Application of a new fast multipole BEM for simulation of 2D elastic solid with large number of inclusions

Research paper by Wang Haitao, Yao Zhenhan

Indexed on: 01 Dec '04Published on: 01 Dec '04Published in: Acta Mechanica Sinica


A fast multipole method (FMM) is applied for BEM to reduce both the operation and memory requirement in dealing with very large scale problems. In this paper, a new version of fast multipole BEM for 2D elastostatics is presented and used for simulation of 2D elastic solid with a large number of randomly distributed inclusions combined with a similar subregion approach. Generalized minimum residual method (GMRES) is used as an iterative solver to solve the equation system formed by BEM iteratively. The numerical results show that the scheme presented is applicable to certain large scale problems.