The Babuska-Brezzi condition and the patch test: An example

被引：43

作者：

Babuska, I ^{[1
]}

Narasimhan, R ^{[1
]}

机构：

[1] ST PETERS COLL,DEPT MATH,JERSEY CITY,NJ 07306

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1997年 / 140卷 / 1-2期

关键词：

D O I：

10.1016/S0045-7825(96)01058-4

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper discusses an example of a mixed finite element method in one dimension which satisfies the engineering patch test, but does not satisfy a uniform inf-sup condition. The inf-sup constant for this method is shown to be of order h(2). The reasons for good results from benchmark problems for this method are addressed by characterizing the nature of input data for which the method performs well. Numerical results illustrating the effect of the non-uniform inf-sup condition are presented.

引用

页码：183 / 199

页数：17

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