A Nystr�m method for boundary integral equations in domains with corners

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1990 Germany German Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 58, pages 145-161 (issn: 0029-599X, eissn: 0945-3245,

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Authors: Kress, Rainer;

doi: 10.1007/bf01385616

A Nystr�m method for boundary integral equations in domains with corners

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Abstract

The core of this work is a high order quadrature formula for integrals with endpoint singularities. The author obtains such a formula using the trapezoidal rule for the transformed integral. This quadrature rule is then applied in the Nyström method for a class of integral equations of the second kind with endpoint singularities. Finally, the method is applied to the boundary integral equations of the plane potential theory in domains with corners.

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Germany

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DigiZeitschriften
Germany

Keywords

Boundary value and inverse problems for harmonic functions in two dimensions, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Boundary element methods for boundary value problems involving PDEs, Laplace equation, domains with corners, Numerical methods for integral equations, Nyström method, Numerical quadrature and cubature formulas, Article, boundary element method, integrals with endpoint singularities, 510.mathematics, boundary integral equations, quadrature formula, Dirichlet problem

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