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《Journal of Pingdingshan Institute of Technology》 2006-03
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Convergence analysis for second order parabolic equation with anisotropic constringency

LI Ling-ling~1,SHI Dong-yang~2 (1.Pingdingshan Institute of Technology,Pingdingshan 467000,China;2.Zhengzhou University,Zhengzhou 450052,China)  
In this paper,anisotropic nonconforming rectangular finite element approximation to the second order parabolic equations is studied.The optimal error estimate same as the traditional finite element methods is obtained by use of the special properties of the element and some novel techniques.
【Fund】: 国家自然科学基金资助项目(10371113)
【CateGory Index】: O241.82
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Shi Dongyang (Department of Mathematics, Zhengzhou University, Zhengzhou 450002, China) Liang Hui (Department of Mathematics, Zhengzhou University, Zhengzhou 450002, China; School of Science, Harbin Institute of Technology, Harbin 150001, China);SUPERCONVERGENCE ANALYSIS AND EXTRAPOLATION OF A NEW UNCONVENTIONAL HERMITE-TYPE ANISOTROPIC RECTANGULAR ELEMENT[J];Mathematica Numerica Sinica;2005-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Fei-ran (Department of Mathematics,Shangqiu Teachers College,Shangqiu 476000,China);Lumped mass finite element method for fourth order nonsationary elliptic equation on rectangular mesh[J];Journal of Anhui University(Natural Sciences Edition);2011-01
2 WANG Jian,CUI Qun-fa(School of Mathematics and Statistics,Anyang Normal College,Anyang455002,China);Rectangular nonconforming finite element method for a class of nonstationary equations[J];Journal of Anhui University(Natural Science Edition);2011-02
3 ZHOU Jia-quan1,SHI Dong-wei2,ZHANG Yong-sheng1(1.Department of Mathematics and Physics,Luoyang Institute of Technology,Luoyang 471023,China; 2.Department of Mathematics,Henan Institute of Science and Technology,Xinxiang 453003,China);An H~1-Galerkin nonconforming mixed finite element method of Schrdinger equation[J];Journal of Anhui University(Natural Science Edition);2012-01
4 ZOU Hui-jin(School of Mathematics,Hefei University of Technology,Hefei 230009,China);Convergence Analysis for Interracial and Differential Equation with Anisotropic Finite Element[J];Journal of Anqing Teachers College(Natural Science Edition);2010-03
5 Zhang Po (Department of Math ematics and Physics,North China Electric Power University,Baoding 071003 ,China);The Numerical Experiment of Expansion and Extrapolation of the Eigenvalue Problem on Wilson Element[J];Journal of Baoding University;2011-03
6 ZHU Shengzhi(School of Science,Beijing Jiaotong University,Beijing 100044,China);Superconvergence of Bernardi-Raugel mixed finite element approximation for Stokes problem on anisotropic meshes[J];Journal of Beijing Jiaotong University;2011-06
7 HUA Dong-ying,QIU Jing-liang(School of Applied Sciences,Beijing Information Science and Technology University,Beijing 100192,China);Computing the ground state solution of Bose-Einstein condensations by finite element method[J];Journal of Beijing Information Science & Technology University;2011-06
8 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
9 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
10 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
China Proceedings of conference Full-text Database 2 Hits
1 ZHOU Xiao-jun (School of Mathematics and Computer Science, Cuizhou Normal University, Cuiyang 550001, China);A Two-Grid Paraellel Gauss-Seidel Iterative Algorithm Based on PVM System[A];[C];2006
2 R.Hiptmair Sonderforschungsbereich 382,Universitat Tubingen, D-72076 Tubingen, Germany;Finite elements in computational electromagnetism[A];[C];2003
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