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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" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div 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form-control" type="text" name="q" value="rf:942637" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span> </span>zbmath id</a></li> <li><a href="#"><span class="token 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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Math. Anal.</a> <a href="/?q=in%3A503161" title="Articles in this Issue">55, No. 5, 5445-5463 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35P05" title="General topics in linear spectral theory for PDEs">35P05</a> <a class="mono" href="/classification/?q=cc%3A35P15" title="Estimates of eigenvalues in context of PDEs">35P15</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%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A78M35" title="Asymptotic analysis in optics and electromagnetic theory">78M35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1527.35190" data-ciurl="/ci/07757947" data-biburl="/bibtex/07757947.bib" data-amsurl="/amsrefs/07757947.bib" data-xmlurl="/xml/07757947.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07757947.pdf" title="Zbl 1527.35190 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/10.1137/22M1509266" aria-label="DOI for “On the existence and stability of modified Maxwell Steklov eigenvalues”" title="10.1137/22M1509266">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2207.06498"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="item7698866" value="7698866" aria-label="mark item Zbl 1520.65078"></div> <div class="author"><a href="/authors/ma.yunyun" title="Author Profile">Ma, Yunyun</a>; <a href="/authors/sun.jiguang" title="Author Profile">Sun, Jiguang</a></div> <h3 class="title"> <a href="/1520.65078"><strong>Analysis of a Fourier-Galerkin method for the transmission eigenvalue problem based on a boundary integral formulation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1520.65078">Zbl 1520.65078</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A498223" title="Articles in this Issue">95, No. 2, Paper No. 60, 19 p. (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35R09" title="Integro-partial differential equations">35R09</a> <a class="mono" href="/classification/?q=cc%3A45B05" title="Fredholm integral equations">45B05</a> <a class="mono" href="/classification/?q=cc%3A35P30" title="Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs">35P30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1520.65078" data-ciurl="/ci/07698866" data-biburl="/bibtex/07698866.bib" data-amsurl="/amsrefs/07698866.bib" data-xmlurl="/xml/07698866.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07698866.pdf" title="Zbl 1520.65078 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/s10915-023-02197-3" aria-label="DOI for “Analysis of a Fourier-Galerkin method for the transmission eigenvalue problem based on a boundary integral formulation”" title="10.1007/s10915-023-02197-3">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="item7693750" value="7693750" aria-label="mark item Zbl 1512.65253"></div> <div class="author"><a href="/authors/gong.bo" title="Author Profile">Gong, Bo</a>; <a href="/authors/jiguang.sun" title="Author Profile">Jiguang, Sun</a></div> <h3 class="title"> <a href="/1512.65253"><strong>Regular convergence and finite element methods for eigenvalue problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1512.65253">Zbl 1512.65253</a> </h3> <div class="source"> <a href="/serials/2063" title="Journal Profile">ETNA, Electron. Trans. Numer. Anal.</a> <a href="/?q=in%3A490266" title="Articles in this Issue">58, 228-243 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1512.65253" data-ciurl="/ci/07693750" data-biburl="/bibtex/07693750.bib" data-amsurl="/amsrefs/07693750.bib" data-xmlurl="/xml/07693750.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07693750.pdf" title="Zbl 1512.65253 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/10.1553/etna_vol58s228" aria-label="DOI for “Regular convergence and finite element methods for eigenvalue problems”" title="10.1553/etna_vol58s228">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2206.00626"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://etna.mcs.kent.edu/volumes/2021-2030/vol58/abstract.php?vol=58&pages=228-243" 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="item7677221" value="7677221" aria-label="mark item Zbl 1512.35421"></div> <div class="author"><a href="/authors/xiao.wenqiang" title="Author Profile">Xiao, Wenqiang</a>; <a href="/authors/gong.bo" title="Author Profile">Gong, Bo</a>; <a href="/authors/lin.junshan" title="Author Profile">Lin, Junshan</a>; <a href="/authors/sun.jiguang" title="Author Profile">Sun, Jiguang</a></div> <h3 class="title"> <a href="/1512.35421"><strong>Band structure calculations of dispersive photonic crystals in 3D using holomorphic operator functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1512.35421">Zbl 1512.35421</a> </h3> <div class="source"> <a href="/serials/4971" title="Journal Profile">Commun. Comput. Phys.</a> <a href="/?q=in%3A495717" title="Articles in this Issue">33, No. 2, 628-646 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35P30" title="Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs">35P30</a> <a class="mono" href="/classification/?q=cc%3A35Q61" title="Maxwell equations">35Q61</a> <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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%3A78M10" title="Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory">78M10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1512.35421" data-ciurl="/ci/07677221" data-biburl="/bibtex/07677221.bib" data-amsurl="/amsrefs/07677221.bib" data-xmlurl="/xml/07677221.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07677221.pdf" title="Zbl 1512.35421 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-2022-0233" aria-label="DOI for “Band structure calculations of dispersive photonic crystals in 3D using holomorphic operator functions”" title="10.4208/cicp.OA-2022-0233">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="item7612197" value="7612197" aria-label="mark item Zbl 1497.65216"></div> <div class="author"><a href="/authors/meng.jian" title="Author Profile">Meng, Jian</a>; <a href="/authors/mei.liquan" title="Author Profile">Mei, Liquan</a></div> <h3 class="title"> <a href="/1497.65216"><strong>Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1497.65216">Zbl 1497.65216</a> </h3> <div class="source"> <a href="/serials/1416" title="Journal Profile">Math. Models Methods Appl. Sci.</a> <a href="/?q=in%3A489557" title="Articles in this Issue">32, No. 8, 1493-1529 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1497.65216" data-ciurl="/ci/07612197" data-biburl="/bibtex/07612197.bib" data-amsurl="/amsrefs/07612197.bib" data-xmlurl="/xml/07612197.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07612197.pdf" title="Zbl 1497.65216 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/S0218202522500348" aria-label="DOI for “Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media”" title="10.1142/S0218202522500348">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="item7610462" value="7610462" aria-label="mark item Zbl 07610462"></div> <div class="author"><a href="/authors/solovev.pavel-s" title="Author Profile">Solov’ev, Pavel S.</a>; <a href="/authors/korosteleva.diana-m" title="Author Profile">Korosteleva, Diana M.</a>; <a href="/authors/solovev.sergei-i" title="Author Profile">Solov’ev, Sergey I.</a></div> <h3 class="title"> <a href="/7610462"><strong>Approximation of positive semidefinite nonlinear eigenvalue problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7610462">Zbl 07610462</a> </h3> <div class="source"> Badriev, Ildar B. (ed.) et al., Mesh methods for boundary-value problems and applications. 13th international conference, Kazan, Russia, October 20–25, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 141, 475-491 (2022). </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> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07610462" data-ciurl="/ci/07610462" data-biburl="/bibtex/07610462.bib" data-amsurl="/amsrefs/07610462.bib" data-xmlurl="/xml/07610462.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07610462.pdf" title="Zbl 07610462 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/10.1007/978-3-030-87809-2_36" aria-label="DOI for “Approximation of positive semidefinite nonlinear eigenvalue problems”" title="10.1007/978-3-030-87809-2_36">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="item7610459" value="7610459" aria-label="mark item Zbl 07610459"></div> <div class="author"><a href="/authors/repina.anna-i" title="Author Profile">Repina, Anna I.</a>; <a href="/authors/oktyabrskaya.alina-o" title="Author Profile">Oktyabrskaya, Alina O.</a>; <a href="/authors/ketov.ilya-v" title="Author Profile">Ketov, Ilya V.</a>; <a href="/authors/karchevskii.evgenii" title="Author Profile">Karchevskii, Evgenii M.</a></div> <h3 class="title"> <a href="/7610459"><strong>Accurate simulation of on-threshold modes of microcavity lasers with active regions using Galerkin method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7610459">Zbl 07610459</a> </h3> <div class="source"> Badriev, Ildar B. (ed.) et al., Mesh methods for boundary-value problems and applications. 13th international conference, Kazan, Russia, October 20–25, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 141, 427-443 (2022). </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> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07610459" data-ciurl="/ci/07610459" data-biburl="/bibtex/07610459.bib" data-amsurl="/amsrefs/07610459.bib" data-xmlurl="/xml/07610459.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07610459.pdf" title="Zbl 07610459 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/10.1007/978-3-030-87809-2_33" aria-label="DOI for “Accurate simulation of on-threshold modes of microcavity lasers with active regions using Galerkin method”" title="10.1007/978-3-030-87809-2_33">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="item7587403" value="7587403" aria-label="mark item Zbl 1495.65204"></div> <div class="author"><a href="/authors/xi.yingxia" title="Author Profile">Xi, Yingxia</a>; <a href="/authors/ji.xia" title="Author Profile">Ji, Xia</a></div> <h3 class="title"> <a href="/1495.65204"><strong>A holomorphic operator function approach for the transmission eigenvalue problem of elastic waves.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1495.65204">Zbl 1495.65204</a> </h3> <div class="source"> <a href="/serials/4971" title="Journal Profile">Commun. Comput. Phys.</a> <a href="/?q=in%3A486849" title="Articles in this Issue">32, No. 2, 524-546 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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%3A47B07" title="Linear operators defined by compactness properties">47B07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1495.65204" data-ciurl="/ci/07587403" data-biburl="/bibtex/07587403.bib" data-amsurl="/amsrefs/07587403.bib" data-xmlurl="/xml/07587403.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07587403.pdf" title="Zbl 1495.65204 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-2022-0050" aria-label="DOI for “A holomorphic operator function approach for the transmission eigenvalue problem of elastic waves”" title="10.4208/cicp.OA-2022-0050">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="item7582807" value="7582807" aria-label="mark item Zbl 1496.35449"></div> <div class="author"><a href="/authors/gong.bo" title="Author Profile">Gong, Bo</a>; <a href="/authors/sun.jiguang" title="Author Profile">Sun, Jiguang</a>; <a href="/authors/turner.tiara" title="Author Profile">Turner, Tiara</a>; <a href="/authors/zheng.chunxiong" title="Author Profile">Zheng, Chunxiong</a></div> <h3 class="title"> <a href="/1496.35449"><strong>Finite element/holomorphic operator function method for the transmission eigenvalue problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1496.35449">Zbl 1496.35449</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, 2517-2537 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A35P25" title="Scattering theory for PDEs">35P25</a> <a class="mono" href="/classification/?q=cc%3A65N21" title="Numerical methods for inverse problems for boundary value problems involving PDEs">65N21</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%3A78A46" title="Inverse problems (including inverse scattering) in optics and electromagnetic theory">78A46</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1496.35449" data-ciurl="/ci/07582807" data-biburl="/bibtex/07582807.bib" data-amsurl="/amsrefs/07582807.bib" data-xmlurl="/xml/07582807.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07582807.pdf" title="Zbl 1496.35449 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/3767" aria-label="DOI for “Finite element/holomorphic operator function method for the transmission eigenvalue problem”" title="10.1090/mcom/3767">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="item7506433" value="7506433" aria-label="mark item Zbl 1493.65225"></div> <div class="author"><a href="/authors/nannen.lothar" title="Author Profile">Nannen, Lothar</a>; <a href="/authors/wess.markus" title="Author Profile">Wess, Markus</a></div> <h3 class="title"> <a href="/1493.65225"><strong>Complex-scaled infinite elements for resonance problems in heterogeneous open systems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1493.65225">Zbl 1493.65225</a> </h3> <div class="source"> <a href="/serials/2087" title="Journal Profile">Adv. Comput. Math.</a> <a href="/?q=in%3A480001" title="Articles in this Issue">48, No. 2, Paper No. 8, 35 p. (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%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A35B34" title="Resonance in context of PDEs">35B34</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1493.65225" data-ciurl="/ci/07506433" data-biburl="/bibtex/07506433.bib" data-amsurl="/amsrefs/07506433.bib" data-xmlurl="/xml/07506433.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07506433.pdf" title="Zbl 1493.65225 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/s10444-021-09923-1" aria-label="DOI for “Complex-scaled infinite elements for resonance problems in heterogeneous open systems”" title="10.1007/s10444-021-09923-1">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="item7503424" value="7503424" aria-label="mark item Zbl 1490.74110"></div> <div class="author"><a href="/authors/pang.xiangying" title="Author Profile">Pang, Xiangying</a>; <a href="/authors/sun.jiguang" title="Author Profile">Sun, Jiguang</a>; <a href="/authors/zhang.zhimin" title="Author Profile">Zhang, Zhimin</a></div> <h3 class="title"> <a href="/1490.74110"><strong>FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1490.74110">Zbl 1490.74110</a> </h3> <div class="source"> <a href="/serials/482" title="Journal Profile">J. Comput. Appl. Math.</a> <a href="/?q=in%3A479760" title="Articles in this Issue">410, Article ID 114156, 10 p. (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%3A74H45" title="Vibrations in dynamical problems in solid mechanics">74H45</a> <a class="mono" href="/classification/?q=cc%3A74K20" title="Plates">74K20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1490.74110" data-ciurl="/ci/07503424" data-biburl="/bibtex/07503424.bib" data-amsurl="/amsrefs/07503424.bib" data-xmlurl="/xml/07503424.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07503424.pdf" title="Zbl 1490.74110 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.2022.114156" aria-label="DOI for “FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses”" title="10.1016/j.cam.2022.114156">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2108.03681"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="item7477388" value="7477388" aria-label="mark item Zbl 1490.65257"></div> <div class="author"><a href="/authors/xi.yingxia" title="Author Profile">Xi, Yingxia</a>; <a href="/authors/ji.xia" title="Author Profile">Ji, Xia</a></div> <h3 class="title"> <a href="/1490.65257"><strong>A new method using \(C^0\)IPG for the biharmonic eigenvalue problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1490.65257">Zbl 1490.65257</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A477160" title="Articles in this Issue">90, No. 3, Paper No. 81, 18 p. (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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%3A47B07" title="Linear operators defined by compactness properties">47B07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1490.65257" data-ciurl="/ci/07477388" data-biburl="/bibtex/07477388.bib" data-amsurl="/amsrefs/07477388.bib" data-xmlurl="/xml/07477388.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07477388.pdf" title="Zbl 1490.65257 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/10.1007/s10915-022-01762-6" aria-label="DOI for “A new method using \(C^0\)IPG for the biharmonic eigenvalue problem”" title="10.1007/s10915-022-01762-6">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="item7447713" value="7447713" aria-label="mark item Zbl 1476.65323"></div> <div class="author"><a href="/authors/unger.gerhard" title="Author Profile">Unger, Gerhard</a></div> <h3 class="title"> <a href="/1476.65323"><strong>Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1476.65323">Zbl 1476.65323</a> </h3> <div class="source"> <a href="/serials/9777" title="Journal Profile">SN Partial Differ. Equ. Appl.</a> <a href="/?q=in%3A473246" title="Articles in this Issue">2, No. 3, Paper No. 39, 29 p. (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%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</a> <a class="mono" href="/classification/?q=cc%3A78M15" title="Boundary element methods applied to problems in optics and electromagnetic theory">78M15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1476.65323" data-ciurl="/ci/07447713" data-biburl="/bibtex/07447713.bib" data-amsurl="/amsrefs/07447713.bib" data-xmlurl="/xml/07447713.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07447713.pdf" title="Zbl 1476.65323 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/s42985-020-00049-5" aria-label="DOI for “Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems”" title="10.1007/s42985-020-00049-5">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="item7394283" value="7394283" aria-label="mark item Zbl 1473.35536"></div> <div class="author"><a href="/authors/kurz.stefan" title="Author Profile">Kurz, Stefan</a>; <a href="/authors/schops.sebastian" title="Author Profile">Schöps, Sebastian</a>; <a href="/authors/unger.gerhard" title="Author Profile">Unger, Gerhard</a>; <a href="/authors/wolf.felix-a" title="Author Profile">Wolf, Felix</a></div> <h3 class="title"> <a href="/1473.35536"><strong>Solving Maxwell’s eigenvalue problem via isogeometric boundary elements and a contour integral method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1473.35536">Zbl 1473.35536</a> </h3> <div class="source"> <a href="/serials/154" title="Journal Profile">Math. Methods Appl. Sci.</a> <a href="/?q=in%3A467256" title="Articles in this Issue">44, No. 13, 10790-10803 (2021)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q61" title="Maxwell equations">35Q61</a> <a class="mono" href="/classification/?q=cc%3A35P30" title="Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs">35P30</a> <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> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1473.35536" data-ciurl="/ci/07394283" data-biburl="/bibtex/07394283.bib" data-amsurl="/amsrefs/07394283.bib" data-xmlurl="/xml/07394283.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07394283.pdf" title="Zbl 1473.35536 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/mma.7447" aria-label="DOI for “Solving Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method”" title="10.1002/mma.7447">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2001.09686"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="item7383912" value="7383912" aria-label="mark item Zbl 1477.65215"></div> <div class="author"><a href="/authors/halla.martin" title="Author Profile">Halla, Martin</a></div> <h3 class="title"> <a href="/1477.65215"><strong>Analysis of radial complex scaling methods: scalar resonance problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1477.65215">Zbl 1477.65215</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A466623" title="Articles in this Issue">59, No. 4, 2054-2074 (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%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A35B34" title="Resonance in context of PDEs">35B34</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%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1477.65215" data-ciurl="/ci/07383912" data-biburl="/bibtex/07383912.bib" data-amsurl="/amsrefs/07383912.bib" data-xmlurl="/xml/07383912.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07383912.pdf" title="Zbl 1477.65215 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/10.1137/20M1354234" aria-label="DOI for “Analysis of radial complex scaling methods: scalar resonance problems”" title="10.1137/20M1354234">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2007.09636"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="item7381630" value="7381630" aria-label="mark item Zbl 1473.35164"></div> <div class="author"><a href="/authors/halla.martin" title="Author Profile">Halla, Martin</a></div> <h3 class="title"> <a href="/1473.35164"><strong>Electromagnetic Steklov eigenvalues: approximation analysis.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1473.35164">Zbl 1473.35164</a> </h3> <div class="source"> <a href="/serials/3314" title="Journal Profile">ESAIM, Math. Model. Numer. Anal.</a> <a href="/?q=in%3A467724" title="Articles in this Issue">55, No. 1, 57-76 (2021)</a>. </div><div class="classification"> MSC: <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%3A35P05" title="General topics in linear spectral theory for PDEs">35P05</a> <a class="mono" href="/classification/?q=cc%3A35R30" title="Inverse problems for PDEs">35R30</a> <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1473.35164" data-ciurl="/ci/07381630" data-biburl="/bibtex/07381630.bib" data-amsurl="/amsrefs/07381630.bib" data-xmlurl="/xml/07381630.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07381630.pdf" title="Zbl 1473.35164 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/2020075" aria-label="DOI for “Electromagnetic Steklov eigenvalues: approximation analysis”" title="10.1051/m2an/2020075">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1909.00689"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="item7368942" value="7368942" aria-label="mark item Zbl 07368942"></div> <div class="author"><a href="/authors/halla.martin" title="Author Profile">Halla, Martin</a></div> <h3 class="title"> <a href="/7368942"><strong>Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7368942">Zbl 07368942</a> </h3> <div class="source"> <a href="/serials/610" title="Journal Profile">Numer. Math.</a> <a href="/?q=in%3A466135" title="Articles in this Issue">148, No. 2, 387-407 (2021)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A47J10" title="Nonlinear spectral theory, nonlinear eigenvalue problems">47J10</a> <a class="mono" href="/classification/?q=cc%3A65H17" title="Numerical solution of nonlinear eigenvalue and eigenvector problems">65H17</a> <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07368942" data-ciurl="/ci/07368942" data-biburl="/bibtex/07368942.bib" data-amsurl="/amsrefs/07368942.bib" data-xmlurl="/xml/07368942.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07368942.pdf" title="Zbl 07368942 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/s00211-021-01205-8" aria-label="DOI for “Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility”" title="10.1007/s00211-021-01205-8">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1908.05029"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="item7329958" value="7329958" aria-label="mark item Zbl 1466.65207"></div> <div class="author"><a href="/authors/xiao.wenqiang" title="Author Profile">Xiao, Wenqiang</a>; <a href="/authors/gong.bo" title="Author Profile">Gong, Bo</a>; <a href="/authors/sun.jiguang" title="Author Profile">Sun, Jiguang</a>; <a href="/authors/zhang.zhimin" title="Author Profile">Zhang, Zhimin</a></div> <h3 class="title"> <a href="/1466.65207"><strong>Finite element calculation of photonic band structures for frequency dependent materials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1466.65207">Zbl 1466.65207</a> </h3> <div class="source"> <a href="/serials/1246" title="Journal Profile">J. Sci. Comput.</a> <a href="/?q=in%3A459407" title="Articles in this Issue">87, No. 1, Paper No. 27, 16 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%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</a> <a class="mono" href="/classification/?q=cc%3A65J15" title="Numerical solutions to equations with nonlinear operators">65J15</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%3A78A60" title="Lasers, masers, optical bistability, nonlinear optics">78A60</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%3A35P30" title="Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs">35P30</a> <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1466.65207" data-ciurl="/ci/07329958" data-biburl="/bibtex/07329958.bib" data-amsurl="/amsrefs/07329958.bib" data-xmlurl="/xml/07329958.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07329958.pdf" title="Zbl 1466.65207 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/s10915-021-01439-6" aria-label="DOI for “Finite element calculation of photonic band structures for frequency dependent materials”" title="10.1007/s10915-021-01439-6">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2007.11540"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="item7346626" value="7346626" aria-label="mark item Zbl 1464.35274"></div> <div class="author"><a href="/authors/?q=ai%3Aholzmann.markus%7Cholzmann.markus.1" title="Author Profile">Holzmann, Markus</a>; <a href="/authors/unger.gerhard" title="Author Profile">Unger, Gerhard</a></div> <h3 class="title"> <a href="/1464.35274"><strong>Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1464.35274">Zbl 1464.35274</a> </h3> <div class="source"> <a href="/serials/5005" title="Journal Profile">Oper. 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Appl. Math.</a> <a href="/?q=in%3A451106" title="Articles in this Issue">80, No. 4, 1977-1998 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</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%3A78A60" title="Lasers, masers, optical bistability, nonlinear optics">78A60</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1452.65318" data-ciurl="/ci/07252380" data-biburl="/bibtex/07252380.bib" data-amsurl="/amsrefs/07252380.bib" data-xmlurl="/xml/07252380.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07252380.pdf" title="Zbl 1452.65318 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/10.1137/19M1261882" aria-label="DOI for “Mathematical and numerical analysis of the generalized complex-frequency eigenvalue problem for two-dimensional optical microcavities”" title="10.1137/19M1261882">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="item7187417" value="7187417" aria-label="mark item Zbl 1464.65189"></div> <div class="author"><a href="/authors/xiao.wenqiang" title="Author Profile">Xiao, Wenqiang</a>; <a href="/authors/gong.bo" title="Author Profile">Gong, Bo</a>; <a href="/authors/sun.jiguang" title="Author Profile">Sun, Jiguang</a>; <a href="/authors/zhang.zhimin" title="Author Profile">Zhang, Zhimin</a></div> <h3 class="title"> <a href="/1464.65189"><strong>A new finite element approach for the Dirichlet eigenvalue problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1464.65189">Zbl 1464.65189</a> </h3> <div class="source"> <a href="/serials/1204" title="Journal Profile">Appl. Math. Lett.</a> <a href="/?q=in%3A448327" title="Articles in this Issue">105, Article ID 106295, 5 p. (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%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1464.65189" data-ciurl="/ci/07187417" data-biburl="/bibtex/07187417.bib" data-amsurl="/amsrefs/07187417.bib" data-xmlurl="/xml/07187417.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07187417.pdf" title="Zbl 1464.65189 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.aml.2020.106295" aria-label="DOI for “A new finite element approach for the Dirichlet eigenvalue problem”" title="10.1016/j.aml.2020.106295">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2001.05332"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="item7181380" value="7181380" aria-label="mark item Zbl 1432.78011"></div> <div class="author"><a href="/authors/spiridonov.alexander-o" title="Author Profile">Spiridonov, Alexander O.</a>; <a href="/authors/karchevskii.evgenii" title="Author Profile">Karchevskii, Evgenii M.</a>; <a href="/authors/nosich.alexander-i" title="Author Profile">Nosich, Alexander I.</a></div> <h3 class="title"> <a href="/1432.78011"><strong>Mathematical and numerical modeling of on-threshold modes of 2-D microcavity lasers with piercing holes.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1432.78011">Zbl 1432.78011</a> </h3> <div class="source"> <a href="/serials/7759" title="Journal Profile">Axioms</a> <a href="/?q=in%3A448077" title="Articles in this Issue">8, No. 3, Paper No. 101, 16 p. (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A78A60" title="Lasers, masers, optical bistability, nonlinear optics">78A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1432.78011" data-ciurl="/ci/07181380" data-biburl="/bibtex/07181380.bib" data-amsurl="/amsrefs/07181380.bib" data-xmlurl="/xml/07181380.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07181380.pdf" title="Zbl 1432.78011 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/10.3390/axioms8030101" aria-label="DOI for “Mathematical and numerical modeling of on-threshold modes of 2-D microcavity lasers with piercing holes”" title="10.3390/axioms8030101">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="item7003020" value="7003020" aria-label="mark item Zbl 1483.45003"></div> <div class="author"><a href="/authors/spiridonov.alexander-o" title="Author Profile">Spiridonov, A. O.</a>; <a href="/authors/karchevskii.evgenii" title="Author Profile">Karchevskii, E. M.</a>; <a href="/authors/nosich.alexander-i" title="Author Profile">Nosich, A. I.</a></div> <h3 class="title"> <a href="/1483.45003"><strong>Rigorous formulation of the lasing eigenvalue problem as a spectral problem for a Fredholm operator function.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1483.45003">Zbl 1483.45003</a> </h3> <div class="source"> <a href="/serials/2673" title="Journal Profile">Lobachevskii J. Math.</a> <a href="/?q=in%3A424917" title="Articles in this Issue">39, No. 8, 1148-1157 (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A45C05" title="Eigenvalue problems for integral equations">45C05</a> <a class="mono" href="/classification/?q=cc%3A45P05" title="Integral operators">45P05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1483.45003" data-ciurl="/ci/07003020" data-biburl="/bibtex/07003020.bib" data-amsurl="/amsrefs/07003020.bib" data-xmlurl="/xml/07003020.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07003020.pdf" title="Zbl 1483.45003 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/10.1134/S1995080218080127" aria-label="DOI for “Rigorous formulation of the lasing eigenvalue problem as a spectral problem for a Fredholm operator function”" title="10.1134/S1995080218080127">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="item6909860" value="6909860" aria-label="mark item Zbl 1391.78319"></div> <div class="author"><a href="/authors/halla.martin" title="Author Profile">Halla, Martin</a>; <a href="/authors/nannen.lothar" title="Author Profile">Nannen, Lothar</a></div> <h3 class="title"> <a href="/1391.78319"><strong>Two scale Hardy space infinite elements for scalar waveguide problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1391.78319">Zbl 1391.78319</a> </h3> <div class="source"> <a href="/serials/2087" title="Journal Profile">Adv. Comput. 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Comput. Appl. Math.</a> <a href="/?q=in%3A371644" title="Articles in this Issue">330, 177-192 (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</a> <a class="mono" href="/classification/?q=cc%3A35P30" title="Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs">35P30</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%3A78A45" title="Diffraction, scattering">78A45</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%3A35N30" title="Overdetermined initial-boundary value problems for PDEs and systems of PDEs">35N30</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> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1376.65142" data-ciurl="/ci/06802824" data-biburl="/bibtex/06802824.bib" data-amsurl="/amsrefs/06802824.bib" data-xmlurl="/xml/06802824.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06802824.pdf" title="Zbl 1376.65142 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.2017.08.012" aria-label="DOI for “Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map”" title="10.1016/j.cam.2017.08.012">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1606.09547"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="item6929637" value="6929637" aria-label="mark item Zbl 1398.65189"></div> <div class="author"><a href="/authors/araujo-cabarcas.juan-carlos" title="Author Profile">Araujo-Cabarcas, Juan Carlos</a>; <a href="/authors/engstrom.christian" title="Author Profile">Engström, Christian</a></div> <h3 class="title"> <a href="/1398.65189"><strong>On spurious solutions in finite element approximations of resonances in open systems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1398.65189">Zbl 1398.65189</a> </h3> <div class="source"> <a href="/serials/62" title="Journal Profile">Comput. Math. Appl.</a> <a href="/?q=in%3A413560" title="Articles in this Issue">74, No. 10, 2385-2402 (2017)</a>. </div><div class="classification"> MSC: <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%3A76Q05" title="Hydro- and aero-acoustics">76Q05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1398.65189" data-ciurl="/ci/06929637" data-biburl="/bibtex/06929637.bib" data-amsurl="/amsrefs/06929637.bib" data-xmlurl="/xml/06929637.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06929637.pdf" title="Zbl 1398.65189 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.2017.07.020" aria-label="DOI for “On spurious solutions in finite element approximations of resonances in open systems”" title="10.1016/j.camwa.2017.07.020">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1606.09635"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="item6815760" value="6815760" aria-label="mark item Zbl 1379.34026"></div> <div class="author"><a href="/authors/samsonov.anton-a" title="Author Profile">Samsonov, Anton A.</a>; <a href="/authors/solovev.sergei-i" title="Author Profile">Solov’ev, Sergei I.</a></div> <h3 class="title"> <a href="/1379.34026"><strong>Eigenvibrations of a beam with load.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1379.34026">Zbl 1379.34026</a> </h3> <div class="source"> <a href="/serials/2673" title="Journal Profile">Lobachevskii J. Math.</a> <a href="/?q=in%3A372036" title="Articles in this Issue">38, No. 5, 849-855 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A34B09" title="Boundary eigenvalue problems for ordinary differential equations">34B09</a> <a class="mono" href="/classification/?q=cc%3A34L10" title="Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators">34L10</a> <a class="mono" href="/classification/?q=cc%3A34L15" title="Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators">34L15</a> <a class="mono" href="/classification/?q=cc%3A34L20" title="Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators">34L20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1379.34026" data-ciurl="/ci/06815760" data-biburl="/bibtex/06815760.bib" data-amsurl="/amsrefs/06815760.bib" data-xmlurl="/xml/06815760.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06815760.pdf" title="Zbl 1379.34026 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/10.1134/S1995080217050298" aria-label="DOI for “Eigenvibrations of a beam with load”" title="10.1134/S1995080217050298">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="item6808162" value="6808162" aria-label="mark item Zbl 1377.65061"></div> <div class="author"><a href="/authors/guttel.stefan" title="Author Profile">Güttel, Stefan</a>; <a href="/authors/tisseur.francoise" title="Author Profile">Tisseur, Françoise</a></div> <h3 class="title"> <a href="/1377.65061"><strong>The nonlinear eigenvalue problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1377.65061">Zbl 1377.65061</a> </h3> <div class="source"> <a href="/serials/3167" title="Journal Profile">Acta Numerica</a> <a href="/?q=in%3A367125" title="Articles in this Issue">26, 1-94 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65H17" title="Numerical solution of nonlinear eigenvalue and eigenvector problems">65H17</a> <a class="mono" href="/classification/?q=cc%3A65D05" title="Numerical interpolation">65D05</a> <a class="mono" href="/classification/?q=cc%3A65-02" title="Research exposition (monographs, survey articles) pertaining to numerical analysis">65-02</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1377.65061" data-ciurl="/ci/06808162" data-biburl="/bibtex/06808162.bib" data-amsurl="/amsrefs/06808162.bib" data-xmlurl="/xml/06808162.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06808162.pdf" title="Zbl 1377.65061 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/10.1017/S0962492917000034" aria-label="DOI for “The nonlinear eigenvalue problem”" title="10.1017/S0962492917000034">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://pure.manchester.ac.uk/ws/files/55114004/GT17_final.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="item6706809" value="6706809" aria-label="mark item Zbl 1372.35082"></div> <div class="author"><a href="/authors/steinbach.olaf" title="Author Profile">Steinbach, Olaf</a>; <a href="/authors/unger.gerhard" title="Author Profile">Unger, Gerhard</a></div> <h3 class="title"> <a href="/1372.35082"><strong>Combined boundary integral equations for acoustic scattering-resonance problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1372.35082">Zbl 1372.35082</a> </h3> <div class="source"> <a href="/serials/154" title="Journal Profile">Math. Methods Appl. Sci.</a> <a href="/?q=in%3A364418" title="Articles in this Issue">40, No. 5, 1516-1530 (2017)</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%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <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%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1372.35082" data-ciurl="/ci/06706809" data-biburl="/bibtex/06706809.bib" data-amsurl="/amsrefs/06706809.bib" data-xmlurl="/xml/06706809.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06706809.pdf" title="Zbl 1372.35082 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/mma.4075" aria-label="DOI for “Combined boundary integral equations for acoustic scattering-resonance problems”" title="10.1002/mma.4075">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="item6636771" value="6636771" aria-label="mark item Zbl 1351.65084"></div> <div class="author"><a href="/authors/engstrom.christian" title="Author Profile">Engström, Christian</a>; <a href="/authors/langer.heinz" title="Author Profile">Langer, Heinz</a>; <a href="/authors/tretter.christiane" title="Author Profile">Tretter, Christiane</a></div> <h3 class="title"> <a href="/1351.65084"><strong>Rational eigenvalue problems and applications to photonic crystals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1351.65084">Zbl 1351.65084</a> </h3> <div class="source"> <a href="/serials/132" title="Journal Profile">J. Math. Anal. Appl.</a> <a href="/?q=in%3A359582" title="Articles in this Issue">445, No. 1, 240-279 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</a> <a class="mono" href="/classification/?q=cc%3A35P30" title="Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs">35P30</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%3A35P15" title="Estimates of eigenvalues in context of PDEs">35P15</a> <a class="mono" href="/classification/?q=cc%3A82D25" title="Statistical mechanics of crystals">82D25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1351.65084" data-ciurl="/ci/06636771" data-biburl="/bibtex/06636771.bib" data-amsurl="/amsrefs/06636771.bib" data-xmlurl="/xml/06636771.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06636771.pdf" title="Zbl 1351.65084 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.jmaa.2016.07.048" aria-label="DOI for “Rational eigenvalue problems and applications to photonic crystals”" title="10.1016/j.jmaa.2016.07.048">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1507.06381"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="item6702174" value="6702174" aria-label="mark item Zbl 1359.65242"></div> <div class="author"><a href="/authors/engstrom.christian" title="Author Profile">Engström, Christian</a>; <a href="/authors/giani.stefano" title="Author Profile">Giani, Stefano</a>; <a href="/authors/grubisic.luka" title="Author Profile">Grubišić, Luka</a></div> <h3 class="title"> <a href="/1359.65242"><strong>Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1359.65242">Zbl 1359.65242</a> </h3> <div class="source"> <a href="/serials/62" title="Journal Profile">Comput. Math. Appl.</a> <a href="/?q=in%3A364786" title="Articles in this Issue">72, No. 4, 952-973 (2016)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N25" title="Numerical methods for eigenvalue problems for boundary value problems involving PDEs">65N25</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%3A82D25" title="Statistical mechanics of crystals">82D25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1359.65242" data-ciurl="/ci/06702174" data-biburl="/bibtex/06702174.bib" data-amsurl="/amsrefs/06702174.bib" data-xmlurl="/xml/06702174.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06702174.pdf" title="Zbl 1359.65242 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.2016.06.001" aria-label="DOI for “Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications”" title="10.1016/j.camwa.2016.06.001">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://dro.dur.ac.uk/19006/" 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="item6658574" value="6658574" aria-label="mark item Zbl 1388.74063"></div> <div class="author"><a href="/authors/solovev.sergei-i" title="Author Profile">Solov’ev, Sergei I.</a></div> <h3 class="title"> <a href="/1388.74063"><strong>Eigenvibrations of a beam with elastically attached load.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1388.74063">Zbl 1388.74063</a> </h3> <div class="source"> <a href="/serials/2673" title="Journal Profile">Lobachevskii J. Math.</a> <a href="/?q=in%3A360601" title="Articles in this Issue">37, No. 5, 597-609 (2016)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A74K10" title="Rods (beams, columns, shafts, arches, rings, etc.)">74K10</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%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> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1388.74063" data-ciurl="/ci/06658574" data-biburl="/bibtex/06658574.bib" data-amsurl="/amsrefs/06658574.bib" data-xmlurl="/xml/06658574.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06658574.pdf" title="Zbl 1388.74063 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/10.1134/S1995080216050115" aria-label="DOI for “Eigenvibrations of a beam with elastically attached load”" title="10.1134/S1995080216050115">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="item6583125" value="6583125" aria-label="mark item Zbl 1382.65401"></div> <div class="author"><a href="/authors/halla.martin" title="Author Profile">Halla, Martin</a></div> <h3 class="title"> <a href="/1382.65401"><strong>Convergence of Hardy space infinite elements for Helmholtz scattering and resonance problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1382.65401">Zbl 1382.65401</a> </h3> <div class="source"> <a href="/serials/708" title="Journal Profile">SIAM J. Numer. Anal.</a> <a href="/?q=in%3A355298" title="Articles in this Issue">54, No. 3, 1385-1400 (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%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A35B34" title="Resonance in context of PDEs">35B34</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%3A44A10" title="Laplace transform">44A10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1382.65401" data-ciurl="/ci/06583125" data-biburl="/bibtex/06583125.bib" data-amsurl="/amsrefs/06583125.bib" data-xmlurl="/xml/06583125.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06583125.pdf" title="Zbl 1382.65401 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/10.1137/15M1011755" aria-label="DOI for “Convergence of Hardy space infinite elements for Helmholtz scattering and resonance problems”" title="10.1137/15M1011755">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="item6417631" value="6417631" aria-label="mark item Zbl 1311.78017"></div> <div class="author"><a href="/authors/hohage.thorsten" title="Author Profile">Hohage, Thorsten</a>; <a href="/authors/nannen.lothar" title="Author Profile">Nannen, Lothar</a></div> <h3 class="title"> <a href="/1311.78017"><strong>Convergence of infinite element methods for scalar waveguide problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1311.78017">Zbl 1311.78017</a> </h3> <div class="source"> <a href="/serials/354" title="Journal Profile">BIT</a> <a href="/?q=in%3A342095" title="Articles in this Issue">55, No. 1, 215-254 (2015)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10824">Teodora-Liliana Rădulescu (Craiova)</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%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A78A45" title="Diffraction, scattering">78A45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1311.78017" data-ciurl="/ci/06417631" data-biburl="/bibtex/06417631.bib" data-amsurl="/amsrefs/06417631.bib" data-xmlurl="/xml/06417631.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06417631.pdf" title="Zbl 1311.78017 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/s10543-014-0525-x" aria-label="DOI for “Convergence of infinite element methods for scalar waveguide problems”" title="10.1007/s10543-014-0525-x">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1409.6450"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="item6303452" value="6303452" aria-label="mark item Zbl 1366.78024"></div> <div class="author"><a href="/authors/engstrom.christian" title="Author Profile">Engström, Christian</a></div> <h3 class="title"> <a href="/1366.78024"><strong>Spectral approximation of quadratic operator polynomials arising in photonic band structure calculations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1366.78024">Zbl 1366.78024</a> </h3> <div class="source"> <a href="/serials/610" title="Journal Profile">Numer. 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