An Analysis of Quadrature Errors in Second-Kind Boundary Integral Methods

DOI10.1137/0726079zbMath0695.65067OpenAlexW2000857334MaRDI QIDQ3471668

L. Ridgway Scott, Claes Johnson

Publication date: 1989

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0726079

zbMATH Keywords

collocation methodGalerkin methodboundary integral equationerror boundsconjugate gradient methodLaplace equationexterior Neumann problemquadrature formula methodweakly singular kernelsecond kind Fredholm integral equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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