A simple analysis of some a posteriori error estimates

被引：12

作者：

Bank, RE ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 1998年 / 26卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

finite element methods; adaptive mesh refinement; a posteriori error estimates; hierarchical basis;

D O I：

10.1016/S0168-9274(97)00081-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze two popular classes of a posteriori error estimates within the abstract framework established by Babuska and Aziz (1972). Within this framework, we find that bounds for the a posteriori error estimates depend on several of the same constants as a priori error estimates, notably the famous inf-sup constant. We apply our general theory to some specific finite element approximations for the Poisson equation and Stokes equations. (C) 1998 Elsevier Science B.V.

引用

页码：153 / 164

页数：12

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