Anisotropic rectangular nonconforming finite element analysis for Sobolev equations

被引：0

作者：

石东洋

王海红

郭城

机构：

[1] DepartmentofMathematics,ZhengzhouUniversity

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2008年 / 09期

关键词：

nonconforming element; anisotropy; Sobolev equations; error estimates; superconvergence;

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

070102 ;

摘要：

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.

引用

页码：1203 / 1214

页数：12

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