Some observations on Babuska and Brezzi theories

被引：137

作者：

Xu, JC ^{[1
]}

Zikatanov, L ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

NUMERISCHE MATHEMATIK | 2003年 / 94卷 / 01期

关键词：

Mathematics Subject Classification (1991): 65N30;

D O I：

10.1007/s002110100308

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some observations are made on abstract error estimates for Galerkin approximations based on Babugka-Brezzi conditions. A basic error estimate due to Babuska is sharpened by means of an identity that \\P\\ = \\I - P\\ for any nontrivial idempotent operator P. Some remarks are also made on the Brezzi's theory for mixed variational problems and their Galerkin approximations.

引用

页码：195 / 202

页数：8

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