Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
	Allegretto, Walter 1; Cao, Liqun2 ; Lin, Yanping 1
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2008-03-01
卷号	20 期号:3 页码:543-576
关键词	homogenization asymptotic expansion parabolic equation with rapidly oscillating coefficients boundary layer finite element method linear system of differential equation with real periodic coefficients
ISSN号	1078-0947
英文摘要	In this paper we discuss initial-boundary problems for second order parabolic equations with rapidly oscillating coefficients in a bounded convex domain. The asymptotic expansions of the solutions for problems with multiple spatial and temporal scales are presented in four different cases. Higher order corrector methods are constructed and associated explicit convergence rates obtained.
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES
WOS记录号	WOS:000252485600004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/6705]
专题	计算数学与科学工程计算研究所
通讯作者	Allegretto, Walter
作者单位	1.Univ Alberta, Dept Math & Stat, Edmonton, AB T6G 2G1, Canada 2.Chinese Acad Sci, Inst Comp Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Allegretto, Walter,Cao, Liqun,Lin, Yanping. Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2008,20(3):543-576.
APA	Allegretto, Walter,Cao, Liqun,&Lin, Yanping.(2008).Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,20(3),543-576.
MLA	Allegretto, Walter,et al."Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 20.3(2008):543-576.