A Remark on Ciarlet-Raviart Mixed Finite Element Method
Received:February 24, 1996  
Key Words: mixed finite element   Ciarlet-Raviart scheme.  
Fund Project:This work was supported by National Natural Science Foundation of China and Science Foundation of The Hongkong Polytechnic University.
Author NameAffiliation
Yang Yidu Dept. of Math.
Guizhou Normal University
Guiyang 550001 
Shih Tsi-Min Dept. of Appl. Math.
The Hong Kong Polytechnic University 
Liem Chin-Bo Dept. of Appl. Math.
The Hong Kong Polytechnic University 
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Abstract:
      In this paper, a variant of Ciarlet-Raviart mixed finite element scheme for solving the biharmonic equation is introduced, in which linear and quadratic elements are used for approximating the vorticity -△φ and the stream function φ, respectively.Under the conditions that triangulation is quasi-uniform, it is proved that the scheme has the same order of accuracy as the standard Ciarlet-Raviart scheme using quadratic finite elements.
Citation:
DOI:10.3770/j.issn:1000-341X.1999.01.005
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