Interpolation theory of anisotropic finite elements and applications

被引：5

作者：

Chen ShaoChun ^{[1
]}

Xiao LiuChao ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 08期

基金：

中国国家自然科学基金;

关键词：

interpolation theory; anisotropic finite elements; Newton's formula; divided difference;

D O I：

10.1007/s11425-008-0107-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Interpolation theory is the foundation of finite element methods. In this paper, after reviewing some existed interpolation theorems of anisotropic finite element methods, we present a new way to analyse the interpolation error of anisotropic elements based on Newton's formula of polynomial interpolation as well as its applications.

引用

页码：1361 / 1375

页数：15

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