Star-Based a Posteriori Error Estimates for Elliptic Problems

被引：1

作者：

Achchab, B. ^{[1
,2
]}

Agouzal, A. ^{[3
]}

Debit, N. ^{[3
]}

Bouihat, K. ^{[1
,2
]}

机构：

[1] Univ Hassan Ier, LM2CE, Ecole Super Technol Berrechid, Berrechid, Morocco

[2] Univ Hassan Ier, Fac Sci Econ Jurid & Sociales Settat, Berrechid, Morocco

[3] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2014年 / 60卷 / 01期

关键词：

A posteriori error estimator; Nonconforming finite element method; Diffusion reaction equations; Stokes equations; FINITE-ELEMENT APPROXIMATIONS;

D O I：

10.1007/s10915-013-9793-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an a posteriori error estimator for low order nonconforming finite element approximations of diffusion-reaction and Stokes problems, which relies on the solution of local problems on stars. It is proved to be equivalent to the energy error up to a data oscillation, without requiring Helmholtz decomposition of the error nor saturation assumption. Numerical experiments illustrate the good behavior and efficiency of this estimator for generic elliptic problems.

引用

页码：184 / 202

页数：19

共 27 条

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