CONVERGENCE OF THE HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH NONSMOOTH MICROSTRUCTURES

doi:10.1137/090780754

	CONVERGENCE OF THE HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH NONSMOOTH MICROSTRUCTURES
	Du, Rui; Ming, Pingbing
	2010
发表期刊	MULTISCALE MODELING & SIMULATION
ISSN	1540-3459
卷号	8 期号:5 页码:1770-1783
摘要	We propose a condition under which the heterogeneous multiscale finite element method converges for elliptic problems with nonsmooth coefficients, and we obtain the optimal convergence rate for elliptic problems with nonsymmetric periodic coefficients that allow for nonsmooth microstructures.
关键词	heterogeneous multiscale method H-convergence convergence rate
DOI	10.1137/090780754
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 ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000285509300009
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/9759
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. CONVERGENCE OF THE HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH NONSMOOTH MICROSTRUCTURES[J]. MULTISCALE MODELING & SIMULATION,2010,8(5):1770-1783.
APA	Du, Rui,&Ming, Pingbing.(2010).CONVERGENCE OF THE HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH NONSMOOTH MICROSTRUCTURES.MULTISCALE MODELING & SIMULATION,8(5),1770-1783.
MLA	Du, Rui,et al."CONVERGENCE OF THE HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH NONSMOOTH MICROSTRUCTURES".MULTISCALE MODELING & SIMULATION 8.5(2010):1770-1783.