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Superconvergence analysis of lower order anisotropic finite element
作者姓名:朱国庆  石东洋  陈绍春
作者单位:Department of Mathematics Zhengzhou University Zhengzhou 450052,P.R.China,Department of Mathematics Zhengzhou University,Zhengzhou 450052,P.R.China,Department of Mathematics Zhengzhou University,Zhengzhou 450052,P.R.China
摘    要:The convergence analysis of the lower order nonconforming element pro- posed by Park and Sheen is applied to the second-order elliptic problem under anisotropic meshes.The corresponding error estimation is obtained.Moreover,by using the interpo- lation postprocessing technique,a global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is derived.Numerical results are also given to verify the theoretical analysis.

关 键 词:非一致性有限元  各向异性  误差估计  插值  超收敛分析
收稿时间:12 October 2006
修稿时间:2006-10-122007-06-11

Superconvergence analysis of lower order anisotropic finite element
Zhu Guo-qing,Shi Dong-yang,Chen Shao-chun.Superconvergence analysis of lower order anisotropic finite element[J].Applied Mathematics and Mechanics(English Edition),2007,28(8):1119-1130.
Authors:Zhu Guo-qing  Shi Dong-yang  Chen Shao-chun
Institution:Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China
Abstract:The convergence analysis of the lower order nonconforming element pro- posed by Park and Sheen is applied to the second-order elliptic problem under anisotropic meshes.The corresponding error estimation is obtained.Moreover,by using the interpo- lation postprocessing technique,a global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is derived.Numerical results are also given to verify the theoretical analysis.
Keywords:nonconforming finite element  anisotropic  error estimate  interpolation postprocessing  superconvergence
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