Some Boundary Element Methods Using Dirac’s Distributions As Trial Functions

DOI10.1137/0724052zbMath0637.65111OpenAlexW2037568116MaRDI QIDQ3777386

Jukka Saranen, Keijo Matti Ruotsalainen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1137/0724052

zbMATH Keywords

stabilitycomputational complexityconvergencenumerical examplecollocation methoddouble layerFredholm integral equationboundary element methodPetrov-Galerkin methodLaplace's equationError boundsNyström's methodDirac functionssingle layerstrongly elliptic pseudo-differential operator

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) 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) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

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