A fast multipole boundary integral equation method for crack problems in 3D

被引：107
|
作者：
Nishimura, N [1 ]
Yoshida, K [1 ]
Kobayashi, S [1 ]
机构：
[1] Kyoto Univ, Dept Global Environm Engn, Kyoto 6068501, Japan
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1999年 / 23卷 / 01期
关键词：
fast multipole boundary integral equation method; FMM; GMRES; crack; fast method;
D O I：
10.1016/S0955-7997(98)00065-4
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper discusses a three-dimensional fast multipole boundary integral equation method for crack problems for Laplace's equation. The proposed implementation uses collocation and piecewise constant shape functions to discretise the hypersingular boundary integral equation for crack problems. The resulting numerical equation is solved with GMRES (generalised minimum residual method) in connection with FMM (fast multipole method). It is found that the obtained code is faster than a conventional one when the number of unknowns is greater than about 1300. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：97 / 105
页数：9
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