Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D
Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D
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DOI：
10.1002/1097-0207(20010130)50:3
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发表时间：
2001-01
影响因子：
2.9
通讯作者：
Kenichi Yoshida;N. Nishimura;Shoichi Kobayashi
中科院分区：
文献类型：
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作者：
Kenichi Yoshida;N. Nishimura;Shoichi Kobayashi
快速多极子方法（FMM）已发展成为一种在求解大规模问题时降低计算成本和内存需求的技术。本文讨论了FMM在弹性静力学裂纹问题的三维边界积分方程方法中的应用。许多裂纹问题的边界积分方程通过FMM和伽辽金方法离散化。所得的代数方程用广义最小残差法（GMRES）求解。数值结果表明，当未知数的数量超过约1200时，FMM比传统方法更高效，因此可用于断裂力学的大规模分析。版权所有©2001约翰威立父子有限公司
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 FMM to three-dimensional boundary integral equation method for elastostatic crack problems. The boundary integral equation for many crack problems is discretized with FMM and Galerkin's method. The resulting algebraic equation is solved with generalized minimum residual method (GMRES). The numerical results show that FMM is more efficient than conventional methods when the number of unknowns is more than about 1200 and, therefore, can be useful in large-scale analyses of fracture mechanics. Copyright © 2001 John Wiley & Sons, Ltd.