On the treatment of corners in the boundary element method

DOI10.1016/0377-0427(90)90043-YzbMath0733.65069MaRDI QIDQ809567

Leonard J. Gray, Earlin Lutz

Publication date: 1990

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

zbMATH Keywords

algorithmnumerical testsLaplace equationcornersboundary elementhypersingular integralsgeometric discontinuities

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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• Evaluation of hypersingular integrals in the boundary element method
• Exact expression for a two-dimensional finite-part integral appearing during the numerical solution of crack problems in three-dimensional elasticity
• Three-dimensional fracture simulation with a single-domain, direct boundary element formulation
• Hypersingular integrals in boundary element fracture analysis