Domain decomposition methods for mortar finite element discretizations of plate problems

被引：15

作者：

Marcinkowski, L ^{[1
]}

机构：

[1] Warsaw Univ, Dept Math, PL-02097 Warsaw, Poland

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2001年 / 39卷 / 04期

关键词：

plate problem; mortar finite element method; domain decomposition; additive Schwarz method;

D O I：

10.1137/S0036142900371192

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Mortar finite element methods for clamped plate problems are discussed. In the subdomains conforming the reduced Hsieh-Clough-Tocher (HCT) macroelement defined on nonmatching triangulations is utilized. Two additive Schwarz methods for solving the system of linear equations arising from this discretization are designed and analyzed. The condition numbers of the preconditioned systems are almost optimal; i.e., they are independent of the number of subdomains and grow only logarithmically with respect to the mesh parameters.

引用

页码：1097 / 1114

页数：18

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