Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without \(h\)-weighting factor

DOI10.1515/cmam-2014-0019zbMath1303.65091arXiv1405.5306OpenAlexW1983457966MaRDI QIDQ481900

Michael Feischl, Thomas Führer, Gregor Mitscha-Eibl, Dirk Praetorius, Ernst Peter Stephan

Publication date: 18 December 2014

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5306

zbMATH Keywords

convergenceadaptive algorithma posteriori error estimateFEM-BEM couplingboundary element method (BEM)

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations ⋮ Adaptive 2D IGA boundary element methods ⋮ Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations ⋮ Adaptive and iterative methods for simulations of nanopores with the PNP-Stokes equations ⋮ Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations ⋮ Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations ⋮ A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems ⋮ The saturation assumption yields optimal convergence of two-level adaptive BEM

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