High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations

被引：84

作者：

Shi, Dongyang ^{[1
]}

Zhang, Yadong ^{[2
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

[2] Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期

关键词：

Sobolev equations; Nonconforming mixed finite element; New mixed variational form; Superclose and superconvergence;

D O I：

10.1016/j.amc.2011.08.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonconforming mixed finite element scheme is proposed for Sobolev equations based on a new mixed variational form under semi-discrete and Euler fully-discrete schemes. The corresponding optimal convergence error estimates and superclose property are obtained without using Ritz projection, which are the same as the traditional mixed finite elements. Furthemore, the global superconvergence is obtained through interpolation postprocessing technique. The numerical results show the validity of the theoretical analysis. (c) 2011 Elsevier Inc. All rights reserved.

引用

页码：3176 / 3186

页数：11

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