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

	Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
	Allegretto, Walter 1; Cao, Liqun2 ; Lin, Yanping 1
	2008-03-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	20 期号:3 页码:543-576
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.
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
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000252485600004
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6706
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.