A new a posteriori error estimator in adaptive direct boundary element methods: The Dirichlet problem

DOI10.1007/s100920070009zbMath0962.65091OpenAlexW4244627485MaRDI QIDQ1570398

Heiko Schulz, Olaf Steinbach

Publication date: 31 May 2001

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s100920070009

zbMATH Keywords

Dirichlet problemcollocation methodGalerkin methodnumerical resultsboundary integral equationLaplace equationboundary element methodsNeumann seriesdouble layer potentialqualocation methoderror estimator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

Local convergence of the boundary element method on polyhedral domains ⋮ Simple a posteriori error estimators for the \(h\)-version of the boundary element method ⋮ Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation ⋮ Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary ⋮ Convergence of adaptive boundary element methods ⋮ ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve ⋮ Unnamed Item ⋮ Mathematical foundation of a posteriori error estimates and adaptive mesh-refining algorithms for boundary integral equations of the first kind ⋮ Adaptive finite element-boundary element solution of boundary value problems ⋮ Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement

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