https://puma.ub.uni-stuttgart.de/group/simtech/method%20elementPUMA RSS feed for /group/simtech/method%20element2026-04-23T07:12:59+02:00https://puma.ub.uni-stuttgart.de/bibtex/20292151aa2bb96a8903133be3ddc0c68/mhartmannmhartmann2018-07-20T10:54:15+02:00method element Boundary vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="H. Gimperlein" itemprop="url" href="/person/16d1c4375c318fb277b3b3e46876b9aad/author/0"><span itemprop="name">H. Gimperlein</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. Meyer" itemprop="url" href="/person/16d1c4375c318fb277b3b3e46876b9aad/author/1"><span itemprop="name">F. Meyer</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="C. �zdemir" itemprop="url" href="/person/16d1c4375c318fb277b3b3e46876b9aad/author/2"><span itemprop="name">C. �zdemir</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="E. P. Stephan" itemprop="url" href="/person/16d1c4375c318fb277b3b3e46876b9aad/author/3"><span itemprop="name">E. Stephan</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Computer Methods in Applied Mechanics and Engineering</span>, </em> </span>(<em><span>2018<meta content="2018" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:54:15 CEST 2018Computer Methods in Applied Mechanics and Engineering147 - 175Time domain boundary elements for dynamic contact problems3332018method element Boundary vorlaeufig Abstract This article considers a unilateral contact problem for the wave equation. The problem is reduced to a variational inequality for the Dirichlet-to-Neumann operator for the wave equation on the boundary, which is solved in a saddle point formulation using boundary elements in the time domain. As a model problem, also a variational inequality for the single layer operator is considered. A priori estimates are obtained for Galerkin approximations both to the variational inequality and the mixed formulation in the case of a flat contact area, where the existence of solutions to the continuous problem is known. Numerical experiments demonstrate the performance of the proposed mixed method. They indicate the stability and convergence beyond flat geometries.