A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions

doi:10.1016/j.jmaa.2007.01.085

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	A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions
	He, Wen-Ming ; Cui, Jun-Zhi
	2007-11-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	335 期号:1 页码:657-668
摘要	In this paper, we consider second order elliptic problems with rapidly oscillating coefficients. On basis of [O.A. Oleinik, A.S. Shamaev, G.A. Yosifian, Mathematical Problems in Elasticity and Homogenization, North-Holland, Amsterdam, 1992; Wen-ming He, Jun-zhi Cui, A pointwise estimate on the 1-order approximation of G(x0)(epsilon), IMA J. Appl. Math. 70 (2005) 241-269] we propose a new approximate method to solve these problems. Of course, we present its error estimate. (c) 2007 Elsevier Inc. All rights reserved.
关键词	the method of multiscale asymptotic expansions second order elliptic equations with rapidly oscillating coefficients error estimate
DOI	10.1016/j.jmaa.2007.01.085
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000248445800046
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4602
专题	中国科学院数学与系统科学研究院
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 new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,335(1):657-668.
APA	He, Wen-Ming,&Cui, Jun-Zhi.(2007).A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,335(1),657-668.
MLA	He, Wen-Ming,et al."A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 335.1(2007):657-668.