First kind integral equations for the numerical solution of the plane Dirichlet problem.

Autor:	Christiansen, Søren
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles boundary integral equation interior Dirichlet boundary value problem Laplace equation collocation method
Druh dokumentu:	Non-fiction
ISSN:	0373-6725
Abstrakt:	Abstract: We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby we compare the various integral equations, and recommend two of them. We give a survey of the various numerical methods, and present a simple method for the numerical solution of the recommended integral equations.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text