ON THE DOMAIN DECOMPOSITION METHOD FOR MORLEYELEMENT-FROM WEAK OVERLAP TO NONOVERLAP

作     者：Jian-guo Huang(Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai 200240,China) 

作者机构：上海交通大学应用数学系 上海 200240 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：1999年第17卷第6期

页      面：615-628页

核心收录：

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

主　　题：Morley element domain decomposition weak overlap 

摘      要：In this paper, following our original ideas[9], we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper s procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.