EXTRAPOLATION OF THE FINITE ELEMENT METHOD ON GENERAL MESHES

被引：0
|
作者：
Lin, Qun [1 ]
Xie, Hehu [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2013年 / 10卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Extrapolation; finite element method; general meshes; POSTERIORI ERROR ESTIMATORS; SUPERCONVERGENCE; EXPANSION; GRIDS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the extrapolation method for second order elliptic problems on general meshes and derive a type of finite element expansion which is dependent of the triangulation. It allows to prove the effectiveness of the extrapolation on general meshes and also validates the extrapolation method can be applied on the automatically produced meshes of the general computing domains. Some numerical examples are given to illustrate the theoretical analysis.
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页码：139 / 153
页数：15
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