An optimal order collocation method for first kind boundary integral equations on polygons

DOI10.1007/s002110050107zbMath0827.65117OpenAlexW2015466529MaRDI QIDQ1347025

Publication date: 11 December 1995

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050107

zbMATH Keywords

convergence collocation method numerical examples potential theory logarithmic kernel first kind linear boundary integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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