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

Christiansen, Søren

Applications of Mathematics, Tome 34 (1989) no. 4, pp. 285-302

Abstract (VO)

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.

Détail

DOI : 10.21136/AM.1989.104357

Classification : 35C15, 35J25, 45E10, 65N35, 65R20
Keywords: boundary integral equation; interior Dirichlet boundary value problem; Laplace equation; collocation method

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