Method of boundary integral equations as applied to the numerical solution of the three-dimensional Dirichlet problem for the laplace equation in a piecewise homogeneous medium

被引：0

作者：

E. V. Zakharov

A. V. Kalinin

机构：

[1] Moscow State University,Faculty of Computational Mathematics and Cybernetics

来源：

Computational Mathematics and Mathematical Physics | 2009年 / 49卷

关键词：

Dirichlet problem for the Laplace equation; piecewise homogeneous medium; method of boundary integral equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A Dirichlet problem is considered in a three-dimensional domain filled with a piecewise homogeneous medium. The uniqueness of its solution is proved. A system of Fredholm boundary integral equations of the second kind is constructed using the method of surface potentials, and a system of boundary integral equations of the first kind is derived directly from Green’s identity. A technique for the numerical solution of integral equations is proposed, and results of numerical experiments are presented.

引用

页码：1141 / 1150

页数：9

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