Integral equation methods for Stokes flow and isotropic elasticity in the plane

被引:103
作者
Greengard, L [1 ]
Kropinski, MC [1 ]
Mayo, A [1 ]
机构
[1] IBM CORP,THOMAS J WATSON RES CTR,YORKTOWN HTS,NY 10598
基金
美国国家科学基金会;
关键词
D O I
10.1006/jcph.1996.0102
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present a class of integral equation methods for the solution of biharmonic boundary value problems, with applications to two-dimensional Stokes flow and isotropic elasticity. The domains may be multiply-connected and finite, infinite or semi-infinite in extent. Our analytic formulation is based on complex variables, and our fast multipole-based iterative solution procedure requires O(N) operations, where N is the number of nodes in the discretization of the boundary. The performance of the methods is illustrated with several large-scale numerical examples. (C) 1996 Academic Press, Inc.
引用
收藏
页码:403 / 414
页数:12
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