Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains

doi:10.1016/S0377-0427(03)00372-8

	Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains
	Cao, LQ ; Cui, JZ ; Luo, JL
刊名	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
	2003-08-01
卷号	157 期号:1 页码:1-29
关键词	multiscale asymptotic analysis second-order elliptic type equation highly oscillatory coefficient finite element method post-processing technique
ISSN号	0377-0427
DOI	10.1016/S0377-0427(03)00372-8
英文摘要	In this paper, we consider the boundary value problem of second-order elliptic type equation with highly oscillatory coefficients over general Lipschitz convex domains, and obtain the multiscale asymptotic expansion of solution for this kind of problem. At the same time, a high accuracy FE computing scheme and a post-processing technique are presented. Finally, numerical results support strongly the theoretical analysis reported in this paper. (C) 2003 Elsevier B.V. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000184519400001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/18388]
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, LQ
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Beijing Univ Aeronaut & Astronaut, Sch Sci, Dept Appl Phys, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Cao, LQ,Cui, JZ,Luo, JL. Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2003,157(1):1-29.
APA	Cao, LQ,Cui, JZ,&Luo, JL.(2003).Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,157(1),1-29.
MLA	Cao, LQ,et al."Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 157.1(2003):1-29.