AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV EQUATIONS  

作　　者：Dongyang Shi Haihong Wang Yuepeng Du 

机构地区：[1]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China [2]Department of Computer, Nanyang Institute of Technology, Nanyang 473004, China

出　　处：《Journal of Computational Mathematics》2009年第2期299-314,共16页计算数学（英文）

基　　金：supported by the National Natural Science Foundation of China No.10671184

摘　　要：An anisotropic nonconforming finite element method is presented for a class of nonlinear Sobolev equations. The optimal error estimates and supercloseness are obtained for both semi-discrete and fully-discrete approximate schemes, which are the same as the traditional finite element methods. In addition, the global superconvergence is derived through the postprocessing technique. Numerical experiments are included to illustrate the feasibility of the proposed method.An anisotropic nonconforming finite element method is presented for a class of nonlinear Sobolev equations. The optimal error estimates and supercloseness are obtained for both semi-discrete and fully-discrete approximate schemes, which are the same as the traditional finite element methods. In addition, the global superconvergence is derived through the postprocessing technique. Numerical experiments are included to illustrate the feasibility of the proposed method.

关 键 词：Nonlinear Sobolev equations ANISOTROPIC Nonconforming finite element SUPERCLOSENESS Global superconvergence. 

分 类 号：O175.25[理学—数学] O241.82[理学—基础数学]