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
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
收藏
页码:40 / 74
页数:35
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