A polynomial collocation method for the numerical solution of weakly singular and singular integral equations on non-smooth boundaries

DOI10.1002/nme.843zbMath1035.65145OpenAlexW2027970161MaRDI QIDQ4446857

Letizia Scuderi, Giovanni Monegato

Publication date: 3 February 2004

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.843

zbMATH Keywords

numerical examplesLaplace equationboundary integral equationsweakly singular integral equationpolynomial collocation methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) 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)

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Cites Work

• A Chebyshev polynomial collocation Boundary Integral Equation Method (BIEM) for mixed boundary value problems on nonsmooth boundaries
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