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《Mathematica Numerica Sinica》 2012-02
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A NEW MIXED FINITE ELEMENT SCHEME FOR THE BIHARMONIC EQUATION

Si Hongying (Department of Mathematics,Shangqiu Normal University,Shangqiu 476000,Henan,China) Chen Shaochun (Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China)  
In this paper,a new mixed finite element scheme for solving the biharmonic equation is introduced,in which bilinear and biquadratic elements are used for approximating the vorticity and the stream function,respectively.Under the conditions that rectangulartion is quasi-uniform,it is proved that the scheme has the same order of accuracy as the standard Ciarlet-Raviart scheme using biquadratic finite elements.
【Fund】: 国家自然科学基金(No.11071226)
【CateGory Index】: O241.8
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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
2 Zhong Ting Chen Zong-yan Xiao Xue-ling(Department of Mathematics and information science in Neijiang Normal University,Neijiang,SiChuan,641112,China);A Finite Difference Scheme for A Class of Elliptic Differential Equation with Variable Coefficients[J];Journal of Baoshan University;2010-02
3 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
4 Li Jinliang He Mingyi Cao Xiangrui(College of Electronic Information,Northwestern Polytechnical University,Xi'an 710072);Electronic capacitance tomography based on multiple linear regression and regularization[J];Electronic Measurement Technology;2007-12
5 LIU Liyan,HUANG Gu,WANG Rui(School of Textiles,Tianjin Polytechnic University,Tianjin 300160,China);Finite elemental simulation on tensile process of thermoplastic laminates[J];Journal of Textile Research;2007-11
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8 Duan Huoyuan (Institute of Computational Mathematics and Scientific /Engineering Computing Chinese Academy of Sciences P.O.2719, Beijing 100080);ANALYSIS OF STABILIZED HYBRID FINITE ELEMENTS FOR THE SECOND-ORDER ELLIPTIC PROBLEM[J];NUMERICAL MATHEMATIES A JOURNAL OF CHINESE UNIVERSITIES;2000-01
9 Wang Caihua Wang Tongke(School of Mathematical Science,Tianjin Normal University,Tianjin 300384);EXTENDED LOCALLY ONE-DIMENSIONAL FINITE DIFFERENCE AND FINITE ELEMENT SCHEMES FOR NONHOMOGENEOUS PARABOLIC DIFFERENTIAL EQUATIONS WITH NONHOMOGENEOUS BOUNDARY CONDITIONS[J];Numerical Mathematics a Journal of Chinese Universities;2006-02
10 Yin Li (Department of Mathematics,Zhengzhou University,Zhengzhou,450052/ (Department of Mathematics,Zhengzhou University of Light Industry, Zhengzhou,450003) Sun Huixia (College of Science,Henan University of Technology,Zhengzhou,450052) Chen Shaochun (Department of Mathematics,Zhengzhou University,Zhengzhou,450052);CONVERGENCE ANALYSIS OF THE ROTATED Q_1 ELEMENT ON ANISOTROPIC PARALLELOGRAM MESHES FOR STOKES PROBLEM[J];Numerical Mathematics A Journal of Chinese Universities;2009-01
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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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