Convergence of adaptive BEM for some mixed boundary value problem

DOI10.1016/j.apnum.2011.03.008zbMath1242.65220OpenAlexW2008590430WikidataQ30457576 ScholiaQ30457576MaRDI QIDQ412294

Dirk Praetorius, Michael Karkulik, Petra Goldenits, Markus Mayr, Samuel Ferraz-Leite, Markus Aurada

Publication date: 4 May 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.03.008

zbMATH Keywords

convergenceGalerkin methodconsistencynumerical examplesadaptive algorithmLaplace equationmixed boundary conditionsa posteriori error estimatorlocal mesh-refinementboundary element method (BEM)

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

HILBERT -- a MATLAB implementation of adaptive 2D-BEM. \(\underline {\text H}\)ilbert \(\underline {\text I}\)s a \(\underline {\text L}\)ovely \(\underline {\text B}\)oundary \(\underline {\text E}\)lement \(\underline {\text R}\)esearch \(\underline {\text T}\)ool ⋮ Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation ⋮ Convergence of adaptive BEM for some mixed boundary value problem ⋮ Estimator reduction and convergence of adaptive BEM ⋮ Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data ⋮ Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation

Uses Software

• Matlab
• HILBERT

Cites Work

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