Second kind integral equations for the classical potential theory on open surfaces I: analytical apparatus

被引：5

作者：

Jiang, SD ^{[1
]}

Rokhlin, V ^{[1
]}

机构：

[1] Yale Univ, Dept Comp Sci, New Haven, CT 06520 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2003年 / 191卷 / 01期

关键词：

open surface problems; Laplace equation; finite Hilbert transform; second kind integral equation; Dirichlet problem;

D O I：

10.1016/S0021-9991(03)00304-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A stable second kind integral equation formulation has been developed for the Dirichlet problem for the Laplace equation in two dimensions, with the boundary conditions specified on a collection of open curves. The performance of the obtained apparatus is illustrated with several numerical examples. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：40 / 74

页数：35

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