Superconvergence of least-squares mixed finite element for symmetric elliptic problems

被引：6

作者：

Chen, YP ^{[1
]}

Zhang, MP

机构：

[1] Xiangtan Univ, Dept Math, Hunan, Peoples R China

[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2004年 / 48卷 / 02期

基金：

中国国家自然科学基金;

关键词：

superconvergence; least-squares mixed finite element;

D O I：

10.1016/j.apnum.2003.09.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We formulate a least-squares mixed finite element method over quadrilaterals. The superconvergence result obtaineded between the finite element approximation and our appropriate-chosen interpolation of the exact solution indicates an accuracy of O(h(r+2)) for the least-squares mixed finite element approximation if Raviart-Thomas or Brezzi-Douglas-Fortin-Marini elements of order r are employed with optimal error estimate of O(h(r+1)). Numerical results are included. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：195 / 204

页数：10

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