Application of new fast multipole boundary integral equation method to crack problems in 3D

被引：51

作者：

Yoshida, K

Nishimura, N ^{[1
]}

Kobayashi, S

机构：

[1] Kyoto Univ, Dept Global Environm Engn, Kyoto 6068501, Japan

[2] Fukui Inst Technol, Dept COnstruct Engn, Fukui 9108505, Japan

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2001年 / 25卷 / 4-5期

关键词：

FMM; new version of FMM; BIEM; Laplace's equation; GMRES; crack;

D O I：

10.1016/S0955-7997(01)00030-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Fast multipole method (FMM) has been developed as a technique to reduce the computational cost and memory requirements in solving large scale problems. This paper discusses an application of the new version of FMM to three-dimensional boundary integral equation method (BIEM) for crack problems for the Laplace equation. The boundary integral equation is discretised with collocation method. The resulting algebraic equation is solved with generalised minimum residual method (GMRES). The numerical results show that the new version of FMM is more efficient than the original FMM. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：239 / 247

页数：9

共 32 条

[1]

Biedenharn L. S., 1981, ANGULAR MOMENTUM QUA

[2]

BREBBIA CA, 1973, VARIATIONAL METHODS, V2

[3] Fast multipole method as an efficient solver for 2D elastic wave surface integral equations [J].