HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES

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

	HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES
	Du, Rui; Ming, Pingbing
刊名	COMMUNICATIONS IN MATHEMATICAL SCIENCES
	2010-12-01
卷号	8 期号:4 页码:863-885
关键词	Heterogeneous multiscale method finite element method numerical integration schemes elliptic homogenization problems
ISSN号	1539-6746
英文摘要	In this paper we introduce two novel numerical integration schemes within the framework of the heterogeneous multiscale method (HMM), when the finite element method is used as the macroscopic solver, to resolve the elliptic problem with a multiscale coefficient. For non-self-adjoint elliptic problems, optimal convergence rate is proved for the proposed methods, which naturally yields a new strategy for refining the macro-micro meshes and a criterion for determining the size of the microcell. Numerical results following this strategy show that the new methods significantly reduce the computational cost without loss of accuracy.
资助项目	National Natural Science Foundation of China[10871197] ; National Natural Science Foundation of China[10932011] ; National Basic Research Program[2005CB321704]
WOS研究方向	Mathematics
语种	英语
出版者	INT PRESS BOSTON, INC
WOS记录号	WOS:000283985000004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/10520]
专题	计算数学与科学工程计算研究所
通讯作者	Du, Rui
作者单位	Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Du, Rui,Ming, Pingbing. HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2010,8(4):863-885.
APA	Du, Rui,&Ming, Pingbing.(2010).HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES.COMMUNICATIONS IN MATHEMATICAL SCIENCES,8(4),863-885.
MLA	Du, Rui,et al."HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES".COMMUNICATIONS IN MATHEMATICAL SCIENCES 8.4(2010):863-885.