Superconvergence of a New Nonconforming Mixed Finite Element Scheme for Elliptic Problem

被引：7
|
作者：
Pei, Lifang [1 ,2 ]
Shi, Dongyang [2 ]
机构：
[1] Luoyang Inst Sci & Technol, Dept Math & Phys, Luoyang 471003, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
基金：
高等学校博士学科点专项科研基金;
关键词：
16;
D O I：
10.1155/2013/829820
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new nonconforming mixed finite element scheme for the second-order elliptic problem is proposed based on a new mixed variational form. It has the lowest degrees of freedom on rectangular meshes. The superclose property is proven by employing integral identity technique. Then global superconvergence result is derived through interpolation postprocessing operators. At last, some numerical experiments are carried out to verify the theoretical analysis.
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页数：9
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