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| Three-dimensional elastic fast multipole BEM |
| Revised:October 28, 2002 |
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| DOI：10.7511/jslx20044082 |
| KeyWord:Boundary Element Method,fast multipole method,GMRES error analysis |
| Liu Deyi Shen Guangxian~* |
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| Abstract: |
| In this paper, we incorporate fast multipole method and GMRES to Boundary Element Method, and use this method to solve 3-D elastic problems. In this case, the memory and operations requirements of a problem with N unknowns are proportional to N, it can speed up radically the computation and adapt to large scale numerical computing. The key of the method is mathematical decomposition of fundamental solutions of three-dimensional elasticity, to form the error function relying on the regular of error distribution, and use the generalized minimum residual algorithm(GMRES) to find the solution of matrix equation. By a large scale test ,we get the balance point of the traditional BEM and fast multipole BEM up to 1700~1800 degrees of freedom. The fast multipole BEM needs less memories then traditional BEM. This method is effective, and has extensive application prospect. |
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