Edge residuals dominate A posteriori error estimates for low order finite element methods

被引：136

作者：

Carsten, C

Verfürth, R

机构：

[1] Univ Kiel, Math Seminar, D-24098 Kiel, Germany

[2] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1999年 / 36卷 / 05期

关键词：

a posteriori error estimators; edge residuals; low order finite elements;

D O I：

10.1137/S003614299732334X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that, up to higher order perturbation terms, edge residuals yield global upper and local lower bounds on the error of linear finite element methods both in H-1- and L-2-norms. We present two proofs: one uses the standard L-2-projection and the other relies on a new, weighted Clement-type interpolation operator.

引用

页码：1571 / 1587

页数：17

共 12 条

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Adams A, 2003, SOBOLEV SPACES

[2] A FEEDBACK FINITE-ELEMENT METHOD WITH A POSTERIORI ERROR ESTIMATION .1. THE FINITE-ELEMENT METHOD AND SOME BASIC PROPERTIES OF THE A POSTERIORI ERROR ESTIMATOR [J].