Boundary integral methods for the Laplace equation

DOI10.1017/S0004972700013125zbMath0589.65078MaRDI QIDQ3718108

William McLean

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

boundary element methodLaplace equationboundary integralequationsasymptotic error estimates

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• On the spectra of a Hardy kernel
• Galerkin's method for boundary integral equations on polygonal domains
• The Numerical Solution of Laplace's Equation on a Wedge

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