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.
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页码：184 / 202
页数：19
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