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Anisotropic rectangular nonconforming finite element analysis for Sobolev equations
Authors:Dong-yang Shi  Hai-hong Wang  Cheng Guo
Institution:Department of Mathematics,Zhengzhou University,Zhengzhou 450052,P.R.China
Abstract:An anisotropic rectangular nonconforming finite element method for solving the Sobolev equations is discussed under semi-discrete and full discrete schemes.The corresponding optimal convergence error estimates and superclose property are derived,which are the same as the traditional conforming finite elements.Furthermore,the global superconvergence is obtained using a post-processing technique.The numerical results show the validity of the theoretical analysis.
Keywords:nonconforming element  anisotropy  Sobolev equations  error estimates  superconvergence
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