Finite element analysis of a coupled nonlinear system

被引:0
|
作者
Loula, Abimael F. D. [1 ]
Zhu, Jiang [1 ]
机构
[1] MCT, Lab Nacl Comp Cient, BR-25651070 Petropolis, RJ, Brazil
来源
COMPUTATIONAL & APPLIED MATHEMATICS | 2001年 / 20卷 / 03期
关键词
coupled nonlinear system; existence; uniqueness; regularity; finite element approximations; error estimates;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A coupled nonlinear elliptic system modelling a large class of engineering problems is studied. Existence, uniqueness and regularity of weak solutions are established. Finite element approximations combined with a a fixed point algorithm are proposed and analysed. Numerical results are presented to confirm he estimates and to illustrate the behavior of the solution close to stability limits.
引用
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页码:321 / 339
页数:19
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