Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 388-393.

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The Energy-orthogonal Tetrahedral Finite Element for Fourth Order Elliptic Equations

  

  1. 1. College of Mathematics and Information Sciences, Henan University  2. Department of Mathematics, Zhengzhou University 

  • Received:2008-10-28 Online:2011-09-30 Published:2023-04-19
  • About author:LIU Ming-fang(1973-), male, native of Xiayi, Henan, an associate professor of Henan University, Ph.D., engages in finite element method and application.
  • Supported by:
    Supported by NSF of China(10771198,10901047);

Abstract: In this paper, the 16-parameter nonconforming tetrahedral element which has an energy-orthogonal shape function space is presented for the discretization of fourth order elliptic partial differential operators in three spatial dimensions. The newly constructed element is proved to be convergent for a model biharmonic equation.

Key words: nonconforming finite element, tree-dimension, fourth order elliptic equation

CLC Number: