Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (4): 627-632.

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A New Proof of Superclose of a Crouzeix-Raviart Type Finite Element for Second Order Elliptic Equation

  

  1. 1.Department of Mathematics,Xinyang Normal University,Xinyang 464000,China;2.Department of Mathematics,Zhengzhou University,ghengzhou 450052,China
  • Received:2007-03-29 Online:2007-12-30 Published:2023-10-24
  • About author: PENG Yu-cheng(1964-), male, native of Xinyang, Henan, an associate professor of Xinyang Normal University, Ph.D., engages in the theory and application of finite element methods.
  • Supported by:
     Supported by the NSF of China(10471133); Supported by the NSF of Henan Province(0611053100); Supported by the NSF of Education Committee of Henan Province(2006110011);

Abstract: In this paper,a new proof of superclose of a Crouzeix-Raviart type finite element is given for second order elliptic boundary value problem by Bramble-Hilbert lemma on anisotropic meshes.


Key words:  Crouzeix-Raviart type finite element, superclose, anisotropic meshes

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