Accuracy analysis of the Adini element for biharmonic equation

被引：3
|
作者：
Luo, P [1 ]
Lin, Q
机构：
[1] Tsing Hua Univ, Dept Comp Sci, Beijing 100084, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2004年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Adini nonconforming element; extrapolation; error expansion; biharmonic equation;
D O I：
10.1007/s10114-004-0317-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the solution of the biharmonic equation using Adini nonconforming finite element, and report new results of the asymptotic error expansions of the interpolation error functionals and nonconforming remainder. These expansions are used to develop two extrapolation formulas and a series of sharp error estimates. Finally, the numerical results have verified the extrapolation theory.
引用
收藏
页码：135 / 146
页数：12
相关论文
共 50 条
12345