Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

DOI10.1051/m2an/2011075zbMath1276.65066OpenAlexW2020517430MaRDI QIDQ2838580

Dirk Praetorius, Michael Feischl, Markus Aurada

Publication date: 10 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011075

zbMATH Keywords

convergencefinite element methodboundary element methodadaptive algorithma posteriori error estimateFEM-BEM couplingsymmetric coupling(nonlinear) interface problem2D Laplacianlowest-order Galerkin scheme

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (12)

Axioms of adaptivity ⋮ Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation ⋮ Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity ⋮ Inf-sup stability implies quasi-orthogonality ⋮ Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems ⋮ Simultaneous quasi‐optimal convergence rates in FEM‐BEM coupling ⋮ Developments on the stability of the non-symmetric coupling of finite and boundary elements ⋮ A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling ⋮ Stabilized mixed \(hp\)-BEM for frictional contact problems in linear elasticity ⋮ A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems ⋮ The Eddy Current--LLG Equations: FEM-BEM Coupling and A Priori Error Estimates ⋮ On an adaptive FEM-BEM for nonlinear transmission problem

Uses Software

• HILBERT

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