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

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	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
	2003-08-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	157 期号:1 页码:1-29
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.
关键词	multiscale asymptotic analysis second-order elliptic type equation highly oscillatory coefficient finite element method post-processing technique
DOI	10.1016/S0377-0427(03)00372-8
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000184519400001
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18389
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.