Author Profile">Zhang, Yahui</a></div> <h3 class="title"> <a href="/1506.74497"><strong>An improved cell-based smoothed radial point interpolation method using condensed shape functions for 3D interior acoustic problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1506.74497">Zbl 1506.74497</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A471369" title="Articles in this Issue">380, Article ID 113805, 24 p. (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A74S99" title="Numerical and other methods in solid mechanics">74S99</a> <a class="mono" href="/classification/?q=cc%3A65D12" title="Numerical radial basis function approximation">65D12</a> <a class="mono" href="/classification/?q=cc%3A74J05" title="Linear waves in solid mechanics">74J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1506.74497" data-ciurl="/ci/07414322" data-biburl="/bibtex/07414322.bib" data-amsurl="/amsrefs/07414322.bib" data-xmlurl="/xml/07414322.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07414322.pdf" title="Zbl 1506.74497 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2021.113805" aria-label="DOI for “An improved cell-based smoothed radial point interpolation method using condensed shape functions for 3D interior acoustic problems”" title="10.1016/j.cma.2021.113805">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7409154" value="7409154" aria-label="mark item Zbl 1488.65695"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a>; <a href="/authors/xi.shuai" title="Author Profile">Xi, Shuai</a>; <a href="/authors/zhang.binlin" title="Author Profile">Zhang, Binlin</a></div> <h3 class="title"> <a href="/1488.65695"><strong>The plane wave methods for the time-harmonic elastic wave problems with the complex valued coefficients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1488.65695">Zbl 1488.65695</a> </h3> <div class="source"> <a href="/serials/6801" title="Journal Profile">Adv. Appl. Math. Mech.</a> <a href="/?q=in%3A470715" title="Articles in this Issue">13, No. 5, 1169-1202 (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N35" title="Spectral, collocation and related methods for boundary value problems involving PDEs">65N35</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65K10" title="Numerical optimization and variational techniques">65K10</a> <a class="mono" href="/classification/?q=cc%3A65F08" title="Preconditioners for iterative methods">65F08</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35Q74" title="PDEs in connection with mechanics of deformable solids">35Q74</a> <a class="mono" href="/classification/?q=cc%3A74K20" title="Plates">74K20</a> <a class="mono" href="/classification/?q=cc%3A74J20" title="Wave scattering in solid mechanics">74J20</a> <a class="mono" href="/classification/?q=cc%3A74B10" title="Linear elasticity with initial stresses">74B10</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A74S25" title="Spectral and related methods applied to problems in solid mechanics">74S25</a> <a class="mono" href="/classification/?q=cc%3A74K05" title="Strings">74K05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1488.65695" data-ciurl="/ci/07409154" data-biburl="/bibtex/07409154.bib" data-amsurl="/amsrefs/07409154.bib" data-xmlurl="/xml/07409154.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07409154.pdf" title="Zbl 1488.65695 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4208/aamm.OA-2020-0350" aria-label="DOI for “The plane wave methods for the time-harmonic elastic wave problems with the complex valued coefficients”" title="10.4208/aamm.OA-2020-0350">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7384071" value="7384071" aria-label="mark item Zbl 1524.65875"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a>; <a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a></div> <h3 class="title"> <a href="/1524.65875"><strong>Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1524.65875">Zbl 1524.65875</a> </h3> <div class="source"> <a href="/serials/62" title="Journal Profile">Comput. Math. Appl.</a> <a href="/?q=in%3A468026" title="Articles in this Issue">97, 355-374 (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A78A40" title="Waves and radiation in optics and electromagnetic theory">78A40</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> <a class="mono" href="/classification/?q=cc%3A76Q05" title="Hydro- and aero-acoustics">76Q05</a> <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> <a class="mono" href="/classification/?q=cc%3A74B10" title="Linear elasticity with initial stresses">74B10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1524.65875" data-ciurl="/ci/07384071" data-biburl="/bibtex/07384071.bib" data-amsurl="/amsrefs/07384071.bib" data-xmlurl="/xml/07384071.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07384071.pdf" title="Zbl 1524.65875 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.camwa.2021.06.008" aria-label="DOI for “Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media”" title="10.1016/j.camwa.2021.06.008">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1909.05997"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7360830" value="7360830" aria-label="mark item Zbl 1467.65110"></div> <div class="author"><a href="/authors/imbert-gerard.lise-marie" title="Author Profile">Imbert-Gerard, Lise-Marie</a></div> <h3 class="title"> <a href="/1467.65110"><strong>Amplitude-based generalized plane waves: new quasi-Trefftz functions for scalar equations in two dimensions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1467.65110">Zbl 1467.65110</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A463732" title="Articles in this Issue">59, No. 3, 1663-1686 (2021)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A12390">Bülent Karasözen (Ankara)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N80" title="Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs">65N80</a> <a class="mono" href="/classification/?q=cc%3A68W25" title="Approximation algorithms">68W25</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1467.65110" data-ciurl="/ci/07360830" data-biburl="/bibtex/07360830.bib" data-amsurl="/amsrefs/07360830.bib" data-xmlurl="/xml/07360830.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07360830.pdf" title="Zbl 1467.65110 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/20M136791X" aria-label="DOI for “Amplitude-based generalized plane waves: new quasi-Trefftz functions for scalar equations in two dimensions”" title="10.1137/20M136791X">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2009.05306"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7352584" value="7352584" aria-label="mark item Zbl 1465.65152"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a></div> <h3 class="title"> <a href="/1465.65152"><strong>A plane wave least squares method for the Maxwell equations in anisotropic media.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1465.65152">Zbl 1465.65152</a> </h3> <div class="source"> <a href="/serials/1417" title="Journal Profile">Numer. Algorithms</a> <a href="/?q=in%3A463809" title="Articles in this Issue">87, No. 2, 873-894 (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A78A25" title="Electromagnetic theory (general)">78A25</a> <a class="mono" href="/classification/?q=cc%3A78M10" title="Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory">78M10</a> <a class="mono" href="/classification/?q=cc%3A35Q61" title="Maxwell equations">35Q61</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1465.65152" data-ciurl="/ci/07352584" data-biburl="/bibtex/07352584.bib" data-amsurl="/amsrefs/07352584.bib" data-xmlurl="/xml/07352584.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07352584.pdf" title="Zbl 1465.65152 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11075-020-00991-w" aria-label="DOI for “A plane wave least squares method for the Maxwell equations in anisotropic media”" title="10.1007/s11075-020-00991-w">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7347013" value="7347013" aria-label="mark item Zbl 1471.65177"></div> <div class="author"><a href="/authors/zhu.bingxin" title="Author Profile">Zhu, Bingxin</a>; <a href="/authors/wu.haijun" title="Author Profile">Wu, Haijun</a></div> <h3 class="title"> <a href="/1471.65177"><strong>Preasymptotic error analysis of the HDG method for Helmholtz equation with large wave number.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1471.65177">Zbl 1471.65177</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A462438" title="Articles in this Issue">87, No. 2, Paper No. 63, 34 p. (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A78A40" title="Waves and radiation in optics and electromagnetic theory">78A40</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1471.65177" data-ciurl="/ci/07347013" data-biburl="/bibtex/07347013.bib" data-amsurl="/amsrefs/07347013.bib" data-xmlurl="/xml/07347013.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07347013.pdf" title="Zbl 1471.65177 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10915-021-01473-4" aria-label="DOI for “Preasymptotic error analysis of the HDG method for Helmholtz equation with large wave number”" title="10.1007/s10915-021-01473-4">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7305271" value="7305271" aria-label="mark item Zbl 1464.65229"></div> <div class="author"><a href="/authors/gilvey.benjamin" title="Author Profile">Gilvey, B.</a>; <a href="/authors/trevelyan.jon" title="Author Profile">Trevelyan, J.</a></div> <h3 class="title"> <a href="/1464.65229"><strong>A comparison of high-order and plane wave enriched boundary element basis functions for Helmholtz problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1464.65229">Zbl 1464.65229</a> </h3> <div class="source"> <a href="/serials/2132" title="Journal Profile">Eng. Anal. Bound. Elem.</a> <a href="/?q=in%3A458234" title="Articles in this Issue">122, 190-201 (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> <a class="mono" href="/classification/?q=cc%3A65D07" title="Numerical computation using splines">65D07</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1464.65229" data-ciurl="/ci/07305271" data-biburl="/bibtex/07305271.bib" data-amsurl="/amsrefs/07305271.bib" data-xmlurl="/xml/07305271.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07305271.pdf" title="Zbl 1464.65229 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.enganabound.2020.10.008" aria-label="DOI for “A comparison of high-order and plane wave enriched boundary element basis functions for Helmholtz problems”" title="10.1016/j.enganabound.2020.10.008">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://dro.dur.ac.uk/31905/" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7241280" value="7241280" aria-label="mark item Zbl 1446.65178"></div> <div class="author"><a href="/authors/peng.jie" title="Author Profile">Peng, Jie</a>; <a href="/authors/shu.shi" title="Author Profile">Shu, Shi</a>; <a href="/authors/wang.junxian" title="Author Profile">Wang, Junxian</a>; <a href="/authors/zhong.liuqiang" title="Author Profile">Zhong, Liuqiang</a></div> <h3 class="title"> <a href="/1446.65178"><strong>Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1446.65178">Zbl 1446.65178</a> </h3> <div class="source"> <a href="/serials/482" title="Journal Profile">J. Comput. Appl. Math.</a> <a href="/?q=in%3A452499" title="Articles in this Issue">381, Article ID 113011, 21 p. (2021)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65F10" title="Iterative numerical methods for linear systems">65F10</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A65N50" title="Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs">65N50</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A35J20" title="Variational methods for second-order elliptic equations">35J20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1446.65178" data-ciurl="/ci/07241280" data-biburl="/bibtex/07241280.bib" data-amsurl="/amsrefs/07241280.bib" data-xmlurl="/xml/07241280.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07241280.pdf" title="Zbl 1446.65178 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cam.2020.113011" aria-label="DOI for “Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems”" title="10.1016/j.cam.2020.113011">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1909.04426"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7843208" value="7843208" aria-label="mark item Zbl 1548.76195"></div> <div class="author"><a href="/authors/gilvey.benjamin" title="Author Profile">Gilvey, B.</a>; <a href="/authors/trevelyan.jon" title="Author Profile">Trevelyan, J.</a>; <a href="/authors/hattori.gabriel" title="Author Profile">Hattori, G.</a></div> <h3 class="title"> <a href="/1548.76195"><strong>Singular enrichment functions for Helmholtz scattering at corner locations using the boundary element method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1548.76195">Zbl 1548.76195</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A511868" title="Articles in this Issue">121, No. 3, 519-533 (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A76Q05" title="Hydro- and aero-acoustics">76Q05</a> <a class="mono" href="/classification/?q=cc%3A76M15" title="Boundary element methods applied to problems in fluid mechanics">76M15</a> <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1548.76195" data-ciurl="/ci/07843208" data-biburl="/bibtex/07843208.bib" data-amsurl="/amsrefs/07843208.bib" data-xmlurl="/xml/07843208.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07843208.pdf" title="Zbl 1548.76195 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/nme.6232" aria-label="DOI for “Singular enrichment functions for Helmholtz scattering at corner locations using the boundary element method”" title="10.1002/nme.6232">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://www.repository.cam.ac.uk/handle/1810/296743" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7544884" value="7544884" aria-label="mark item Zbl 1489.65149"></div> <div class="author"><a href="/authors/toprakseven.suayip" title="Author Profile">Toprakseven, Şuayip</a></div> <h3 class="title"> <a href="/1489.65149"><strong>A space-time discontinuous Galerkin method for linear hyperbolic PDE’s with high frequencies.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1489.65149">Zbl 1489.65149</a> </h3> <div class="source"> <a href="/serials/2525" title="Journal Profile">Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat.</a> <a href="/?q=in%3A483356" title="Articles in this Issue">69, No. 1, 213-231 (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A35L03" title="Initial value problems for first-order hyperbolic equations">35L03</a> <a class="mono" href="/classification/?q=cc%3A35L65" title="Hyperbolic conservation laws">35L65</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1489.65149" data-ciurl="/ci/07544884" data-biburl="/bibtex/07544884.bib" data-amsurl="/amsrefs/07544884.bib" data-xmlurl="/xml/07544884.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07544884.pdf" title="Zbl 1489.65149 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.31801/cfsuasmas.544522" aria-label="DOI for “A space-time discontinuous Galerkin method for linear hyperbolic PDE's with high frequencies”" title="10.31801/cfsuasmas.544522">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7475929" value="7475929" aria-label="mark item Zbl 1480.65349"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a>; <a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a></div> <h3 class="title"> <a href="/1480.65349"><strong>Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1480.65349">Zbl 1480.65349</a> </h3> <div class="source"> <a href="/serials/1585" title="Journal Profile">Int. J. Comput. Math.</a> <a href="/?q=in%3A477019" title="Articles in this Issue">97, No. 4, 920-941 (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1480.65349" data-ciurl="/ci/07475929" data-biburl="/bibtex/07475929.bib" data-amsurl="/amsrefs/07475929.bib" data-xmlurl="/xml/07475929.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07475929.pdf" title="Zbl 1480.65349 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/00207160.2019.1616177" aria-label="DOI for “Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers”" title="10.1080/00207160.2019.1616177">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7387255" value="7387255" aria-label="mark item Zbl 1481.80004"></div> <div class="author"><a href="/authors/iqbal.muhammad.2" title="Author Profile">Iqbal, M.</a>; <a href="/authors/alam.khurshid" title="Author Profile">Alam, K.</a>; <a href="/authors/gimperlein.heiko" title="Author Profile">Gimperlein, H.</a>; <a href="/authors/laghrouche.omar" title="Author Profile">Laghrouche, O.</a>; <a href="/authors/mohamed.m-shadi" title="Author Profile">Mohamed, M. S.</a></div> <h3 class="title"> <a href="/1481.80004"><strong>Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1481.80004">Zbl 1481.80004</a> </h3> <div class="source"> <a href="/serials/1551" title="Journal Profile">Appl. Math. Modelling</a> <a href="/?q=in%3A468434" title="Articles in this Issue">85, 89-106 (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A80A19" title="Diffusive and convective heat and mass transfer, heat flow">80A19</a> <a class="mono" href="/classification/?q=cc%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1481.80004" data-ciurl="/ci/07387255" data-biburl="/bibtex/07387255.bib" data-amsurl="/amsrefs/07387255.bib" data-xmlurl="/xml/07387255.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07387255.pdf" title="Zbl 1481.80004 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apm.2020.04.018" aria-label="DOI for “Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems”" title="10.1016/j.apm.2020.04.018">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7296574" value="7296574" aria-label="mark item Zbl 1452.76088"></div> <div class="author"><a href="/authors/fure.hakon-sem" title="Author Profile">Fure, Håkon Sem</a>; <a href="/authors/pernet.sebastien" title="Author Profile">Pernet, Sébastien</a>; <a href="/authors/sirdey.margot" title="Author Profile">Sirdey, Margot</a>; <a href="/authors/tordeux.sebastien" title="Author Profile">Tordeux, Sébastien</a></div> <h3 class="title"> <a href="/1452.76088"><strong>A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1452.76088">Zbl 1452.76088</a> </h3> <div class="source"> <a href="/serials/9777" title="Journal Profile">SN Partial Differ. Equ. Appl.</a> <a href="/?q=in%3A456232" title="Articles in this Issue">1, No. 4, Paper No. 23, 25 p. (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35Q61" title="Maxwell equations">35Q61</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1452.76088" data-ciurl="/ci/07296574" data-biburl="/bibtex/07296574.bib" data-amsurl="/amsrefs/07296574.bib" data-xmlurl="/xml/07296574.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07296574.pdf" title="Zbl 1452.76088 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s42985-020-00024-0" aria-label="DOI for “A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations”" title="10.1007/s42985-020-00024-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-02899350" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7275250" value="7275250" aria-label="mark item Zbl 1452.65342"></div> <div class="author"><a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a>; <a href="/authors/song.rongrong" title="Author Profile">Song, Rongrong</a></div> <h3 class="title"> <a href="/1452.65342"><strong>A novel least squares method for Helmholtz equations with large wave numbers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1452.65342">Zbl 1452.65342</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A453119" title="Articles in this Issue">58, No. 5, 3091-3123 (2020)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A5388">Calin Ioan Gheorghiu (Cluj-Napoca)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65F08" title="Preconditioners for iterative methods">65F08</a> <a class="mono" href="/classification/?q=cc%3A65F10" title="Iterative numerical methods for linear systems">65F10</a> <a class="mono" href="/classification/?q=cc%3A65Y05" title="Parallel numerical computation">65Y05</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1452.65342" data-ciurl="/ci/07275250" data-biburl="/bibtex/07275250.bib" data-amsurl="/amsrefs/07275250.bib" data-xmlurl="/xml/07275250.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07275250.pdf" title="Zbl 1452.65342 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/19M1294101" aria-label="DOI for “A novel least squares method for Helmholtz equations with large wave numbers”" title="10.1137/19M1294101">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1902.01166"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7261060" value="7261060" aria-label="mark item Zbl 1466.65206"></div> <div class="author"><a href="/authors/wang.chunmei" title="Author Profile">Wang, Chunmei</a>; <a href="/authors/wang.junping" title="Author Profile">Wang, Junping</a></div> <h3 class="title"> <a href="/1466.65206"><strong>A primal-dual weak Galerkin finite element method for Fokker-Planck type equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1466.65206">Zbl 1466.65206</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A453119" title="Articles in this Issue">58, No. 5, 2632-2661 (2020)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A16773">Andreas Mang (Houston)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A74N20" title="Dynamics of phase boundaries in solids">74N20</a> <a class="mono" href="/classification/?q=cc%3A35B45" title="A priori estimates in context of PDEs">35B45</a> <a class="mono" href="/classification/?q=cc%3A35J50" title="Variational methods for elliptic systems">35J50</a> <a class="mono" href="/classification/?q=cc%3A35J35" title="Variational methods for higher-order elliptic equations">35J35</a> <a class="mono" href="/classification/?q=cc%3A35Q84" title="Fokker-Planck equations">35Q84</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1466.65206" data-ciurl="/ci/07261060" data-biburl="/bibtex/07261060.bib" data-amsurl="/amsrefs/07261060.bib" data-xmlurl="/xml/07261060.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07261060.pdf" title="Zbl 1466.65206 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/17M1126618" aria-label="DOI for “A primal-dual weak Galerkin finite element method for Fokker-Planck type equations”" title="10.1137/17M1126618">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1704.05606"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7198854" value="7198854" aria-label="mark item Zbl 1437.35523"></div> <div class="author"><a href="/authors/buet.christophe" title="Author Profile">Buet, Christophe</a>; <a href="/authors/despres.bruno" title="Author Profile">Despres, Bruno</a>; <a href="/authors/morel.guillaume" title="Author Profile">Morel, Guillaume</a></div> <h3 class="title"> <a href="/1437.35523"><strong>Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1437.35523">Zbl 1437.35523</a> </h3> <div class="source"> <a href="/serials/2087" title="Journal Profile">Adv. Comput. Math.</a> <a href="/?q=in%3A449097" title="Articles in this Issue">46, No. 3, Paper No. 41, 27 p. (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q20" title="Boltzmann equations">35Q20</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35Q49" title="Transport equations">35Q49</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1437.35523" data-ciurl="/ci/07198854" data-biburl="/bibtex/07198854.bib" data-amsurl="/amsrefs/07198854.bib" data-xmlurl="/xml/07198854.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07198854.pdf" title="Zbl 1437.35523 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10444-020-09755-5" aria-label="DOI for “Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport”" title="10.1007/s10444-020-09755-5">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-01964528" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7191345" value="7191345" aria-label="mark item Zbl 1436.65185"></div> <div class="author"><a href="/authors/mascotto.lorenzo" title="Author Profile">Mascotto, Lorenzo</a>; <a href="/authors/pichler.alexander" title="Author Profile">Pichler, Alexander</a></div> <h3 class="title"> <a href="/1436.65185"><strong>Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1436.65185">Zbl 1436.65185</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A448531" title="Articles in this Issue">155, 160-180 (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A76T06" title="Liquid-liquid two component flows">76T06</a> <a class="mono" href="/classification/?q=cc%3A65N50" title="Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs">65N50</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1436.65185" data-ciurl="/ci/07191345" data-biburl="/bibtex/07191345.bib" data-amsurl="/amsrefs/07191345.bib" data-xmlurl="/xml/07191345.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07191345.pdf" title="Zbl 1436.65185 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2019.04.005" aria-label="DOI for “Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number”" title="10.1016/j.apnum.2019.04.005">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1811.01645"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7174115" value="7174115" aria-label="mark item Zbl 1434.65015"></div> <div class="author"><a href="/authors/li.yunzhang.1" title="Author Profile">Li, Yunzhang</a>; <a href="/authors/shu.chi-wang" title="Author Profile">Shu, Chi-Wang</a>; <a href="/authors/tang.shanjian" title="Author Profile">Tang, Shanjian</a></div> <h3 class="title"> <a href="/1434.65015"><strong>An ultra-weak discontinuous Galerkin method with implicit-explicit time-marching for generalized stochastic KdV equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1434.65015">Zbl 1434.65015</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A447100" title="Articles in this Issue">82, No. 3, Paper No. 61, 36 p. (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65C30" title="Numerical solutions to stochastic differential and integral equations">65C30</a> <a class="mono" href="/classification/?q=cc%3A60H35" title="Computational methods for stochastic equations (aspects of stochastic analysis)">60H35</a> <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1434.65015" data-ciurl="/ci/07174115" data-biburl="/bibtex/07174115.bib" data-amsurl="/amsrefs/07174115.bib" data-xmlurl="/xml/07174115.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07174115.pdf" title="Zbl 1434.65015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10915-020-01162-8" aria-label="DOI for “An ultra-weak discontinuous Galerkin method with implicit-explicit time-marching for generalized stochastic KdV equations”" title="10.1007/s10915-020-01162-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7172993" value="7172993" aria-label="mark item Zbl 1434.65299"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a></div> <h3 class="title"> <a href="/1434.65299"><strong>A combined scheme of the local spectral element method and the generalized plane wave discontinuous Galerkin method for the anisotropic Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1434.65299">Zbl 1434.65299</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A447011" title="Articles in this Issue">150, 341-360 (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N35" title="Spectral, collocation and related methods for boundary value problems involving PDEs">65N35</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1434.65299" data-ciurl="/ci/07172993" data-biburl="/bibtex/07172993.bib" data-amsurl="/amsrefs/07172993.bib" data-xmlurl="/xml/07172993.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07172993.pdf" title="Zbl 1434.65299 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2019.10.012" aria-label="DOI for “A combined scheme of the local spectral element method and the generalized plane wave discontinuous Galerkin method for the anisotropic Helmholtz equation”" title="10.1016/j.apnum.2019.10.012">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7161479" value="7161479" aria-label="mark item Zbl 1440.65131"></div> <div class="author"><a href="/authors/chen.anqi" title="Author Profile">Chen, Anqi</a>; <a href="/authors/cheng.yingda" title="Author Profile">Cheng, Yingda</a>; <a href="/authors/liu.yong.7" title="Author Profile">Liu, Yong</a>; <a href="/authors/zhang.mengping" title="Author Profile">Zhang, Mengping</a></div> <h3 class="title"> <a href="/1440.65131"><strong>Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1440.65131">Zbl 1440.65131</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A445169" title="Articles in this Issue">82, No. 1, Paper No. 22, 44 p. (2020)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A65M06" title="Finite difference methods for initial value and initial-boundary value problems involving PDEs">65M06</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> <a class="mono" href="/classification/?q=cc%3A35Q41" title="Time-dependent Schrödinger equations and Dirac equations">35Q41</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1440.65131" data-ciurl="/ci/07161479" data-biburl="/bibtex/07161479.bib" data-amsurl="/amsrefs/07161479.bib" data-xmlurl="/xml/07161479.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07161479.pdf" title="Zbl 1440.65131 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10915-020-01124-0" aria-label="DOI for “Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension”" title="10.1007/s10915-020-01124-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1905.08161"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7417543" value="7417543" aria-label="mark item Zbl 1473.65324"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a>; <a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a></div> <h3 class="title"> <a href="/1473.65324"><strong>Error analysis of the plane wave discontinuous Galerkin method for Maxwell’s equations in anisotropic media.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1473.65324">Zbl 1473.65324</a> </h3> <div class="source"> <a href="/serials/4971" title="Journal Profile">Commun. Comput. Phys.</a> <a href="/?q=in%3A471583" title="Articles in this Issue">25, No. 5, 1496-1522 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1473.65324" data-ciurl="/ci/07417543" data-biburl="/bibtex/07417543.bib" data-amsurl="/amsrefs/07417543.bib" data-xmlurl="/xml/07417543.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07417543.pdf" title="Zbl 1473.65324 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4208/cicp.OA-2018-0104" aria-label="DOI for “Error analysis of the plane wave discontinuous Galerkin method for Maxwell's equations in anisotropic media”" title="10.4208/cicp.OA-2018-0104">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7221212" value="7221212" aria-label="mark item Zbl 1524.65889"></div> <div class="author"><a href="/authors/huybrechs.daan" title="Author Profile">Huybrechs, Daan</a>; <a href="/authors/olteanu.anda-elena" title="Author Profile">Olteanu, Anda-Elena</a></div> <h3 class="title"> <a href="/1524.65889"><strong>An oversampled collocation approach of the wave based method for Helmholtz problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1524.65889">Zbl 1524.65889</a> </h3> <div class="source"> <a href="/serials/218" title="Journal Profile">Wave Motion</a> <a href="/?q=in%3A450945" title="Articles in this Issue">87, 92-105 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N35" title="Spectral, collocation and related methods for boundary value problems involving PDEs">65N35</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1524.65889" data-ciurl="/ci/07221212" data-biburl="/bibtex/07221212.bib" data-amsurl="/amsrefs/07221212.bib" data-xmlurl="/xml/07221212.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07221212.pdf" title="Zbl 1524.65889 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.wavemoti.2018.06.001" aria-label="DOI for “An oversampled collocation approach of the wave based method for Helmholtz problems”" title="10.1016/j.wavemoti.2018.06.001">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1802.01090"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://lirias.kuleuven.be/handle/123456789/656048" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7189751" value="7189751" aria-label="mark item Zbl 1440.65251"></div> <div class="author"><a href="/authors/mascotto.lorenzo" title="Author Profile">Mascotto, Lorenzo</a>; <a href="/authors/perugia.ilaria" title="Author Profile">Perugia, Ilaria</a>; <a href="/authors/pichler.alexander" title="Author Profile">Pichler, Alexander</a></div> <h3 class="title"> <a href="/1440.65251"><strong>A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1440.65251">Zbl 1440.65251</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A448459" title="Articles in this Issue">347, 445-476 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N35" title="Spectral, collocation and related methods for boundary value problems involving PDEs">65N35</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A35J25" title="Boundary value problems for second-order elliptic equations">35J25</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A74J20" title="Wave scattering in solid mechanics">74J20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1440.65251" data-ciurl="/ci/07189751" data-biburl="/bibtex/07189751.bib" data-amsurl="/amsrefs/07189751.bib" data-xmlurl="/xml/07189751.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07189751.pdf" title="Zbl 1440.65251 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2018.12.039" aria-label="DOI for “A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects”" title="10.1016/j.cma.2018.12.039">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1807.11237"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7188363" value="7188363" aria-label="mark item Zbl 1440.74391"></div> <div class="author"><a href="/authors/el-kacimi.abdellah" title="Author Profile">El Kacimi, A.</a>; <a href="/authors/laghrouche.omar" title="Author Profile">Laghrouche, O.</a>; <a href="/authors/mohamed.m-shadi" title="Author Profile">Mohamed, M. S.</a>; <a href="/authors/trevelyan.jon" title="Author Profile">Trevelyan, J.</a></div> <h3 class="title"> <a href="/1440.74391"><strong>Bernstein-Bézier based finite elements for efficient solution of short wave problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1440.74391">Zbl 1440.74391</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A448379" title="Articles in this Issue">343, 166-185 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A74J05" title="Linear waves in solid mechanics">74J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1440.74391" data-ciurl="/ci/07188363" data-biburl="/bibtex/07188363.bib" data-amsurl="/amsrefs/07188363.bib" data-xmlurl="/xml/07188363.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07188363.pdf" title="Zbl 1440.74391 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2018.07.040" aria-label="DOI for “Bernstein-Bézier based finite elements for efficient solution of short wave problems”" title="10.1016/j.cma.2018.07.040">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://dro.dur.ac.uk/25803/1/25803.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7139237" value="7139237" aria-label="mark item Zbl 1431.65218"></div> <div class="author"><a href="/authors/mascotto.lorenzo" title="Author Profile">Mascotto, Lorenzo</a>; <a href="/authors/perugia.ilaria" title="Author Profile">Perugia, Ilaria</a>; <a href="/authors/pichler.alexander" title="Author Profile">Pichler, Alexander</a></div> <h3 class="title"> <a href="/1431.65218"><strong>A nonconforming Trefftz virtual element method for the Helmholtz problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1431.65218">Zbl 1431.65218</a> </h3> <div class="source"> <a href="/serials/1416" title="Journal Profile">Math. Models Methods Appl. Sci.</a> <a href="/?q=in%3A442986" title="Articles in this Issue">29, No. 9, 1619-1656 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1431.65218" data-ciurl="/ci/07139237" data-biburl="/bibtex/07139237.bib" data-amsurl="/amsrefs/07139237.bib" data-xmlurl="/xml/07139237.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07139237.pdf" title="Zbl 1431.65218 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218202519500301" aria-label="DOI for “A nonconforming Trefftz virtual element method for the Helmholtz problem”" title="10.1142/S0218202519500301">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1805.05634"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7101774" value="7101774" aria-label="mark item Zbl 1438.65300"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a>; <a href="/authors/liu.yang-g" title="Author Profile">Liu, Yang</a></div> <h3 class="title"> <a href="/1438.65300"><strong>A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1438.65300">Zbl 1438.65300</a> </h3> <div class="source"> <a href="/serials/1994" title="Journal Profile">Comput. Appl. Math.</a> <a href="/?q=in%3A438051" title="Articles in this Issue">38, No. 3, Paper No. 137, 29 p. (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N35" title="Spectral, collocation and related methods for boundary value problems involving PDEs">65N35</a> <a class="mono" href="/classification/?q=cc%3A74J10" title="Bulk waves in solid mechanics">74J10</a> <a class="mono" href="/classification/?q=cc%3A74S10" title="Finite volume methods applied to problems in solid mechanics">74S10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1438.65300" data-ciurl="/ci/07101774" data-biburl="/bibtex/07101774.bib" data-amsurl="/amsrefs/07101774.bib" data-xmlurl="/xml/07101774.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07101774.pdf" title="Zbl 1438.65300 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40314-019-0900-y" aria-label="DOI for “A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems”" title="10.1007/s40314-019-0900-y">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7101253" value="7101253" aria-label="mark item Zbl 1438.65240"></div> <div class="author"><a href="/authors/malek.mustapha" title="Author Profile">Malek, Mustapha</a>; <a href="/authors/izem.nouh" title="Author Profile">Izem, Nouh</a>; <a href="/authors/seaid.mohammed" title="Author Profile">Seaid, Mohammed</a>; <a href="/authors/mohamed.m-shadi" title="Author Profile">Mohamed, M. Shadi</a>; <a href="/authors/wakrim.mohamed" title="Author Profile">Wakrim, Mohamed</a></div> <h3 class="title"> <a href="/1438.65240"><strong>A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1438.65240">Zbl 1438.65240</a> </h3> <div class="source"> <a href="/serials/1994" title="Journal Profile">Comput. Appl. Math.</a> <a href="/?q=in%3A438008" title="Articles in this Issue">38, No. 2, Paper No. 31, 19 p. (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A35K59" title="Quasilinear parabolic equations">35K59</a> <a class="mono" href="/classification/?q=cc%3A74A40" title="Random materials and composite materials">74A40</a> <a class="mono" href="/classification/?q=cc%3A80A19" title="Diffusive and convective heat and mass transfer, heat flow">80A19</a> <a class="mono" href="/classification/?q=cc%3A80M10" title="Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer">80M10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1438.65240" data-ciurl="/ci/07101253" data-biburl="/bibtex/07101253.bib" data-amsurl="/amsrefs/07101253.bib" data-xmlurl="/xml/07101253.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07101253.pdf" title="Zbl 1438.65240 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40314-019-0782-z" aria-label="DOI for “A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials”" title="10.1007/s40314-019-0782-z">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7087736" value="7087736" aria-label="mark item Zbl 1416.78026"></div> <div class="author"><a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a>; <a href="/authors/song.rongrong" title="Author Profile">Song, Rongrong</a></div> <h3 class="title"> <a href="/1416.78026"><strong>A variant of the plane wave least squares method for the time-harmonic Maxwell’s equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1416.78026">Zbl 1416.78026</a> </h3> <div class="source"> <a href="/serials/3314" title="Journal Profile">ESAIM, Math. Model. Numer. Anal.</a> <a href="/?q=in%3A434249" title="Articles in this Issue">53, No. 1, 85-103 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A78M10" title="Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory">78M10</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A78A10" title="Physical optics">78A10</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1416.78026" data-ciurl="/ci/07087736" data-biburl="/bibtex/07087736.bib" data-amsurl="/amsrefs/07087736.bib" data-xmlurl="/xml/07087736.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07087736.pdf" title="Zbl 1416.78026 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1051/m2an/2018043" aria-label="DOI for “A variant of the plane wave least squares method for the time-harmonic Maxwell's equations”" title="10.1051/m2an/2018043">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1712.10101"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7063591" value="7063591" aria-label="mark item Zbl 1417.65167"></div> <div class="author"><a href="/authors/chen.anqi" title="Author Profile">Chen, Anqi</a>; <a href="/authors/li.fengyan" title="Author Profile">Li, Fengyan</a>; <a href="/authors/cheng.yingda" title="Author Profile">Cheng, Yingda</a></div> <h3 class="title"> <a href="/1417.65167"><strong>An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1417.65167">Zbl 1417.65167</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A433718" title="Articles in this Issue">78, No. 2, 772-815 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A65L06" title="Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations">65L06</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> <a class="mono" href="/classification/?q=cc%3A35Q55" title="NLS equations (nonlinear Schrödinger equations)">35Q55</a> <a class="mono" href="/classification/?q=cc%3A35Q41" title="Time-dependent Schrödinger equations and Dirac equations">35Q41</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1417.65167" data-ciurl="/ci/07063591" data-biburl="/bibtex/07063591.bib" data-amsurl="/amsrefs/07063591.bib" data-xmlurl="/xml/07063591.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07063591.pdf" title="Zbl 1417.65167 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10915-018-0789-4" aria-label="DOI for “An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension”" title="10.1007/s10915-018-0789-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1801.05875"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7063050" value="7063050" aria-label="mark item Zbl 1464.65241"></div> <div class="author"><a href="/authors/luan.tian" title="Author Profile">Luan, Tian</a>; <a href="/authors/sun.yao" title="Author Profile">Sun, Yao</a>; <a href="/authors/zhuang.zibo" title="Author Profile">Zhuang, Zibo</a></div> <h3 class="title"> <a href="/1464.65241"><strong>A meshless numerical method for time harmonic quasi-periodic scattering problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1464.65241">Zbl 1464.65241</a> </h3> <div class="source"> <a href="/serials/2132" title="Journal Profile">Eng. Anal. Bound. Elem.</a> <a href="/?q=in%3A433676" title="Articles in this Issue">104, 320-331 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A35P25" title="Scattering theory for PDEs">35P25</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1464.65241" data-ciurl="/ci/07063050" data-biburl="/bibtex/07063050.bib" data-amsurl="/amsrefs/07063050.bib" data-xmlurl="/xml/07063050.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07063050.pdf" title="Zbl 1464.65241 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.enganabound.2019.03.034" aria-label="DOI for “A meshless numerical method for time harmonic quasi-periodic scattering problem”" title="10.1016/j.enganabound.2019.03.034">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7055805" value="7055805" aria-label="mark item Zbl 1419.65105"></div> <div class="author"><a href="/authors/congreve.scott" title="Author Profile">Congreve, Scott</a>; <a href="/authors/houston.paul" title="Author Profile">Houston, Paul</a>; <a href="/authors/perugia.ilaria" title="Author Profile">Perugia, Ilaria</a></div> <h3 class="title"> <a href="/1419.65105"><strong>Adaptive refinement for $hp$-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1419.65105">Zbl 1419.65105</a> </h3> <div class="source"> <a href="/serials/2087" title="Journal Profile">Adv. Comput. Math.</a> <a href="/?q=in%3A432876" title="Articles in this Issue">45, No. 1, 361-393 (2019)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11949">Abdallah Bradji (Annaba)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N50" title="Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs">65N50</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A78M10" title="Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory">78M10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1419.65105" data-ciurl="/ci/07055805" data-biburl="/bibtex/07055805.bib" data-amsurl="/amsrefs/07055805.bib" data-xmlurl="/xml/07055805.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07055805.pdf" title="Zbl 1419.65105 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10444-018-9621-9" aria-label="DOI for “Adaptive refinement for $hp$-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem”" title="10.1007/s10444-018-9621-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1710.11427"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://eprints.nottingham.ac.uk/52555/" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7047691" value="7047691" aria-label="mark item Zbl 1414.65029"></div> <div class="author"><a href="/authors/congreve.scott" title="Author Profile">Congreve, Scott</a>; <a href="/authors/gedicke.joscha" title="Author Profile">Gedicke, Joscha</a>; <a href="/authors/perugia.ilaria" title="Author Profile">Perugia, Ilaria</a></div> <h3 class="title"> <a href="/1414.65029"><strong>Robust adaptive $hp$ discontinuous Galerkin finite element methods for the Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1414.65029">Zbl 1414.65029</a> </h3> <div class="source"> <a href="/serials/1843" title="Journal Profile">SIAM J. Sci. Comput.</a> <a href="/?q=in%3A429510" title="Articles in this Issue">41, No. 2, A1121-A1147 (2019)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N50" title="Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs">65N50</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1414.65029" data-ciurl="/ci/07047691" data-biburl="/bibtex/07047691.bib" data-amsurl="/amsrefs/07047691.bib" data-xmlurl="/xml/07047691.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07047691.pdf" title="Zbl 1414.65029 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/18M1207909" aria-label="DOI for “Robust adaptive $hp$ discontinuous Galerkin finite element methods for the Helmholtz equation”" title="10.1137/18M1207909">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1808.03567"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7865088" value="7865088" aria-label="mark item Zbl 1548.76104"></div> <div class="author"><a href="/authors/gaborit.m" title="Author Profile">Gaborit, M.</a>; <a href="/authors/dazel.olivier" title="Author Profile">Dazel, O.</a>; <a href="/authors/goransson.peter" title="Author Profile">Göransson, P.</a>; <a href="/authors/gabard.gwenael" title="Author Profile">Gabard, G.</a></div> <h3 class="title"> <a href="/1548.76104"><strong>Coupling of finite element and plane waves discontinuous Galerkin methods for time-harmonic problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1548.76104">Zbl 1548.76104</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A420360" title="Articles in this Issue">116, No. 7, 487-503 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1548.76104" data-ciurl="/ci/07865088" data-biburl="/bibtex/07865088.bib" data-amsurl="/amsrefs/07865088.bib" data-xmlurl="/xml/07865088.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07865088.pdf" title="Zbl 1548.76104 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/nme.5933" aria-label="DOI for “Coupling of finite element and plane waves discontinuous Galerkin methods for time-harmonic problems”" title="10.1002/nme.5933">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1801.04802"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7865037" value="7865037" aria-label="mark item Zbl 1548.65384"></div> <div class="author"><a href="/authors/peng.jie" title="Author Profile">Peng, Jie</a>; <a href="/authors/wang.junxian" title="Author Profile">Wang, Junxian</a>; <a href="/authors/shu.shi" title="Author Profile">Shu, Shi</a></div> <h3 class="title"> <a href="/1548.65384"><strong>Adaptive BDDC algorithms for the system arising from plane wave discretization of Helmholtz equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1548.65384">Zbl 1548.65384</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A423697" title="Articles in this Issue">116, No. 10-11, 683-707 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65F10" title="Iterative numerical methods for linear systems">65F10</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1548.65384" data-ciurl="/ci/07865037" data-biburl="/bibtex/07865037.bib" data-amsurl="/amsrefs/07865037.bib" data-xmlurl="/xml/07865037.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07865037.pdf" title="Zbl 1548.65384 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/nme.5939" aria-label="DOI for “Adaptive BDDC algorithms for the system arising from plane wave discretization of Helmholtz equations”" title="10.1002/nme.5939">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1801.08800"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7408329" value="7408329" aria-label="mark item Zbl 1488.65694"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a>; <a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a></div> <h3 class="title"> <a href="/1488.65694"><strong>The plane wave methods combined with local spectral finite elements for the wave propagation in anisotropic media.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1488.65694">Zbl 1488.65694</a> </h3> <div class="source"> <a href="/serials/6801" title="Journal Profile">Adv. Appl. Math. Mech.</a> <a href="/?q=in%3A470623" title="Articles in this Issue">10, No. 5, 1126-1157 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N35" title="Spectral, collocation and related methods for boundary value problems involving PDEs">65N35</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65K10" title="Numerical optimization and variational techniques">65K10</a> <a class="mono" href="/classification/?q=cc%3A78A40" title="Waves and radiation in optics and electromagnetic theory">78A40</a> <a class="mono" href="/classification/?q=cc%3A76R05" title="Forced convection">76R05</a> <a class="mono" href="/classification/?q=cc%3A78A45" title="Diffraction, scattering">78A45</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1488.65694" data-ciurl="/ci/07408329" data-biburl="/bibtex/07408329.bib" data-amsurl="/amsrefs/07408329.bib" data-xmlurl="/xml/07408329.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07408329.pdf" title="Zbl 1488.65694 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4208/aamm.OA-2017-0272" aria-label="DOI for “The plane wave methods combined with local spectral finite elements for the wave propagation in anisotropic media”" title="10.4208/aamm.OA-2017-0272">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7186863" value="7186863" aria-label="mark item Zbl 1440.74389"></div> <div class="author"><a href="/authors/dinachandra.moirangthem" title="Author Profile">Dinachandra, M.</a>; <a href="/authors/raju.sethuraman" title="Author Profile">Raju, Sethuraman</a></div> <h3 class="title"> <a href="/1440.74389"><strong>Plane wave enriched partition of unity isogeometric analysis (PUIGA) for 2D-Helmholtz problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1440.74389">Zbl 1440.74389</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A448301" title="Articles in this Issue">335, 380-402 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65D07" title="Numerical computation using splines">65D07</a> <a class="mono" href="/classification/?q=cc%3A74J20" title="Wave scattering in solid mechanics">74J20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1440.74389" data-ciurl="/ci/07186863" data-biburl="/bibtex/07186863.bib" data-amsurl="/amsrefs/07186863.bib" data-xmlurl="/xml/07186863.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07186863.pdf" title="Zbl 1440.74389 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2018.02.020" aria-label="DOI for “Plane wave enriched partition of unity isogeometric analysis (PUIGA) for 2D-Helmholtz problems”" title="10.1016/j.cma.2018.02.020">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7186104" value="7186104" aria-label="mark item Zbl 1439.76082"></div> <div class="author"><a href="/authors/li.hao.1" title="Author Profile">Li, Hao</a>; <a href="/authors/ladeveze.pierre" title="Author Profile">Ladevèze, Pierre</a>; <a href="/authors/riou.herve" title="Author Profile">Riou, Hervé</a></div> <h3 class="title"> <a href="/1439.76082"><strong>On wave based weak Trefftz discontinuous Galerkin approach for medium-frequency heterogeneous Helmholtz problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1439.76082">Zbl 1439.76082</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A448267" title="Articles in this Issue">328, 201-216 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1439.76082" data-ciurl="/ci/07186104" data-biburl="/bibtex/07186104.bib" data-amsurl="/amsrefs/07186104.bib" data-xmlurl="/xml/07186104.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07186104.pdf" title="Zbl 1439.76082 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2017.08.039" aria-label="DOI for “On wave based weak Trefftz discontinuous Galerkin approach for medium-frequency heterogeneous Helmholtz problem”" title="10.1016/j.cma.2017.08.039">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6967415" value="6967415" aria-label="mark item Zbl 1402.65180"></div> <div class="author"><a href="/authors/antunes.pedro-ricardo-simao" title="Author Profile">Antunes, Pedro R. S.</a></div> <h3 class="title"> <a href="/1402.65180"><strong>A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1402.65180">Zbl 1402.65180</a> </h3> <div class="source"> <a href="/serials/1417" title="Journal Profile">Numer. Algorithms</a> <a href="/?q=in%3A418418" title="Articles in this Issue">79, No. 3, 879-897 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N80" title="Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs">65N80</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65F35" title="Numerical computation of matrix norms, conditioning, scaling">65F35</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65F05" title="Direct numerical methods for linear systems and matrix inversion">65F05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1402.65180" data-ciurl="/ci/06967415" data-biburl="/bibtex/06967415.bib" data-amsurl="/amsrefs/06967415.bib" data-xmlurl="/xml/06967415.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06967415.pdf" title="Zbl 1402.65180 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11075-017-0465-z" aria-label="DOI for “A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation”" title="10.1007/s11075-017-0465-z">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6966996" value="6966996" aria-label="mark item Zbl 1401.65135"></div> <div class="author"><a href="/authors/morel.guillaume" title="Author Profile">Morel, Guillaume</a>; <a href="/authors/buet.christophe" title="Author Profile">Buet, Christophe</a>; <a href="/authors/despres.bruno" title="Author Profile">Despres, Bruno</a></div> <h3 class="title"> <a href="/1401.65135"><strong>Trefftz discontinuous Galerkin method for Friedrichs systems with linear relaxation: application to the $P_1$ model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1401.65135">Zbl 1401.65135</a> </h3> <div class="source"> <a href="/serials/2857" title="Journal Profile">Comput. Methods Appl. Math.</a> <a href="/?q=in%3A418391" title="Articles in this Issue">18, No. 3, 521-557 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35Q70" title="PDEs in connection with mechanics of particles and systems of particles">35Q70</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1401.65135" data-ciurl="/ci/06966996" data-biburl="/bibtex/06966996.bib" data-amsurl="/amsrefs/06966996.bib" data-xmlurl="/xml/06966996.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06966996.pdf" title="Zbl 1401.65135 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/cmam-2018-0006" aria-label="DOI for “Trefftz discontinuous Galerkin method for Friedrichs systems with linear relaxation: application to the $P_1$ model”" title="10.1515/cmam-2018-0006">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-01625659" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6911540" value="6911540" aria-label="mark item Zbl 1398.65312"></div> <div class="author"><a href="/authors/zeng.wei" title="Author Profile">Zeng, W.</a>; <a href="/authors/liu.gui-rong" title="Author Profile">Liu, G. R.</a></div> <h3 class="title"> <a href="/1398.65312"><strong>Smoothed finite element methods (S-FEM): an overview and recent developments.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1398.65312">Zbl 1398.65312</a> </h3> <div class="source"> <a href="/serials/2822" title="Journal Profile">Arch. Comput. Methods Eng.</a> <a href="/?q=in%3A378430" title="Articles in this Issue">25, No. 2, 397-435 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1398.65312" data-ciurl="/ci/06911540" data-biburl="/bibtex/06911540.bib" data-amsurl="/amsrefs/06911540.bib" data-xmlurl="/xml/06911540.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06911540.pdf" title="Zbl 1398.65312 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11831-016-9202-3" aria-label="DOI for “Smoothed finite element methods (S-FEM): an overview and recent developments”" title="10.1007/s11831-016-9202-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6910422" value="6910422" aria-label="mark item Zbl 1394.65150"></div> <div class="author"><a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a>; <a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a></div> <h3 class="title"> <a href="/1394.65150"><strong>Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1394.65150">Zbl 1394.65150</a> </h3> <div class="source"> <a href="/serials/482" title="Journal Profile">J. Comput. Appl. Math.</a> <a href="/?q=in%3A410717" title="Articles in this Issue">344, 323-345 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1394.65150" data-ciurl="/ci/06910422" data-biburl="/bibtex/06910422.bib" data-amsurl="/amsrefs/06910422.bib" data-xmlurl="/xml/06910422.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06910422.pdf" title="Zbl 1394.65150 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cam.2018.05.024" aria-label="DOI for “Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers”" title="10.1016/j.cam.2018.05.024">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6838731" value="6838731" aria-label="mark item Zbl 1383.78047"></div> <div class="author"><a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a>; <a href="/authors/yuan.long" title="Author Profile">Yuan, Long</a></div> <h3 class="title"> <a href="/1383.78047"><strong>A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1383.78047">Zbl 1383.78047</a> </h3> <div class="source"> <a href="/serials/2087" title="Journal Profile">Adv. Comput. Math.</a> <a href="/?q=in%3A373931" title="Articles in this Issue">44, No. 1, 245-275 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A78M22" title="Spectral, collocation and related methods applied to problems in optics and electromagnetic theory">78M22</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> <a class="mono" href="/classification/?q=cc%3A78A40" title="Waves and radiation in optics and electromagnetic theory">78A40</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A78M30" title="Variational methods applied to problems in optics and electromagnetic theory">78M30</a> <a class="mono" href="/classification/?q=cc%3A78A25" title="Electromagnetic theory (general)">78A25</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1383.78047" data-ciurl="/ci/06838731" data-biburl="/bibtex/06838731.bib" data-amsurl="/amsrefs/06838731.bib" data-xmlurl="/xml/06838731.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06838731.pdf" title="Zbl 1383.78047 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10444-017-9542-z" aria-label="DOI for “A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations”" title="10.1007/s10444-017-9542-z">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6837523" value="6837523" aria-label="mark item Zbl 1421.65026"></div> <div class="author"><a href="/authors/moiola.andrea" title="Author Profile">Moiola, Andrea</a>; <a href="/authors/perugia.ilaria" title="Author Profile">Perugia, Ilaria</a></div> <h3 class="title"> <a href="/1421.65026"><strong>A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1421.65026">Zbl 1421.65026</a> </h3> <div class="source"> <a href="/serials/610" title="Journal Profile">Numer. Math.</a> <a href="/?q=in%3A373743" title="Articles in this Issue">138, No. 2, 389-435 (2018)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A16674">Konstantinos Chrysafinos (Athens)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> <a class="mono" href="/classification/?q=cc%3A41A10" title="Approximation by polynomials">41A10</a> <a class="mono" href="/classification/?q=cc%3A41A25" title="Rate of convergence, degree of approximation">41A25</a> <a class="mono" href="/classification/?q=cc%3A35L05" title="Wave equation">35L05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1421.65026" data-ciurl="/ci/06837523" data-biburl="/bibtex/06837523.bib" data-amsurl="/amsrefs/06837523.bib" data-xmlurl="/xml/06837523.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06837523.pdf" title="Zbl 1421.65026 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00211-017-0910-x" aria-label="DOI for “A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation”" title="10.1007/s00211-017-0910-x">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1610.08002"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6836273" value="6836273" aria-label="mark item Zbl 1380.65157"></div> <div class="author"><a href="/authors/gosse.laurent" title="Author Profile">Gosse, Laurent</a></div> <h3 class="title"> <a href="/1380.65157"><strong>$\mathcal L$-splines and viscosity limits for well-balanced schemes acting on linear parabolic equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1380.65157">Zbl 1380.65157</a> </h3> <div class="source"> <a href="/serials/965" title="Journal Profile">Acta Appl. Math.</a> <a href="/?q=in%3A373384" title="Articles in this Issue">153, No. 1, 101-124 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M06" title="Finite difference methods for initial value and initial-boundary value problems involving PDEs">65M06</a> <a class="mono" href="/classification/?q=cc%3A65D07" title="Numerical computation using splines">65D07</a> <a class="mono" href="/classification/?q=cc%3A35K57" title="Reaction-diffusion equations">35K57</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1380.65157" data-ciurl="/ci/06836273" data-biburl="/bibtex/06836273.bib" data-amsurl="/amsrefs/06836273.bib" data-xmlurl="/xml/06836273.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06836273.pdf" title="Zbl 1380.65157 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10440-017-0122-5" aria-label="DOI for “$\mathcal L$-splines and viscosity limits for well-balanced schemes acting on linear parabolic equations”" title="10.1007/s10440-017-0122-5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6770526" value="6770526" aria-label="mark item Zbl 1372.65309"></div> <div class="author"><a href="/authors/kapita.shelvean" title="Author Profile">Kapita, Shelvean</a>; <a href="/authors/monk.peter-b" title="Author Profile">Monk, Peter</a></div> <h3 class="title"> <a href="/1372.65309"><strong>A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1372.65309">Zbl 1372.65309</a> </h3> <div class="source"> <a href="/serials/482" title="Journal Profile">J. Comput. Appl. Math.</a> <a href="/?q=in%3A369580" title="Articles in this Issue">327, 208-225 (2018)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1372.65309" data-ciurl="/ci/06770526" data-biburl="/bibtex/06770526.bib" data-amsurl="/amsrefs/06770526.bib" data-xmlurl="/xml/06770526.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06770526.pdf" title="Zbl 1372.65309 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cam.2017.06.011" aria-label="DOI for “A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics”" title="10.1016/j.cam.2017.06.011">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1611.07337"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7867120" value="7867120" aria-label="mark item Zbl 1548.65072"></div> <div class="author"><a href="/authors/hospital-bravo.raul" title="Author Profile">Hospital-Bravo, R.</a>; <a href="/authors/sarrate.josep" title="Author Profile">Sarrate, J.</a>; <a href="/authors/diez.pedro" title="Author Profile">Díez, P.</a></div> <h3 class="title"> <a href="/1548.65072"><strong>A semi-analytical scheme for highly oscillatory integrals over tetrahedra.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1548.65072">Zbl 1548.65072</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A368825" title="Articles in this Issue">111, No. 8, 703-723 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65D30" title="Numerical integration">65D30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1548.65072" data-ciurl="/ci/07867120" data-biburl="/bibtex/07867120.bib" data-amsurl="/amsrefs/07867120.bib" data-xmlurl="/xml/07867120.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07867120.pdf" title="Zbl 1548.65072 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/nme.5474" aria-label="DOI for “A semi-analytical scheme for highly oscillatory integrals over tetrahedra”" title="10.1002/nme.5474">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://www.scipedia.com/public/Hospital-Bravo_et_al_2017a" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7866623" value="7866623" aria-label="mark item Zbl 1548.65208"></div> <div class="author"><a href="/authors/iqbal.muhammad.2" title="Author Profile">Iqbal, Muhammad</a>; <a href="/authors/gimperlein.heiko" title="Author Profile">Gimperlein, Heiko</a>; <a href="/authors/mohamed.m-shadi" title="Author Profile">Mohamed, M. Shadi</a>; <a href="/authors/laghrouche.omar" title="Author Profile">Laghrouche, Omar</a></div> <h3 class="title"> <a href="/1548.65208"><strong>An a posteriori error estimate for the generalized finite element method for transient heat diffusion problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1548.65208">Zbl 1548.65208</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A366781" title="Articles in this Issue">110, No. 12, 1103-1118 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> <a class="mono" href="/classification/?q=cc%3A65M50" title="Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs">65M50</a> <a class="mono" href="/classification/?q=cc%3A80M10" title="Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer">80M10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1548.65208" data-ciurl="/ci/07866623" data-biburl="/bibtex/07866623.bib" data-amsurl="/amsrefs/07866623.bib" data-xmlurl="/xml/07866623.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07866623.pdf" title="Zbl 1548.65208 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/nme.5440" aria-label="DOI for “An a posteriori error estimate for the generalized finite element method for transient heat diffusion problems”" title="10.1002/nme.5440">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7213188" value="7213188" aria-label="mark item Zbl 1524.76393"></div> <div class="author"><a href="/authors/luan.tian" title="Author Profile">Luan, Tian</a>; <a href="/authors/sun.yao" title="Author Profile">Sun, Yao</a></div> <h3 class="title"> <a href="/1524.76393"><strong>The numerical solution of the acoustic wave scattering from penetrable obstacles by a least-squares method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1524.76393">Zbl 1524.76393</a> </h3> <div class="source"> <a href="/serials/218" title="Journal Profile">Wave Motion</a> <a href="/?q=in%3A450123" title="Articles in this Issue">74, 18-34 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A76Q05" title="Hydro- and aero-acoustics">76Q05</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1524.76393" data-ciurl="/ci/07213188" data-biburl="/bibtex/07213188.bib" data-amsurl="/amsrefs/07213188.bib" data-xmlurl="/xml/07213188.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07213188.pdf" title="Zbl 1524.76393 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.wavemoti.2017.06.002" aria-label="DOI for “The numerical solution of the acoustic wave scattering from penetrable obstacles by a least-squares method”" title="10.1016/j.wavemoti.2017.06.002">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7185830" value="7185830" aria-label="mark item Zbl 1439.65183"></div> <div class="author"><a href="/authors/lam.chi-yeung" title="Author Profile">Lam, Chi Yeung</a>; <a href="/authors/shu.chi-wang" title="Author Profile">Shu, Chi-Wang</a></div> <h3 class="title"> <a href="/1439.65183"><strong>A phase-based interior penalty discontinuous Galerkin method for the Helmholtz equation with spatially varying wavenumber.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1439.65183">Zbl 1439.65183</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A448257" title="Articles in this Issue">318, 456-473 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1439.65183" data-ciurl="/ci/07185830" data-biburl="/bibtex/07185830.bib" data-amsurl="/amsrefs/07185830.bib" data-xmlurl="/xml/07185830.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07185830.pdf" title="Zbl 1439.65183 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2017.01.032" aria-label="DOI for “A phase-based interior penalty discontinuous Galerkin method for the Helmholtz equation with spatially varying wavenumber”" title="10.1016/j.cma.2017.01.032">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7185791" value="7185791" aria-label="mark item Zbl 1439.78016"></div> <div class="author"><a href="/authors/banerjee.subhajit" title="Author Profile">Banerjee, Subhajit</a>; <a href="/authors/sukumar.natarajan" title="Author Profile">Sukumar, N.</a></div> <h3 class="title"> <a href="/1439.78016"><strong>Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1439.78016">Zbl 1439.78016</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A448256" title="Articles in this Issue">317, 619-648 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A78M10" title="Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory">78M10</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A74J20" title="Wave scattering in solid mechanics">74J20</a> <a class="mono" href="/classification/?q=cc%3A76Q05" title="Hydro- and aero-acoustics">76Q05</a> <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1439.78016" data-ciurl="/ci/07185791" data-biburl="/bibtex/07185791.bib" data-amsurl="/amsrefs/07185791.bib" data-xmlurl="/xml/07185791.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07185791.pdf" title="Zbl 1439.78016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2017.01.001" aria-label="DOI for “Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem”" title="10.1016/j.cma.2017.01.001">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7185455" value="7185455" aria-label="mark item Zbl 1439.65212"></div> <div class="author"><a href="/authors/fries.thomas-peter" title="Author Profile">Fries, T. P.</a>; <a href="/authors/omerovic.samir" title="Author Profile">Omerović, S.</a>; <a href="/authors/schollhammer.daniel" title="Author Profile">Schöllhammer, D.</a>; <a href="/authors/steidl.j" title="Author Profile">Steidl, J.</a></div> <h3 class="title"> <a href="/1439.65212"><strong>Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1439.65212">Zbl 1439.65212</a> </h3> <div class="source"> <a href="/serials/64" title="Journal Profile">Comput. Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A448244" title="Articles in this Issue">313, 759-784 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N50" title="Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs">65N50</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1439.65212" data-ciurl="/ci/07185455" data-biburl="/bibtex/07185455.bib" data-amsurl="/amsrefs/07185455.bib" data-xmlurl="/xml/07185455.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07185455.pdf" title="Zbl 1439.65212 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cma.2016.10.019" aria-label="DOI for “Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements”" title="10.1016/j.cma.2016.10.019">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1706.00578"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7166311" value="7166311" aria-label="mark item Zbl 1480.65326"></div> <div class="author"><a href="/authors/alvarez.amaury-c" title="Author Profile">Alvarez, Amaury C.</a>; <a href="/authors/garcia.galina-c" title="Author Profile">García, Galina C.</a>; <a href="/authors/sarkis.marcus-v" title="Author Profile">Sarkis, Marcus</a></div> <h3 class="title"> <a href="/1480.65326"><strong>The ultra weak variational formulation for the modified mild-slope equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1480.65326">Zbl 1480.65326</a> </h3> <div class="source"> <a href="/serials/1551" title="Journal Profile">Appl. Math. Modelling</a> <a href="/?q=in%3A446353" title="Articles in this Issue">52, 28-41 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A86A05" title="Hydrology, hydrography, oceanography">86A05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1480.65326" data-ciurl="/ci/07166311" data-biburl="/bibtex/07166311.bib" data-amsurl="/amsrefs/07166311.bib" data-xmlurl="/xml/07166311.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07166311.pdf" title="Zbl 1480.65326 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apm.2017.07.018" aria-label="DOI for “The ultra weak variational formulation for the modified mild-slope equation”" title="10.1016/j.apm.2017.07.018">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7163500" value="7163500" aria-label="mark item Zbl 1480.74158"></div> <div class="author"><a href="/authors/mahmood.m-s" title="Author Profile">Mahmood, M. S.</a>; <a href="/authors/laghrouche.omar" title="Author Profile">Laghrouche, O.</a>; <a href="/authors/trevelyan.jon" title="Author Profile">Trevelyan, Jon</a>; <a href="/authors/el-kacimi.abdellah" title="Author Profile">El Kacimi, A.</a></div> <h3 class="title"> <a href="/1480.74158"><strong>Implementation and computational aspects of a 3D elastic wave modelling by PUFEM.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1480.74158">Zbl 1480.74158</a> </h3> <div class="source"> <a href="/serials/1551" title="Journal Profile">Appl. Math. Modelling</a> <a href="/?q=in%3A445721" title="Articles in this Issue">49, 568-586 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A74J10" title="Bulk waves in solid mechanics">74J10</a> <a class="mono" href="/classification/?q=cc%3A74J20" title="Wave scattering in solid mechanics">74J20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1480.74158" data-ciurl="/ci/07163500" data-biburl="/bibtex/07163500.bib" data-amsurl="/amsrefs/07163500.bib" data-xmlurl="/xml/07163500.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07163500.pdf" title="Zbl 1480.74158 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apm.2017.05.013" aria-label="DOI for “Implementation and computational aspects of a 3D elastic wave modelling by PUFEM”" title="10.1016/j.apm.2017.05.013">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7096185" value="7096185" aria-label="mark item Zbl 1425.35016"></div> <div class="author"><a href="/authors/fang.jun" title="Author Profile">Fang, Jun</a>; <a href="/authors/qian.jianliang" title="Author Profile">Qian, Jianliang</a>; <a href="/authors/zepeda-nunez.leonardo" title="Author Profile">Zepeda-Núñez, Leonardo</a>; <a href="/authors/zhao.hongkai" title="Author Profile">Zhao, Hongkai</a></div> <h3 class="title"> <a href="/1425.35016"><strong>Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1425.35016">Zbl 1425.35016</a> </h3> <div class="source"> <a href="/serials/8474" title="Journal Profile">Res. Math. Sci.</a> <a href="/?q=in%3A362510" title="Articles in this Issue">4, Paper No. 9, 35 p. (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A35J25" title="Boundary value problems for second-order elliptic equations">35J25</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1425.35016" data-ciurl="/ci/07096185" data-biburl="/bibtex/07096185.bib" data-amsurl="/amsrefs/07096185.bib" data-xmlurl="/xml/07096185.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07096185.pdf" title="Zbl 1425.35016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1186/s40687-017-0098-9" aria-label="DOI for “Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations”" title="10.1186/s40687-017-0098-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1608.08871"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6829610" value="6829610" aria-label="mark item Zbl 1380.65360"></div> <div class="author"><a href="/authors/barucq.helene" title="Author Profile">Barucq, H.</a>; <a href="/authors/bendali.abderrahmane" title="Author Profile">Bendali, A.</a>; <a href="/authors/fares.mbarek" title="Author Profile">Fares, M.</a>; <a href="/authors/mattesi.vanessa" title="Author Profile">Mattesi, V.</a>; <a href="/authors/tordeux.sebastien" title="Author Profile">Tordeux, S.</a></div> <h3 class="title"> <a href="/1380.65360"><strong>A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1380.65360">Zbl 1380.65360</a> </h3> <div class="source"> <a href="/serials/127" title="Journal Profile">J. Comput. Phys.</a> <a href="/?q=in%3A373492" title="Articles in this Issue">330, 1069-1092 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35R05" title="PDEs with low regular coefficients and/or low regular data">35R05</a> <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1380.65360" data-ciurl="/ci/06829610" data-biburl="/bibtex/06829610.bib" data-amsurl="/amsrefs/06829610.bib" data-xmlurl="/xml/06829610.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06829610.pdf" title="Zbl 1380.65360 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jcp.2016.09.062" aria-label="DOI for “A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation”" title="10.1016/j.jcp.2016.09.062">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-01395861" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6805218" value="6805218" aria-label="mark item Zbl 1398.65179"></div> <div class="author"><a href="/authors/ervin.vincent-j" title="Author Profile">Ervin, Vincent J.</a>; <a href="/authors/fuhrer.thomas" title="Author Profile">Führer, Thomas</a>; <a href="/authors/heuer.norbert" title="Author Profile">Heuer, Norbert</a>; <a href="/authors/karkulik.michael" title="Author Profile">Karkulik, Michael</a></div> <h3 class="title"> <a href="/1398.65179"><strong>DPG method with optimal test functions for a fractional advection diffusion equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1398.65179">Zbl 1398.65179</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A369325" title="Articles in this Issue">72, No. 2, 568-585 (2017)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11449">Vu Hoang Linh (Hanoi)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65L10" title="Numerical solution of boundary value problems involving ordinary differential equations">65L10</a> <a class="mono" href="/classification/?q=cc%3A65L60" title="Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations">65L60</a> <a class="mono" href="/classification/?q=cc%3A65L70" title="Error bounds for numerical methods for ordinary differential equations">65L70</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1398.65179" data-ciurl="/ci/06805218" data-biburl="/bibtex/06805218.bib" data-amsurl="/amsrefs/06805218.bib" data-xmlurl="/xml/06805218.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06805218.pdf" title="Zbl 1398.65179 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10915-017-0369-z" aria-label="DOI for “DPG method with optimal test functions for a fractional advection diffusion equation”" title="10.1007/s10915-017-0369-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1507.06691"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6767759" value="6767759" aria-label="mark item Zbl 1372.65324"></div> <div class="author"><a href="/authors/hu.qiya" title="Author Profile">Hu, Qiya</a>; <a href="/authors/li.xuan" title="Author Profile">Li, Xuan</a></div> <h3 class="title"> <a href="/1372.65324"><strong>Novel multilevel preconditioners for the systems arising from plane wave discretization of Helmholtz equations with large wave numbers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1372.65324">Zbl 1372.65324</a> </h3> <div class="source"> <a href="/serials/1843" title="Journal Profile">SIAM J. Sci. Comput.</a> <a href="/?q=in%3A367455" title="Articles in this Issue">39, No. 4, A1675-A1709 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N55" title="Multigrid methods; domain decomposition for boundary value problems involving PDEs">65N55</a> <a class="mono" href="/classification/?q=cc%3A65F08" title="Preconditioners for iterative methods">65F08</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1372.65324" data-ciurl="/ci/06767759" data-biburl="/bibtex/06767759.bib" data-amsurl="/amsrefs/06767759.bib" data-xmlurl="/xml/06767759.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06767759.pdf" title="Zbl 1372.65324 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/15M1022963" aria-label="DOI for “Novel multilevel preconditioners for the systems arising from plane wave discretization of Helmholtz equations with large wave numbers”" title="10.1137/15M1022963">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1607.04722"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6767731" value="6767731" aria-label="mark item Zbl 1398.74043"></div> <div class="author"><a href="/authors/li.hao.1" title="Author Profile">Li, Hao</a>; <a href="/authors/ladeveze.pierre" title="Author Profile">Ladeveze, Pierre</a>; <a href="/authors/riou.herve" title="Author Profile">Riou, Hervé</a></div> <h3 class="title"> <a href="/1398.74043"><strong>Extended variational theory of complex rays in heterogeneous Helmholtz problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1398.74043">Zbl 1398.74043</a> </h3> <div class="source"> <a href="/serials/1179" title="Journal Profile">Comput. Mech.</a> <a href="/?q=in%3A367167" title="Articles in this Issue">59, No. 6, 909-918 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A74E05" title="Inhomogeneity in solid mechanics">74E05</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A74H45" title="Vibrations in dynamical problems in solid mechanics">74H45</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1398.74043" data-ciurl="/ci/06767731" data-biburl="/bibtex/06767731.bib" data-amsurl="/amsrefs/06767731.bib" data-xmlurl="/xml/06767731.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06767731.pdf" title="Zbl 1398.74043 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00466-017-1385-4" aria-label="DOI for “Extended variational theory of complex rays in heterogeneous Helmholtz problem”" title="10.1007/s00466-017-1385-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-01647645" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6747688" value="6747688" aria-label="mark item Zbl 1367.65128"></div> <div class="author"><a href="/authors/gosse.laurent" title="Author Profile">Gosse, Laurent</a></div> <h3 class="title"> <a href="/1367.65128"><strong>Viscous equations treated with $\mathcal{L}$-splines and Steklov-Poincaré operator in two dimensions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1367.65128">Zbl 1367.65128</a> </h3> <div class="source"> Gosse, Laurent (ed.) et al., Innovative algorithms and analysis. Based on the presentations at the workshop, Rome, Italy, May 17–20, 2016. Cham: Springer (ISBN 978-3-319-49261-2/hbk; 978-3-319-49262-9/ebook). Springer INdAM Series 16, 167-195 (2017). </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A65M06" title="Finite difference methods for initial value and initial-boundary value problems involving PDEs">65M06</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1367.65128" data-ciurl="/ci/06747688" data-biburl="/bibtex/06747688.bib" data-amsurl="/amsrefs/06747688.bib" data-xmlurl="/xml/06747688.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06747688.pdf" title="Zbl 1367.65128 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-319-49262-9_6" aria-label="DOI for “Viscous equations treated with $\mathcal{L}$-splines and Steklov-Poincaré operator in two dimensions”" title="10.1007/978-3-319-49262-9_6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6740201" value="6740201" aria-label="mark item Zbl 1365.35018"></div> <div class="author"><a href="/authors/zou.zilong" title="Author Profile">Zou, Zilong</a>; <a href="/authors/aquino.wilkins" title="Author Profile">Aquino, Wilkins</a>; <a href="/authors/harari.isaac" title="Author Profile">Harari, Isaac</a></div> <h3 class="title"> <a href="/1365.35018"><strong>Nitsche’s method for Helmholtz problems with embedded interfaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1365.35018">Zbl 1365.35018</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A365483" title="Articles in this Issue">110, No. 7, 618-636 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A35A25" title="Other special methods applied to PDEs">35A25</a> <a class="mono" href="/classification/?q=cc%3A35B40" title="Asymptotic behavior of solutions to PDEs">35B40</a> <a class="mono" href="/classification/?q=cc%3A35B30" title="Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs">35B30</a> <a class="mono" href="/classification/?q=cc%3A65L60" title="Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations">65L60</a> <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1365.35018" data-ciurl="/ci/06740201" data-biburl="/bibtex/06740201.bib" data-amsurl="/amsrefs/06740201.bib" data-xmlurl="/xml/06740201.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06740201.pdf" title="Zbl 1365.35018 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/nme.5369" aria-label="DOI for “Nitsche's method for Helmholtz problems with embedded interfaces”" title="10.1002/nme.5369">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://europepmc.org/articles/pmc5509378" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6705755" value="6705755" aria-label="mark item Zbl 1364.65268"></div> <div class="author"><a href="/authors/heuer.norbert" title="Author Profile">Heuer, Norbert</a>; <a href="/authors/karkulik.michael" title="Author Profile">Karkulik, Michael</a></div> <h3 class="title"> <a href="/1364.65268"><strong>Discontinuous Petrov-Galerkin boundary elements.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1364.65268">Zbl 1364.65268</a> </h3> <div class="source"> <a href="/serials/610" title="Journal Profile">Numer. Math.</a> <a href="/?q=in%3A364363" title="Articles in this Issue">135, No. 4, 1011-1043 (2017)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A13207">Andreas Kleefeld (Jülich)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1364.65268" data-ciurl="/ci/06705755" data-biburl="/bibtex/06705755.bib" data-amsurl="/amsrefs/06705755.bib" data-xmlurl="/xml/06705755.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06705755.pdf" title="Zbl 1364.65268 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00211-016-0824-z" aria-label="DOI for “Discontinuous Petrov-Galerkin boundary elements”" title="10.1007/s00211-016-0824-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1408.5374"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6673898" value="6673898" aria-label="mark item Zbl 1355.65130"></div> <div class="author"><a href="/authors/banjai.lehel" title="Author Profile">Banjai, Lehel</a>; <a href="/authors/georgoulis.emmanuil-h" title="Author Profile">Georgoulis, Emmanuil H.</a>; <a href="/authors/lijoka.oluwaseun-f" title="Author Profile">Lijoka, Oluwaseun</a></div> <h3 class="title"> <a href="/1355.65130"><strong>A Trefftz polynomial space-time discontinuous Galerkin method for the second order wave equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1355.65130">Zbl 1355.65130</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A362258" title="Articles in this Issue">55, No. 1, 63-86 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A35L05" title="Wave equation">35L05</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1355.65130" data-ciurl="/ci/06673898" data-biburl="/bibtex/06673898.bib" data-amsurl="/amsrefs/06673898.bib" data-xmlurl="/xml/06673898.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06673898.pdf" title="Zbl 1355.65130 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/16M1065744" aria-label="DOI for “A Trefftz polynomial space-time discontinuous Galerkin method for the second order wave equation”" title="10.1137/16M1065744">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1610.01878"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://figshare.com/articles/journal_contribution/A_Trefftz_polynomial_space-time_discontinuous_Galerkin_method_for_the_second_order_wave_equation/10204409" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6626239" value="6626239" aria-label="mark item Zbl 1347.65174"></div> <div class="author"><a href="/authors/chen.huangxin" title="Author Profile">Chen, Huangxin</a>; <a href="/authors/qiu.weifeng" title="Author Profile">Qiu, Weifeng</a></div> <h3 class="title"> <a href="/1347.65174"><strong>A first order system least squares method for the Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1347.65174">Zbl 1347.65174</a> </h3> <div class="source"> <a href="/serials/482" title="Journal Profile">J. Comput. Appl. Math.</a> <a href="/?q=in%3A358765" title="Articles in this Issue">309, 145-162 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65L12" title="Finite difference and finite volume methods for ordinary differential equations">65L12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1347.65174" data-ciurl="/ci/06626239" data-biburl="/bibtex/06626239.bib" data-amsurl="/amsrefs/06626239.bib" data-xmlurl="/xml/06626239.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06626239.pdf" title="Zbl 1347.65174 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cam.2016.06.019" aria-label="DOI for “A first order system least squares method for the Helmholtz equation”" title="10.1016/j.cam.2016.06.019">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1409.3362"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7313636" value="7313636" aria-label="mark item Zbl 1540.74060"></div> <div class="author"><a href="/authors/riou.herve" title="Author Profile">Riou, Hervé</a></div> <h3 class="title"> <a href="/1540.74060"><strong>On some results about the variational theory of complex rays used close to the high frequency regime.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1540.74060">Zbl 1540.74060</a> </h3> <div class="source"> <a href="/serials/556" title="Journal Profile">Math. Comput. Simul.</a> <a href="/?q=in%3A459022" title="Articles in this Issue">124, 30-43 (2016)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A74H45" title="Vibrations in dynamical problems in solid mechanics">74H45</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1540.74060" data-ciurl="/ci/07313636" data-biburl="/bibtex/07313636.bib" data-amsurl="/amsrefs/07313636.bib" data-xmlurl="/xml/07313636.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07313636.pdf" title="Zbl 1540.74060 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.matcom.2016.01.002" aria-label="DOI for “On some results about the variational theory of complex rays used close to the high frequency regime”" title="10.1016/j.matcom.2016.01.002">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7072716" value="7072716" aria-label="mark item Zbl 1415.65257"></div> <div class="author"><a href="/authors/he.zhicheng" title="Author Profile">He, Z. C.</a>; <a href="/authors/li.eric" title="Author Profile">Li, Eric</a>; <a href="/authors/liu.gui-rong" title="Author Profile">Liu, G. R.</a>; <a href="/authors/li.guangyao" title="Author Profile">Li, G. Y.</a>; <a href="/authors/cheng.ai-guo" title="Author Profile">Cheng, A. G.</a></div> <h3 class="title"> <a href="/1415.65257"><strong>A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1415.65257">Zbl 1415.65257</a> </h3> <div class="source"> <a href="/serials/127" title="Journal Profile">J. Comput. Phys.</a> <a href="/?q=in%3A434676" title="Articles in this Issue">323, 149-170 (2016)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A76Q05" title="Hydro- and aero-acoustics">76Q05</a> <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1415.65257" data-ciurl="/ci/07072716" data-biburl="/bibtex/07072716.bib" data-amsurl="/amsrefs/07072716.bib" data-xmlurl="/xml/07072716.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07072716.pdf" title="Zbl 1415.65257 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jcp.2016.07.025" aria-label="DOI for “A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh”" title="10.1016/j.jcp.2016.07.025">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6915208" value="6915208" aria-label="mark item Zbl 1403.78007"></div> <div class="author"><a href="/authors/luan.tian" title="Author Profile">Luan, Tian</a>; <a href="/authors/sun.yao" title="Author Profile">Sun, Yao</a></div> <h3 class="title"> <a href="/1403.78007"><strong>Solving a scattering problem in near field optics by a least-squares method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1403.78007">Zbl 1403.78007</a> </h3> <div class="source"> <a href="/serials/2132" title="Journal Profile">Eng. Anal. Bound. Elem.</a> <a href="/?q=in%3A411432" title="Articles in this Issue">65, 101-111 (2016)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A78A45" title="Diffraction, scattering">78A45</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1403.78007" data-ciurl="/ci/06915208" data-biburl="/bibtex/06915208.bib" data-amsurl="/amsrefs/06915208.bib" data-xmlurl="/xml/06915208.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06915208.pdf" title="Zbl 1403.78007 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.enganabound.2016.01.006" aria-label="DOI for “Solving a scattering problem in near field optics by a least-squares method”" title="10.1016/j.enganabound.2016.01.006">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6759225" value="6759225" aria-label="mark item Zbl 1368.78135"></div> <div class="author"><a href="/authors/feng.xiaobing" title="Author Profile">Feng, Xiaobing</a>; <a href="/authors/lorton.cody" title="Author Profile">Lorton, Cody</a></div> <h3 class="title"> <a href="/1368.78135"><strong>An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1368.78135">Zbl 1368.78135</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A360161" title="Articles in this Issue">69, No. 2, 841-865 (2016)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A78M10" title="Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory">78M10</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A78A40" title="Waves and radiation in optics and electromagnetic theory">78A40</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1368.78135" data-ciurl="/ci/06759225" data-biburl="/bibtex/06759225.bib" data-amsurl="/amsrefs/06759225.bib" data-xmlurl="/xml/06759225.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06759225.pdf" title="Zbl 1368.78135 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10915-016-0219-4" aria-label="DOI for “An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency”" title="10.1007/s10915-016-0219-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1501.05340"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6712961" value="6712961" aria-label="mark item Zbl 1360.74138"></div> <div class="author"><a href="/authors/li.hao.1" title="Author Profile">Li, Hao</a>; <a href="/authors/ladeveze.pierre" title="Author Profile">Ladevèze, Pierre</a>; <a href="/authors/riou.herve" title="Author Profile">Riou, Hervé</a></div> <h3 class="title"> <a href="/1360.74138"><strong>Hybrid finite element method and variational theory of complex rays for Helmholtz problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1360.74138">Zbl 1360.74138</a> </h3> <div class="source"> <a href="/serials/3199" title="Journal Profile">J. Comput. Acoust.</a> <a href="/?q=in%3A362657" title="Articles in this Issue">24, No. 4, Article ID 1650015, 13 p. (2016)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> <a class="mono" href="/classification/?q=cc%3A74H45" title="Vibrations in dynamical problems in solid mechanics">74H45</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1360.74138" data-ciurl="/ci/06712961" data-biburl="/bibtex/06712961.bib" data-amsurl="/amsrefs/06712961.bib" data-xmlurl="/xml/06712961.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06712961.pdf" title="Zbl 1360.74138 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218396X16500156" aria-label="DOI for “Hybrid finite element method and variational theory of complex rays for Helmholtz problems”" title="10.1142/S0218396X16500156">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-01647653" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6683753" value="6683753" aria-label="mark item Zbl 1357.65265"></div> <div class="author"><a href="/authors/peterseim.daniel" title="Author Profile">Peterseim, Daniel</a></div> <h3 class="title"> <a href="/1357.65265"><strong>Variational multiscale stabilization and the exponential decay of fine-scale correctors.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1357.65265">Zbl 1357.65265</a> </h3> <div class="source"> Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 343-369 (2016). </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A35J25" title="Boundary value problems for second-order elliptic equations">35J25</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1357.65265" data-ciurl="/ci/06683753" data-biburl="/bibtex/06683753.bib" data-amsurl="/amsrefs/06683753.bib" data-xmlurl="/xml/06683753.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06683753.pdf" title="Zbl 1357.65265 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-319-41640-3_11" aria-label="DOI for “Variational multiscale stabilization and the exponential decay of fine-scale correctors”" title="10.1007/978-3-319-41640-3_11">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1505.07611"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://opus.bibliothek.uni-augsburg.de/opus4/files/43908/43908.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6683750" value="6683750" aria-label="mark item Zbl 1357.65282"></div> <div class="author"><a href="/authors/hiptmair.ralf" title="Author Profile">Hiptmair, Ralf</a>; <a href="/authors/moiola.andrea" title="Author Profile">Moiola, Andrea</a>; <a href="/authors/perugia.ilaria" title="Author Profile">Perugia, Ilaria</a></div> <h3 class="title"> <a href="/1357.65282"><strong>A survey of Trefftz methods for the Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1357.65282">Zbl 1357.65282</a> </h3> <div class="source"> Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 237-279 (2016); erratum ibid. 114, E1 (2016). </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N80" title="Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs">65N80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1357.65282" data-ciurl="/ci/06683750" data-biburl="/bibtex/06683750.bib" data-amsurl="/amsrefs/06683750.bib" data-xmlurl="/xml/06683750.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06683750.pdf" title="Zbl 1357.65282 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-319-41640-3_8" aria-label="DOI for “A survey of Trefftz methods for the Helmholtz equation”" title="10.1007/978-3-319-41640-3_8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6669833" value="6669833" aria-label="mark item Zbl 1352.65522"></div> <div class="author"><a href="/authors/kovalevsky.louis" title="Author Profile">Kovalevsky, Louis</a>; <a href="/authors/gosselet.pierre" title="Author Profile">Gosselet, Pierre</a></div> <h3 class="title"> <a href="/1352.65522"><strong>A quasi-optimal coarse problem and an augmented Krylov solver for the variational theory of complex rays.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1352.65522">Zbl 1352.65522</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A358556" title="Articles in this Issue">107, No. 11, 903-922 (2016)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N22" title="Numerical solution of discretized equations for boundary value problems involving PDEs">65N22</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1352.65522" data-ciurl="/ci/06669833" data-biburl="/bibtex/06669833.bib" data-amsurl="/amsrefs/06669833.bib" data-xmlurl="/xml/06669833.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06669833.pdf" title="Zbl 1352.65522 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/nme.5190" aria-label="DOI for “A quasi-optimal coarse problem and an augmented Krylov solver for the variational theory of complex rays”" title="10.1002/nme.5190">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1601.06192"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-01257807" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6669757" value="6669757" aria-label="mark item Zbl 1352.76042"></div> <div class="author"><a href="/authors/beriot.hadrien" title="Author Profile">Bériot, Hadrien</a>; <a href="/authors/prinn.albert" title="Author Profile">Prinn, Albert</a>; <a href="/authors/gabard.gwenael" title="Author Profile">Gabard, Gwénaël</a></div> <h3 class="title"> <a href="/1352.76042"><strong>Efficient implementation of high-order finite elements for Helmholtz problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1352.76042">Zbl 1352.76042</a> </h3> <div class="source"> <a href="/serials/462" title="Journal Profile">Int. J. Numer. Methods Eng.</a> <a href="/?q=in%3A354528" title="Articles in this Issue">106, No. 3, 213-240 (2016)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A76Q05" title="Hydro- and aero-acoustics">76Q05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label 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