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《Journal of Baoding University》 2011-03
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The Numerical Experiment of Expansion and Extrapolation of the Eigenvalue Problem on Wilson Element

Zhang Po (Department of Math ematics and Physics,North China Electric Power University,Baoding 071003 ,China)  
The eigenvalue of poisson equation is expanded using wilson noncon -forming element. By the formulation of the error expansion,we can not conclude whether it is a upper bound or a lower bound,but can guess it is a lower bound. By using wilson element to compute the eigenvalue of poisson equation on square domain and then analysising the data,we find that our conjecture is right. we also extraplate the error expansion and enhance the accuracy of the eigenvalue from second order to third order.
【CateGory Index】: O241.6
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 YUAN Jing, HUANG Lin-jing (1. Hebei University, Baoding 071002; 2. Hebei Engineering & Technology Vocational College, China);The Expansion of the Eigenvalue on Bilinear Element[J];Journal of Hebei Engineering Vocational College;2003-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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
2 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
3 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
4 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
5 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
6 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 Finite Element Approximation for Semilinear Parabolic Equation on Anisotropic Meshes[J];Journal of Jiangxi Normal University(Natural Science Edition);2010-05
7 SHI Dong-yang 1,WANG Hui-min 1,2 (1.Deparment of Mathematics,Zhengzhou University,Zhengzhou 450052,China;2.Department of Mathematics and Physics,Henan Institute of Engineering,Zhengzhou 450007,China);Superconvergence analysis and extrapolation of a new mixed finite element model for second order elliptic problem[J];Pure and Applied Mathematics;2009-04
8 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
9 LI Qiu-hong~1,SHI Dong-yang~2(1.Pingdingshan Institute of Techniology,Pingdingshan 467001,China;2.Zhengzhou University,Zhengzhou 450052,China);Super convergence Analysis of second order hyperbolic equations on anisotropic meshes[J];Journal of Pingdingshan Institute of Technology;2006-04
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
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