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《Journal of Beijing Institute of Technology》 2005-12
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Superconvergence of the Bernadi-Raugel Mixed Finite Element Approximation for the Three-Dimensional Stokes Problem

LIN Jia-fu,LI Qian(School of Science,Beijing Institute of Technology,Beijing100081,China)  
Superconvergence of a mixed finite element approximation for the three-dimensional Stokes problem is presented.By using the Bernadi-Raugel mixed finite elements which satisfies the Babuska-Brezzi condition a basic error is gained.Considering the problem on the piecewise uniform cuboid elements in the three-dimensional space,the convergence rate of the solution can be increased an order by using the interpolation and Bramble-Hibert lemma.
【Fund】: 北京理工大学基础科学研究基金项目(200307A22)
【CateGory Index】: O241.82
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LIN Jia-fu, LEI Jun-li(School of Science, Beijing Institute of Technology, Beijing100081, China);The Multi-Parameter Extrapolation of the Hood-Taylor Elements for the Stokes Problem[J];Journal of Beijing Institute of Technology;2004-11
2 LI Cui-zhe, LI Zhi-yan(School of Science, Beijing Institute of Technology, Beijing100081, China);Existence of Solutions of Third-Order p-Laplacian Resonant Multi-Point Boundary Value Problems[J];Journal of Beijing Institute of Technology;2004-11
3 YUAN Jing(School of Mathematics and Physics,North China Electric Power University,Beijing 102206,China);Extrapolation of the Eigenvalue on Bilinear Element[J];Journal of Beijing Union University(Natural Sciences);2006-04
4 LI Ling-ling~1,SHI Dong-yang~2 (1.Pingdingshan Institute of Technology,Pingdingshan 467000,China;2.Zhengzhou University,Zhengzhou 450052,China);Convergence analysis for second order parabolic equation with anisotropic constringency[J];Journal of Pingdingshan Institute of Technology;2006-03
5 SONG Yong-zhi1,FAN Chuan-qiang2(1.School of Mathematics and Science,Xuchang University,Xuchang Henan 461000,P.R.China;2.School of Science,Liaoning University of Petroleum & Chemical Technology,Fushun Liaoning 113001,P.R.China);Research on the Bulk Superconvergence of the R-T Elements Solution to Parabolic Equation[J];Journal of Liaoning University of Petroleum & Chemical Technology;2008-02
6 YANG Yi-du (Central of Network, Guizhou Normal University, Guiyang 550001);A Finite Element Defect Correction Scheme and Lower Bounds for the Eigenvalue[J];Chinese Journal of Engineering Mathematics;2006-01
7 SHI Dong-yang, WANG Hai-hong (Deparment of Mathematics, Zhengzhou University, Zhengzhou 450052);Anisotropic Nonconforming Finite Element Analysis for Integro-differential Equations of Parabolic Type[J];Chinese Journal of Engineering Mathematics;2009-02
8 Chen Zhen Yang Yidu (School of Mathematics and Computer Sciences, Guizhou Normal University, Guiyang 550001);THE GLOBAL STRESS SUPERCONVERGENCE OF WILSON'S BRICK[J];Numerical Mathematics A Journal of Chinese Universities;2005-S1
9 Shi Dongyang (Department of Mathematics,Zhengzhou University,Zhengzhou 450052) Ren Jincheng (Department of Mathematics,Shangqiu Normal University,Shangqiu 476000) Hao Xiaobin (Department of Mathematics,Zhengzhou University,Zhengzhou 450052);HIGHER ACCURACY ANALYSIS FOR THE WILSON ELEMENT TO SOBOLEV TYPE EQUATION ON ANISOTROPIC MESHES[J];Numerical Mathematics A Journal of Chinese Universities;2009-02
10 SHI Dong-yang1,WANG Hai-hong2 (1-Deparment of Mathematics,Zhengzhou University,Zhengzhou 450052; 2-College of Computer and Information Engineering,Henan University of Finance and Economics,Zhengzhou 450002);A New H~1-Galerkin Mixed Finite Element Method for the Hyperbolic Type Integro-differential Equation[J];Chinese Journal of Engineering Mathematics;2009-04
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