Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains

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	Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains
	Cao, LQ ; Cui, JZ ; Zhu, DC
	2002-07-24
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	40 期号:2 页码:543-577
摘要	The multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains are discussed in this paper. A multiscale asymptotic analysis formulation for this problem is presented by constructing properly the boundary layer. A multiscale numerical algorithm and a postprocessing technique are given. Finally, numerical results show that the method presented in this paper is effective and reliable.
关键词	multiscale asymptotic analysis second order Helmholtz equation rapidly oscillating coefficients finite element method postprocessing technique
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000177261400008
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17466
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, Solid Mech Res Ctr, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Cao, LQ,Cui, JZ,Zhu, DC. Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,40(2):543-577.
APA	Cao, LQ,Cui, JZ,&Zhu, DC.(2002).Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains.SIAM JOURNAL ON NUMERICAL ANALYSIS,40(2),543-577.
MLA	Cao, LQ,et al."Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains".SIAM JOURNAL ON NUMERICAL ANALYSIS 40.2(2002):543-577.