Approximation of Integrals for Boundary Element Methods

DOI10.1137/0912024zbMath0722.65005OpenAlexW1992460364MaRDI QIDQ3210034

Kurt Georg

Publication date: 1991

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1a4f4b0dce0cc6da323a677c853fe50c15a4dcac

zbMATH Keywords

numerical examplesretractionquadrature formulatriangulationsLaplace equationextrapolationboundary element methodsadaptive refinementtrapezoidal ruletopological isomorphismsurface integralscurved subdivision

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Integral equations with kernels of Cauchy type (45E05)

Related Items (10)

Perturbation analysis for some linear boundary integral operators ⋮ The modified trapezoidal rule for line integrals ⋮ Adaptive quadratures over volumes ⋮ Volume integrals for boundary element methods ⋮ Some Error Estimates for the Numerical Approximation of Surface Integrals ⋮ Proof of a Conjectured Asymptotic Expansion for the Approximation of Surface Integrals ⋮ Quadrature Over Curved Surfaces by Extrapolation ⋮ A new proof of the Euler-Maclaurin expansion for quadrature over implicitly defined curves ⋮ Adaptive integration techniques for almost singular functions in the boundary element method ⋮ Piecewise linear methods for nonlinear equations and optimization

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