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Sci. Comput.</a> <a href="/?q=in%3A449690" title="Articles in this Issue">42, No. 3, A1885-A1912 (2020)</a>. </div> <div class="abstract">This article is concerned with gradient recovery schemes for data defined on discretized manifolds. The approach adopted by authors does not require the tangent spaces of the exact manifolds and its superconvergence is guaranteed without the symmetric condition. Numerical experiments are included to support the theoretical findings.<div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11577">Marius Ghergu (Dublin)</a></div> <div class="clearfix"></div></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7226097">Cited in <strong>4</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A65N30" title="MSC2020">65N30</a> </td> <td class="space"> Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65N50" title="MSC2020">65N50</a> </td> <td class="space"> Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65N15" title="MSC2020">65N15</a> </td> <td class="space"> Error bounds for boundary value problems involving PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65N12" title="MSC2020">65N12</a> </td> <td class="space"> Stability and convergence of numerical methods for boundary value problems involving PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A53C99" title="MSC2020">53C99</a> </td> <td class="space"> Global differential geometry </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Agradient+recovery">gradient recovery</a>; <a href="/?q=ut%3Amanifolds">manifolds</a>; <a href="/?q=ut%3Asuperconvergence">superconvergence</a>; <a href="/?q=ut%3Aparametric+polynomial+preserving">parametric polynomial preserving</a>; <a href="/?q=ut%3Aa+posteriori+error+estimator">a posteriori error estimator</a></div> <div class="software"> <h3>Software:</h3><a href="/software/7764">AFEM@matlab</a>; <a href="/software/118">CGAL</a>; <a href="/software/7766">iFEM</a>; <a href="/software/11154">3D Surface Mesh Generation</a>; <a href="/software/558">Matlab</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 1447.65134" data-ciurl="/ci/07226097" data-biburl="/bibtex/07226097.bib" data-amsurl="/amsrefs/07226097.bib" data-xmlurl="/xml/07226097.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07226097.pdf" title="Zbl 1447.65134 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/10.1137/18M1191336" aria-label="DOI for “Parametric polynomial preserving recovery on manifolds”" title="10.1137/18M1191336">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1703.06509"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">M. 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