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应用Krylov子空间方法求解边界元方程组
引用本文:王人鹏,沈祖炎.应用Krylov子空间方法求解边界元方程组[J].同济大学学报(自然科学版),1997,25(2):212-217.
作者姓名:王人鹏  沈祖炎
作者单位:同济大学建筑工程系!上海,200092
摘    要:利用Krylov子空间方法,文中给出一种适应于大型边界元方程组求解的实用迭代算法,对二维,三维弹性问题,利用这一迭代算法实现了其方程组求解的迭代过程,并与相关算法做了比较,结果初步显示了所给方法应用于边界元方程组求解的优越性。

关 键 词:Krylov子空间  算法  边界元方法

Solutions of BEM Equations with Krylov Subspace Method
Wang Renpeng, Shen Zuyan, Qian Ruojun.Solutions of BEM Equations with Krylov Subspace Method[J].Journal of Tongji University(Natural Science),1997,25(2):212-217.
Authors:Wang Renpeng  Shen Zuyan  Qian Ruojun
Abstract:An iterative procedure for solving large linear systems of BEMequations based on Krylov subspace method is presented in this paper. We havetested the procedure with BEM equations of two and three dimensional elasticproblems and compared with results of various iterative method. Numericalexperiments indicate that the procedure presented in this paper is efficient foriteratively solving BEM equations.
Keywords:Krylov subspaces  Arnoldi algorithms  GMRES algorithms  BEM  
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