Robust hierarchical a posteriori error estimators for stabilized convection-diffusion problems

被引：8
作者：
Achchab, B. [1 ,2 ,3 ]
Agouzal, A. [4 ,5 ,6 ,7 ]
El Fatini, M. [1 ,2 ,3 ]
Souissi, A. [8 ,9 ]
机构：
[1] Univ Hassan 1Er, LM2CE, Berrechid, Morocco
[2] LAMSAD, FSJES, Berrechid, Morocco
[3] ESTB, Berrechid, Morocco
[4] Univ Lyon, F-69622 Villeurbanne, France
[5] CNRS, F-69622 Villeurbanne, France
[6] Univ Lyon 1, F-69622 Villeurbanne, France
[7] Inst Camille Jordan, F-69622 Villeurbanne, France
[8] Univ Mohammed V Agdal, GAN, LMA, FSR, Rabat, Morocco
[9] Univ Mohammed V Agdal, LERMA, EMI, Rabat, Morocco
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 28卷 / 05期
关键词：
convection-diffusion; hierarchial spaces; robust a posteriori estimator; saturation assumption; stabilized methods; GALERKIN APPROXIMATIONS; DATA OSCILLATION; FORMULATIONS; BUBBLES;
D O I：
10.1002/num.21696
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a hierarchical a posteriori error estimator for a stabilized finite element discretization of convection-diffusion equations with height Peclet number. The error estimator is derived without the saturation assumption and without any comparison with the classical residual estimator. Besides, it is robust, such that the equivalence between the norm of the exact error and the error estimator is independent of the meshsize or the diffusivity parameter. (c) 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2012
引用
收藏
页码：1717 / 1728
页数：12
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