Projection stabilized nonconforming finite element methods for the stokes problem

被引:1
作者
Achchab, Boujemaa [1 ]
Agouzal, Abdellatif [2 ]
Bouihat, Khalid [1 ]
Majdoubi, Adil [1 ]
Souissi, Ali [3 ]
机构
[1] Univ Hassan 1, Lab Anal & Modeling Syst Decis Support, Dept Math & Comp Engn, High Sch Technol, BP 218, Berrechid 26100, Morocco
[2] Univ Lyon 1, Camille Jordan Inst, Dept Math, UMR 5208, Bldg 1001, F-69622 Villeurbanne, France
[3] Mohammed V Univ, Appl Math Lab, Dept Math, Numer Anal Grp,Fac Sci, 4 Ibn Battouta Ave,POB 1014, Rabat 10090, Morocco
关键词
stokes problem; nonconforming finite elements; stabilization methods; recovery-based a posteriori error estimates; POSTERIORI ERROR ESTIMATORS; GALERKIN APPROXIMATIONS; PENALTY; GUARANTEED; EQUATIONS;
D O I
10.1002/num.22083
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article we study a projection-stabilized nonconforming finite element discretization of the Stokes problem. We present a priori error analysis and give a recovery-based a posteriori error estimator for the considered problem. Numerical results illustrate the theoretical performance of the error estimator. (c) 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 218-240, 2017
引用
收藏
页码:218 / 240
页数:23
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