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.
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页码：195 / 204
页数：10
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