A finite element method for elliptic problems with rapidly oscillating coefficients

doi:10.1007/s10543-007-0117-0

	A finite element method for elliptic problems with rapidly oscillating coefficients
	He, Wen-Ming ; Cui, Jun-Zhi
	2007-03-01
发表期刊	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
卷号	47 期号:1 页码:77-102
摘要	In this paper, we consider solving second-order elliptic problems with rapidly oscillating coefficients. Under the assumption that the oscillating coefficients are periodic, on the basis of classical homogenization theory, we present a finite element method whose key is to combine a numerical approximation of the 1-order approximate solution of those equations and a numerical approximation of the classical boundary corrector of those equations from different meshes exploiting the need for different levels of resolution. Numerical experiments are included to illustrate the competitive behavior of the proposed finite element method.
关键词	second-order elliptic equations with rapidly oscillating coefficients homogenization theory finite element method
DOI	10.1007/s10543-007-0117-0
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000244887900005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4812
专题	计算数学与科学工程计算研究所
通讯作者	He, Wen-Ming
作者单位	1.Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	He, Wen-Ming,Cui, Jun-Zhi. A finite element method for elliptic problems with rapidly oscillating coefficients[J]. BIT NUMERICAL MATHEMATICS,2007,47(1):77-102.
APA	He, Wen-Ming,&Cui, Jun-Zhi.(2007).A finite element method for elliptic problems with rapidly oscillating coefficients.BIT NUMERICAL MATHEMATICS,47(1),77-102.
MLA	He, Wen-Ming,et al."A finite element method for elliptic problems with rapidly oscillating coefficients".BIT NUMERICAL MATHEMATICS 47.1(2007):77-102.