May the singular integrals in BEM be replaced by zero?

DOI10.1016/j.cma.2004.03.016zbMath1071.65159OpenAlexW2152079818MaRDI QIDQ1777120

Nico Krzebek, Steffen Börm, Stefan A. Sauter

Publication date: 12 May 2005

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2004.03.016

zbMATH Keywords

convergenceconsistencynumerical examplesboundary element methodsingular integralsLaplace equationBoundary integral equationsPanel clustering methodVariable order approximation

Mathematics Subject Classification ID

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 (2)

BEM with linear complexity for the classical boundary integral operators ⋮ Recompression techniques for adaptive cross approximation

Cites Work

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• Rapid solution of integral equations of classical potential theory
• On the fast matrix multiplication in the boundary element method by panel clustering
• On the efficient use of the Galerkin-method to solve Fredholm integral equations
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• Integral equations. Theory and numerical treatment
• Efficient automatic quadrature in 3-D Galerkin BEM
• A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems
• The double layer potential operator over polyhedral domains i: solvability in weighted sobolev spaces

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