Superconvergence in high-order Galerkin finite element methods

被引：16
|
作者：
Qun, Lin [1 ]
Junming, Zhou
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Hebei Univ Technol, Sch Sci, Hebei 300130, Peoples R China
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2007年 / 196卷 / 37-40期
关键词：
superconvergence; Integral identities; locally symmetric meshes; elliptic equations of second order;
D O I：
10.1016/j.cma.2006.10.027
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we shall use local estimates to give the superconvergence of high-order Galerkin finite element method for the elliptic equation of second order with constant coefficients by using the symmetric technique and integral identity. We get improved superconvergence on the inner locally symmetric mesh with respect to a point x(o) for rectangular and triangular meshes. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：3779 / 3784
页数：6
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