An $H^{1}$-Galerkin Nonconforming Mixed Finite Element Method for Integro-Differential Equation of Parabolic Type
Received:September 24, 2007  Revised:March 16, 2008
Key Word: $H^{1}$-Galerkin mixed method   integro-differential equation of parabolic type   nonconforming   semi-discrete scheme   full discrete scheme   error estimates.  
Fund ProjectL:the National Natural Science Foundation of China (Nos.10671184; 10371113).
Author NameAffiliation
SHI Dong Yang Department of Mathematics, Zhengzhou University, Henan 450052, China 
WANG Hai Hong Department of Mathematics and Information Science, Zhengzhou University, Henan 450002 
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Abstract:
      $H^{1}$-Galerkin nonconforming mixed finite element methods are analyzed for integro-differential equation of parabolic type. By use of the typical characteristic of the elements, we obtain that the Galerkin mixed approximations have the same rates of convergence as in the classical mixed method, but without LBB stability condition.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.05.013
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