A two-level additive Schwarz preconditioner for nonconforming plate elements

被引：51
|
作者：
Brenner, SC
机构：
[1] Department of Mathematics, University of South Carolina, Columbia
来源：
NUMERISCHE MATHEMATIK | 1996年 / 72卷 / 04期
关键词：
D O I：
10.1007/s002110050176
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A two-level additive Schwarz preconditioner is developed for the systems resulting from the discretizations of the plate bending problem by the Morley finite element, the Fraeijs de Veubeke finite element, the Zienkiewicz finite element and the Adini finite element. The condition numbers of the preconditioned systems are shown to be bounded independent of mesh sizes and the number of subdomains in the case of a generous overlap.
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页码：419 / 447
页数：29
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