Large-Scale Boundary Element Analysis in Solid Mechanics Using Fast Multipole Method

Combined with the fast multipole method, the boundary element method become quite efficient to deal with large-scale engineering and scientific problems. In this paper, the outline of the FMBEM are introduced at first, the accuracy and efficiency are verified and compared with the conventional BEM, a parallel algorithm of FMBEM for PC cluster are briefly presented. Some applications are presented, including: 2D and 3D simulation of composite materials, simulation of 2D elastic solid containing large number of cracks and fatigue crack growth. A new approach of FMBEM for elasto-plasticity problems is also presented.

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