https://puma.ub.uni-stuttgart.de/group/simtech/errorPUMA RSS feed for /group/simtech/error2026-04-21T18:46:42+02:00https://puma.ub.uni-stuttgart.de/bibtex/2992b581f1e96812159406b320cdc362c/mhartmannmhartmann2018-07-20T10:54:15+02:00a estimator, equations posteriori adaptive error refinement, vorlaeufig elliptic mesh <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Fernando D. Gaspoz" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/11e7a0334d6389891fae356da35076ece/author/0"><span itemprop="name">F. Gaspoz</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Pedro Morin" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/11e7a0334d6389891fae356da35076ece/author/1"><span itemprop="name">P. Morin</span></a></span></span>. </span>(<em><span>2009<meta content="2009" itemprop="datePublished"/></span></em>)<a href="https://puma.ub.uni-stuttgart.de/bibtex/2992b581f1e96812159406b320cdc362c/mhartmann"><i>Convergence rates for adaptive finite elements.</i></a><em><span itemprop="journal">IMA J. Numer. Anal.</span>, </em><em>volume 29. </em><em>page <span itemprop="pagination">917--936</span>. </em><em><span itemprop="publisher">Oxford University Press</span>, </em> [<a href="https://puma.ub.uni-stuttgart.de/">PUMA</a>: <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/a">a</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/estimator,">estimator,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/equations">equations</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/posteriori">posteriori</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/adaptive">adaptive</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/error">error</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/refinement,">refinement,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/vorlaeufig">vorlaeufig</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/elliptic">elliptic</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/mesh">mesh</a>]https://puma.ub.uni-stuttgart.de/bibtex/2c9ff784e6a0440b80b45055fa2c9df7e/mhartmannmhartmann2018-07-20T10:54:15+02:00subspace error dynamical kernel a-posteriori methods, systems, nonlinear offline/online decomposition, parameterized projection estimates, model vorlaeufig reduction, <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Daniel Wirtz" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1e6dce191069323c30bda8a87cce2913a/author/0"><span itemprop="name">D. Wirtz</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Bernard Haasdonk" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1e6dce191069323c30bda8a87cce2913a/author/1"><span itemprop="name">B. Haasdonk</span></a></span></span>. </span>(<em><span>2012<meta content="2012" itemprop="datePublished"/></span></em>)<a href="https://puma.ub.uni-stuttgart.de/bibtex/2c9ff784e6a0440b80b45055fa2c9df7e/mhartmann"><i>A-posteriori error estimation for parameterized kernel-based systems.</i></a><em><span itemprop="name">Proc. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling</span>, </em> [<a href="https://puma.ub.uni-stuttgart.de/">PUMA</a>: <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/subspace">subspace</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/error">error</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/dynamical">dynamical</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/kernel">kernel</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/a-posteriori">a-posteriori</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/methods,">methods,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/systems,">systems,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/nonlinear">nonlinear</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/offline%2fonline">offline/online</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/decomposition,">decomposition,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/parameterized">parameterized</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/projection">projection</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/estimates,">estimates,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/model">model</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/vorlaeufig">vorlaeufig</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/reduction,">reduction,</a>] <a href="http://www.ifac-papersonline.net/">URL</a>https://puma.ub.uni-stuttgart.de/bibtex/2f5f80e984a2acb11eefec6e697309130/mhartmannmhartmann2018-07-20T10:54:15+02:00A convergence; posteriori reduction; error estimate; multigrid oscillation; preconditioning vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="J. Manuel Cascón" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/10455c6fff7212a7c27b39d27400fc025/author/0"><span itemprop="name">J. Cascón</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Ricardo H. Nochetto" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/10455c6fff7212a7c27b39d27400fc025/author/1"><span itemprop="name">R. Nochetto</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Kunibert G. Siebert" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/10455c6fff7212a7c27b39d27400fc025/author/2"><span itemprop="name">K. Siebert</span></a></span></span>. </span>(<em><span>2007<meta content="2007" itemprop="datePublished"/></span></em>)<a href="https://puma.ub.uni-stuttgart.de/bibtex/2f5f80e984a2acb11eefec6e697309130/mhartmann"><i>Design and Convergence of AFEM in $H(div)$.</i></a><em><span itemprop="journal">Mathematical Models &amp; Methods in Applied Sciences</span>, </em><em>volume 17. </em><em>page <span itemprop="pagination">1849--1881</span>. </em> [<a href="https://puma.ub.uni-stuttgart.de/">PUMA</a>: <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/A">A</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/convergence;">convergence;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/posteriori">posteriori</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/reduction;">reduction;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/error">error</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/estimate;">estimate;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/multigrid">multigrid</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/oscillation;">oscillation;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/preconditioning">preconditioning</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/vorlaeufig">vorlaeufig</a>] <a href="http://dx.doi.org/10.1142/S0218202507002492">URL</a>https://puma.ub.uni-stuttgart.de/bibtex/2cc6b799a8d34f87ec3cd593a8053b3ae/mhartmannmhartmann2018-07-20T10:54:15+02:00Error decomposition; medium 76D07 Porous Reduced method; basis problem; Stokes estimation; 76S05; equation; Non-coercive Domain flow; vorlaeufig 65N55; <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="I. Martini" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/11474e2e0db6128c1ec02771a5ff8841b/author/0"><span itemprop="name">I. Martini</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="G. Rozza" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/11474e2e0db6128c1ec02771a5ff8841b/author/1"><span itemprop="name">G. Rozza</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="B. Haasdonk" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/11474e2e0db6128c1ec02771a5ff8841b/author/2"><span itemprop="name">B. Haasdonk</span></a></span></span>. </span>(<em><span>2015<meta content="2015" itemprop="datePublished"/></span></em>)<a href="https://puma.ub.uni-stuttgart.de/bibtex/2cc6b799a8d34f87ec3cd593a8053b3ae/mhartmann"><i>Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system.</i></a><em><span itemprop="journal">Advances in Computational Mathematics</span>, </em><em>volume 41. </em><em>page <span itemprop="pagination">1131--1157</span>. </em> [<a href="https://puma.ub.uni-stuttgart.de/">PUMA</a>: <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/Error">Error</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/decomposition;">decomposition;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/medium">medium</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/76D07">76D07</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/Porous">Porous</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/Reduced">Reduced</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/method;">method;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/basis">basis</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/problem;">problem;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/Stokes">Stokes</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/estimation;">estimation;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/76S05;">76S05;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/equation;">equation;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/Non-coercive">Non-coercive</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/Domain">Domain</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/flow;">flow;</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/vorlaeufig">vorlaeufig</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/65N55;">65N55;</a>] <a href="http://link.springer.com/article/10.1007/s10444-014-9396-6">URL</a>https://puma.ub.uni-stuttgart.de/bibtex/24276d5a0313937597a16f8ab9f50ce70/mhartmannmhartmann2018-07-20T10:54:15+02:00a equation estimators, convergence, error finite methods, posteriori adaptivity, element vorlaeufig heat <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. D. Gaspoz" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1590acae3fb93ecdb48f22ba922444179/author/0"><span itemprop="name">F. Gaspoz</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="C. Kreuzer" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1590acae3fb93ecdb48f22ba922444179/author/1"><span itemprop="name">C. Kreuzer</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="K. Siebert" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1590acae3fb93ecdb48f22ba922444179/author/2"><span itemprop="name">K. Siebert</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="D. Ziegler" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1590acae3fb93ecdb48f22ba922444179/author/3"><span itemprop="name">D. Ziegler</span></a></span></span>. </span>(<em><span>2017<meta content="2017" itemprop="datePublished"/></span></em>)<a href="https://puma.ub.uni-stuttgart.de/bibtex/24276d5a0313937597a16f8ab9f50ce70/mhartmann"><i>A convergent time-space adaptive $dG(s)$ finite element method for parabolic problems motivated by equal error distribution.</i></a><em><span itemprop="journal">Submitted</span>, </em> [<a href="https://puma.ub.uni-stuttgart.de/">PUMA</a>: <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/a">a</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/equation">equation</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/estimators,">estimators,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/convergence,">convergence,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/error">error</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/finite">finite</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/methods,">methods,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/posteriori">posteriori</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/adaptivity,">adaptivity,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/element">element</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/vorlaeufig">vorlaeufig</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/heat">heat</a>] <a href="https://arxiv.org/abs/1610.06814">URL</a>https://puma.ub.uni-stuttgart.de/bibtex/2a795baaf1eb095e7f7ab84a05f884ad8/mhartmannmhartmann2018-07-20T10:54:15+02:00a Dirac estimators, error finite fractional methods, posteriori adaptivity, element spaces mass, Sobolev vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. D. Gaspoz" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1fea501ed2a4ad0de2f63886c01491c60/author/0"><span itemprop="name">F. Gaspoz</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="P. Morin" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1fea501ed2a4ad0de2f63886c01491c60/author/1"><span itemprop="name">P. Morin</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="A. Veeser" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1fea501ed2a4ad0de2f63886c01491c60/author/2"><span itemprop="name">A. Veeser</span></a></span></span>. </span>(<em><span>2017<meta content="2017" itemprop="datePublished"/></span></em>)<a href="https://puma.ub.uni-stuttgart.de/bibtex/2a795baaf1eb095e7f7ab84a05f884ad8/mhartmann"><i>A posteriori error estimates with point sources in fractional sobolev spaces.</i></a><em><span itemprop="journal">Numerical Methods for Partial Differential Equations</span>, </em><em>volume 33. </em><em>page <span itemprop="pagination">1018--1042</span>. </em> [<a href="https://puma.ub.uni-stuttgart.de/">PUMA</a>: <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/a">a</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/Dirac">Dirac</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/estimators,">estimators,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/error">error</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/finite">finite</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/fractional">fractional</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/methods,">methods,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/posteriori">posteriori</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/adaptivity,">adaptivity,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/element">element</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/spaces">spaces</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/mass,">mass,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/Sobolev">Sobolev</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/vorlaeufig">vorlaeufig</a>] <a href="http://dx.doi.org/10.1002/num.22065">URL</a>https://puma.ub.uni-stuttgart.de/bibtex/2699c9caf6155e0598d9c980105b8118d/mhartmannmhartmann2018-07-20T10:54:15+02:00subspace error dynamical kernel a-posteriori methods, systems, nonlinear offline/online decomposition, projection estimates, model vorlaeufig reduction, <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="D. Wirtz" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1e80ae72fe2c1f9f79f4f7f8f5ce00735/author/0"><span itemprop="name">D. Wirtz</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="B. Haasdonk" itemprop="url" href="https://puma.ub.uni-stuttgart.de/person/1e80ae72fe2c1f9f79f4f7f8f5ce00735/author/1"><span itemprop="name">B. Haasdonk</span></a></span></span>. </span>(<em><span>2012<meta content="2012" itemprop="datePublished"/></span></em>)<a href="https://puma.ub.uni-stuttgart.de/bibtex/2699c9caf6155e0598d9c980105b8118d/mhartmann"><i>Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems.</i></a><em><span itemprop="journal">Systems and Control Letters</span>, </em><em>volume 61. </em><em>page <span itemprop="pagination">203 - 211</span>. </em> [<a href="https://puma.ub.uni-stuttgart.de/">PUMA</a>: <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/subspace">subspace</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/error">error</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/dynamical">dynamical</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/kernel">kernel</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/a-posteriori">a-posteriori</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/methods,">methods,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/systems,">systems,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/nonlinear">nonlinear</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/offline%2fonline">offline/online</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/decomposition,">decomposition,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/projection">projection</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/estimates,">estimates,</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/model">model</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/vorlaeufig">vorlaeufig</a> <a href="https://puma.ub.uni-stuttgart.de/user/mhartmann/reduction,">reduction,</a>] <a href="http://www.sciencedirect.com/science/article/pii/S0167691111002672">URL</a>