Posteriori error estimators for the Raviart-Thomas element

被引：127

作者：

Braess, D

Verfurth, R

机构：

[1] Ruhr-Universitat Bochum, Mathematisches Institut, D-44780 Bochum

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1996年 / 33卷 / 06期

关键词：

a posteriori error estimation; Raviart-Thomas element; mesh-dependent norms; mixed formulation of the Poisson equation;

D O I：

10.1137/S0036142994264079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

When error estimators for the Raviart-Thomas element are developed, two difficulties prevent the success of the straightforward application of frequently used arguments. The H(div, Omega)-norm is an anisotropic norm; i.e., it refers to differential operators of different orders. Moreover, the traces of H(div, Omega)-functions are only in H--1/2. Therefore, one does not obtain optimal a posteriori error estimates when using natural norms. This drawback is overcome by using mesh-dependent norms.

引用

页码：2431 / 2444

页数：14

共 17 条

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Ciarlet PG., 1978, The Finite Element Method for Elliptic Problems

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