HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES

	HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES
	Du, Rui; Ming, Pingbing
	2010-12-01
发表期刊	COMMUNICATIONS IN MATHEMATICAL SCIENCES
ISSN	1539-6746
卷号	8 期号:4 页码:863-885
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.
关键词	Heterogeneous multiscale method finite element method numerical integration schemes elliptic homogenization problems
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000283985000004
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10521
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.