A sparse finite element method with high accuracy Part I

被引：16

作者：

Lin, Q

Yan, NN

Zhou, AH

机构：

[1] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

NUMERISCHE MATHEMATIK | 2001年 / 88卷 / 04期

关键词：

D O I：

10.1007/PL00005456

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop and analyze a new finite element method called the sparse finite element method for second order elliptic problems. This method involves much fewer degrees of freedom than the standard finite element method. We show nevertheless that such a sparse finite element method still possesses the superconvergence and other high accuracy properties same as those of the standard finite element method. The main technique in our analysis is the use of some integral identities.

引用

页码：731 / 742

页数：12

共 21 条

[1] EXTRAPOLATION, COMBINATION, AND SPARSE GRID TECHNIQUES FOR ELLIPTIC BOUNDARY-VALUE-PROBLEMS [J].