利用自然边界归化求解平面弹性方程外边值问题的SCHWARZ算法

作     者：郑权 余德浩 Zheng Quan;Yu Dehao

作者机构：100041 100081 中科院计算数学与科学工程计算研究所科学与工程计算国家重点实验室!北京 北方工业大学基础科学院!北京 

出 版 物：《高等学校计算数学学报》 (Numerical Mathematics A Journal of Chinese Universities)

年 卷 期：2000年第22卷第3期

页      面：222-231页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：国家自然科学基金 国家攀登计划资助 

主　　题：Plane elasticity equation overlapping domain decomposition natural boundary reduction 

摘      要：In this paper, an overlapping domain decomposition method for solvingthe exterior boundary value problem of plane elasticity equation by using naturalboundary reduction is discussed. This method is effective especially for problems overunbounded domains. The geometric convergency is proved. The theoretical results aswell as the numerical examples show that the convergence rate of this discreteSchwarz iteration is independent of the finite element mesh size, but dependent onthe frequency of the exact solution and the overlapping degree of subdomains.