静电问题的相似剖分有限元方法  

FEM with Similarity Discretization for Solving Electrostatic Field Problems

作　　者：董兴其[1] 安同一[1] 

机构地区：[1]华东师范大学微波研究所,上海200062

出　　处：《微波学报》1996年第1期15-21,共7页Journal of Microwaves

摘　　要：本文提出相似剖分有限元方法,对其基本思想和求解过程进行了详细的介绍,将原来有限元法同时求出区域内节点电位置的计算过程,改变为按层逐步递推计算,使形成的刚度矩阵的阶数大大降低,在减少计算时间和计算机存贮量方面均优于常规的有限元方法.A new finite element method -----similarity discretization FEM, for electrostaticproblems is presented in this paper. The computing process of the potential distribution obtained simultaneously in the conventional FEM is replaced by a 'step by step' recurrence relation. Only some small stiffness matrices are needed to deal with. So the computer memory and CPU time are reduced significantly.

关 键 词：静电 有限元法 电磁学 

分 类 号：O441.1[理学—电磁学]