Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions

被引：9

作者：

Jiang, Shidong ^{[3
]}

Ren, Bo ^{[3
]}

Tsuji, Paul ^{[2
]}

Ying, Lexing ^{[1
,2
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[2] Univ Texas Austin, ICES, Austin, TX 78712 USA

[3] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 19期

基金：

美国国家科学基金会;

关键词：

Second kind integral equation; Dirichlet problem; Biharmonic equation; FAST MULTIPOLE METHOD; SPECTRAL-GALERKIN METHOD; DIRECT SOLVERS; ALGORITHM; SCATTERING; 2ND-ORDER; SURFACE;

D O I：

10.1016/j.jcp.2011.06.015

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on the constructed SKIE. Its performance is illustrated via several numerical examples. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：7488 / 7501

页数：14

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