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《Journal of Jiangxi Normal University(Natural Science Edition)》 2010-05
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The Finite Element Approximation for Semilinear Parabolic Equation on Anisotropic Meshes

MA Ge1,HUANG Kun2(1.Department of Mathematics,Nanyang Institute of Technology,Nanyang Henan 473004,China;2.Department of Mathematics,Pingdingshan University,Pingdingshan Henan 467000,China)  
The bilinear finite element approximation for semilinear parabolic equations on anisotropic meshes is studied by the finite element method,and the superclose property and superconvergence are obtained.Finally the numerical results are given to verify the theoretical analysis.
【Fund】: 国家自然科学基金(10671184 10971203)资助项目
【CateGory Index】: O241.82
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 WANG Jian(School of Mathematical Science,Anyang Teacher's College,Anyang Henan 455000,China);A Class of Rectangular Nonconforming Element Methods for Variational Inequality Problem[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-03
2 SHI Dong-yang~1,LIANG Hui~2(1.Department of Mathematics,Zhengzhou University,Zhengzhou,450052,P.R.China;2.Department of Mathematics,Harbin Institute of Technology,Harbin 150001,P.R.China);Superconvergence Analysis of Wilson's Element on Anisotropic Meshes[J];Applied Mathematics and Mechanics;2007-01
【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 LIN Jia-fu,LI Qian(School of Science,Beijing Institute of Technology,Beijing100081,China);Superconvergence of the Bernadi-Raugel Mixed Finite Element Approximation for the Three-Dimensional Stokes Problem[J];Journal of Beijing Institute of Technology;2005-12
4 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
5 CHENG Chuan-rui,CHEN Ying(Luohe Vocational and Technical College,Luohe 462002,China);An Inequality in the Error Estimates of Finite Element Method[J];Journal of Changchun Normal University;2007-02
6 SHI Dong-yang1,GUAN Hong-bo2( 1.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China;2.Department of Mathematics and Information,Zhengzhou University of Light Industry,Zhengzhou 450002,China);Nonconforming finite element method for hyperbolic equations with moving grid[J];Pure and Applied Mathematics;2009-01
7 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
8 LI Ling-ling1,LIANG Qing-li2(1.Department of Mathematics & Physics,Pingdingshan Institute of Technology,Pingdingshan 467000,China; 2.Department of Mathematics,Xuchang University,Xuchang 461000,China);Super approximation analysis of nonconforming rotated finite element for second order hyperbolic equation[J];Journal of Pingdingshan Institute of Technology;2007-04
9 LI Zheng,ZHANG Tie,LI Chang-jun(School of Sciences,Northeastern University,Shenyang 110004,China.);Lumped Mass Finite Element Method for Parabolic Problem on Rectangular Mesh[J];Journal of Northeastern University(Natural Science);2008-08
10 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
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
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