PUMA publications for /tag/finite%20softwarehttps://puma.ub.uni-stuttgart.de/tag/finite%20softwarePUMA RSS feed for /tag/finite%20software2024-03-29T11:34:30+01:00Design of Finite Element Tools for Coupled Surface and Volume Mesheshttps://puma.ub.uni-stuttgart.de/bibtex/2d139b76a0d524aed7c15503f76b34fd4/mathematikmathematik2018-07-20T10:55:05+02:00Adaptive design element finite from:mhartmann ians methods, scientific software software, vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Daniel Köster" itemprop="url" href="/person/1e9714704742940ccda41faa66c3346cc/author/0"><span itemprop="name">D. Köster</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Oliver Kriessl" itemprop="url" href="/person/1e9714704742940ccda41faa66c3346cc/author/1"><span itemprop="name">O. Kriessl</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Kunibert G. Siebert" itemprop="url" href="/person/1e9714704742940ccda41faa66c3346cc/author/2"><span itemprop="name">K. Siebert</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Numerical Mathematics: Theory, Methods and Applications</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">1 </span></span>(<span itemprop="issueNumber">3</span>):
<span itemprop="pagination">245-274</span></em> </span>(<em><span>2008<meta content="2008" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:55:05 CEST 2018Numerical Mathematics: Theory, Methods and Applications3245-274Design of Finite Element Tools for Coupled Surface and Volume Meshes12008Adaptive design element finite from:mhartmann ians methods, scientific software software, vorlaeufig Many problems with underlying variational structure involve a coupling
of volume with surface effects. A straight-forward approach in a
finite element discretization is to make use of the surface triangulation
that is naturally induced by the volume triangulation. In an adaptive
method one wants to facilitate "matching" local mesh modifications,
i.e., local refinement and/or coarsening, of volume and surface mesh
with standard tools such that the surface grid is always induced
by the volume grid. We describe the concepts behind this approach
for bisectional refinement and describe new tools incorporated in
the finite element toolbox ALBERTA. We also present several important
applications of the mesh coupling.ALBERT --- Software for Scientific Computations and Applicationshttps://puma.ub.uni-stuttgart.de/bibtex/28e5c4ef4cd89f8480d3267c8ac2ae0f5/mathematikmathematik2018-07-20T10:54:41+02:00Adaptive design element finite from:mhartmann ians methods, scientific software software, vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Alfred Schmidt" itemprop="url" href="/person/1a5a8cd137415bf5bebd5688c3f8c4b73/author/0"><span itemprop="name">A. Schmidt</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Kunibert G. Siebert" itemprop="url" href="/person/1a5a8cd137415bf5bebd5688c3f8c4b73/author/1"><span itemprop="name">K. Siebert</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Acta Mathematica Universitatis Comenianae, New Ser.</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">70 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">105-122</span></em> </span>(<em><span>2001<meta content="2001" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:54:41 CEST 2018Acta Mathematica Universitatis Comenianae, New Ser.1105-122\textsf{ALBERT} --- {S}oftware for Scientific Computations and Applications702001Adaptive design element finite from:mhartmann ians methods, scientific software software, vorlaeufig Adaptive finite element methods are a modern, widely used tool which
make realistic computations feasible, even in three space dimensions.
We describe the basic ideas and ingredients of adaptive FEM and the
implementation of our toolbox \ALBERT. The design of \ALBERT is based
on the natural hierarchy of locally refined meshes and an abstract
concept of general finite element spaces. As a result, dimension
independent programming of applications is possible. Numerical results
from applications in two and three space dimensions demonstrate the
flexibility of \ALBERT.Design of Finite Element Tools for Coupled Surface and Volume Mesheshttps://puma.ub.uni-stuttgart.de/bibtex/2d139b76a0d524aed7c15503f76b34fd4/mhartmannmhartmann2018-07-20T10:54:15+02:00Adaptive design element finite methods, scientific software software, vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Daniel Köster" itemprop="url" href="/person/1e9714704742940ccda41faa66c3346cc/author/0"><span itemprop="name">D. Köster</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Oliver Kriessl" itemprop="url" href="/person/1e9714704742940ccda41faa66c3346cc/author/1"><span itemprop="name">O. Kriessl</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Kunibert G. Siebert" itemprop="url" href="/person/1e9714704742940ccda41faa66c3346cc/author/2"><span itemprop="name">K. Siebert</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Numerical Mathematics: Theory, Methods and Applications</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">1 </span></span>(<span itemprop="issueNumber">3</span>):
<span itemprop="pagination">245-274</span></em> </span>(<em><span>2008<meta content="2008" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:54:15 CEST 2018Numerical Mathematics: Theory, Methods and Applications3245-274Design of Finite Element Tools for Coupled Surface and Volume Meshes12008Adaptive design element finite methods, scientific software software, vorlaeufig Many problems with underlying variational structure involve a coupling
of volume with surface effects. A straight-forward approach in a
finite element discretization is to make use of the surface triangulation
that is naturally induced by the volume triangulation. In an adaptive
method one wants to facilitate "matching" local mesh modifications,
i.e., local refinement and/or coarsening, of volume and surface mesh
with standard tools such that the surface grid is always induced
by the volume grid. We describe the concepts behind this approach
for bisectional refinement and describe new tools incorporated in
the finite element toolbox ALBERTA. We also present several important
applications of the mesh coupling.ALBERT --- Software for Scientific Computations and Applicationshttps://puma.ub.uni-stuttgart.de/bibtex/28e5c4ef4cd89f8480d3267c8ac2ae0f5/mhartmannmhartmann2018-07-20T10:54:15+02:00Adaptive design element finite methods, scientific software software, vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Alfred Schmidt" itemprop="url" href="/person/1a5a8cd137415bf5bebd5688c3f8c4b73/author/0"><span itemprop="name">A. Schmidt</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Kunibert G. Siebert" itemprop="url" href="/person/1a5a8cd137415bf5bebd5688c3f8c4b73/author/1"><span itemprop="name">K. Siebert</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Acta Mathematica Universitatis Comenianae, New Ser.</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">70 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">105-122</span></em> </span>(<em><span>2001<meta content="2001" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:54:15 CEST 2018Acta Mathematica Universitatis Comenianae, New Ser.1105-122\textsf{ALBERT} --- {S}oftware for Scientific Computations and Applications702001Adaptive design element finite methods, scientific software software, vorlaeufig Adaptive finite element methods are a modern, widely used tool which
make realistic computations feasible, even in three space dimensions.
We describe the basic ideas and ingredients of adaptive FEM and the
implementation of our toolbox \ALBERT. The design of \ALBERT is based
on the natural hierarchy of locally refined meshes and an abstract
concept of general finite element spaces. As a result, dimension
independent programming of applications is possible. Numerical results
from applications in two and three space dimensions demonstrate the
flexibility of \ALBERT.