Asymptotic exactness of an a posteriori error estimator based on the equilibrated residual method

被引：8

作者：

Maxim, Andrei ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

NUMERISCHE MATHEMATIK | 2007年 / 106卷 / 02期

关键词：

Primary 65N30;

D O I：

10.1007/s00211-007-0064-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze an a posteriori error estimator based on the equilibrated residual method. We prove that this estimator is asymptotically exact in the energy norm for regular solutions and O(h(1+alpha)) (alpha > 0) meshes. Numerical examples are included to illustrate the theoretical results.

引用

页码：225 / 253

页数：29

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