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A fast hierarchical dual boundary element method for three dimensional elastodynamic crack problems

cepheid 添加于 2011/7/19 20:44:25  680次阅读 | 1次推荐 | 0个评论

Keywords:dual boundary element method;laplace transform method;fast BEM solvers;large‐scale computations;elastodynamicsAbstractIn this work a fast solver for large‐scale three‐dimensional elastodynamic crack problems is presented, implemented, and tested. The dual boundary element method in the Laplace transform domain is used for the accurate dynamic analysis of cracked bodies. The fast solution procedure is based on the use of hierarchical matrices for the representation of the collocation matrix for each computed value of the Laplace parameter. An ACA (adaptive cross approximation) algorithm is used for the population of the low rank blocks and its performance at varying Laplace parameters is investigated. A preconditioned GMRES is used for the solution of the resulting algebraic system of equations. The preconditioners are built exploiting the hierarchical arithmetic and taking full advantage of the hierarchical format. An original strategy, based on the computation of some local preconditioners only, is presented and tested to further speed up the overall analysis. The reported numerical results demonstrate the effectiveness of the technique for both uncracked and cracked solids and show significant reductions in terms of both memory storage and computational time. Copyright © 2010 John Wiley & Sons, Ltd.

作 者:Benedetti, I.; Aliabadi, M. H.
期刊名称: International Journal for Numerical Methods in Engineering
期卷页: 2010/11/26 第84卷 第9期 1038~1067页
学科领域:数理科学 » 力学 » 力学中的基本问题和方法
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原文链接:http://onlinelibrary.wiley.com/doi/10.1002/nme.2929/abstract
DOI: 10.1002/nme.2929
ISBN: 1097-0207
关键词: dual boundary element method;
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