The \(p\)-version of the boundary element method for weakly singular operators on piecewise plane open surfaces

DOI10.1007/s00211-006-0058-6zbMath1117.65160OpenAlexW1965681162MaRDI QIDQ878050

Norbert Heuer, Alexei Bespalov

Publication date: 26 April 2007

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-006-0058-6

zbMATH Keywords

convergenceSobolev spaceboundary element methoderror estimateelliptic problemssingular operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation ⋮ \(hp\)-version time domain boundary elements for the wave equation on quasi-uniform meshes ⋮ Thehp-version of the boundary element method with quasi-uniform meshes in three dimensions ⋮ A note on the polynomial approximation of vertex singularities in the boundary element method in three dimensions

Uses Software

• BiCom

Cites Work

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• Boundary Integral Operators on Lipschitz Domains: Elementary Results
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• Decompositions in Edge and Corner Singularities for the Solution of the Dirichlet Problem of the Laplacian in a Polyhedron
• The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
• Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number
• The Optimalp-Version Approximation of Singularities on Polyhedra in the Boundary Element Method

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