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AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS
作者姓名:Dong-yangShi  Shi-pengMao  Shao-chunChen
作者单位:DepartmentofMathematics,ZhengzhouUniversity,Zhenzhou450052,China
基金项目:The research is supported by NSF of China(No.10371113),Foundation of Overseas Scholar of China(NO.(2001)119),the project of Creative Engineering of Henan Province of China.
摘    要:The main aim of this paper is to study the error estimates of a nonconforming finite element with some superconvergence results under anisotropic meshes. The anisotropic interpolation error and consistency error estimates are obtained by using some novel approaches and techniques, respectively. Furthermore, the superclose and a superconvergence estimate on the central points of elements are also obtained without the regularity assumption and quasi-uniform assumption requirement on the meshes. Finally, a numerical test is carried out, which coincides with our theoretical analysis.

关 键 词:各向异性网格  不相容有限元法  插值误差  相容估计  超收敛性

AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS
Dong-yangShi Shi-pengMao Shao-chunChen.AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS[J].Journal of Computational Mathematics,2005,23(3):261-274.
Authors:Dong-yang Shi Shi-peng Mao Shao-chun Chen
Abstract:The main aim of this paper is to study the error estimates of a nonconforming finiteelement with some superconvergence results under anisotropic meshes.The anisotropicinterpolation error and consistency error estimates are obtained by using some novel ap-proaches and techniques,respectively.Furthermore,the superclose and a superconvergenceestimate on the central points of elements are also obtained without the regularity assump-tion and quasi-uniform assumption requirement on the meshes.Finally,a numerical testis carried out,which coincides with our theoretical analysis.
Keywords:Anisotropic meshes  Nonconforming finite element  Interpolation error and consistency error estimates  Superclose  Superconvergence    
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