A non-conforming domain decomposition for Raviart-Thomas vector fields in three dimensions

doi:10.1360/04za0018

	A non-conforming domain decomposition for Raviart-Thomas vector fields in three dimensions
	Hu, QY
	2004-04-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	47 页码:190-199
摘要	In this paper we are concerned with a domain decomposition method with nonmatching grids for Raviart-Thomas finite elements. In this method, the normal complement of the resulting approximation is not continuous across the interface. To handle such non-conformity, a new matching condition will be introduced. Such matching condition still results in a symmetric and positive definite stiffness matrix. It will be shown that the approximate solution generated by the domain decomposition possesses the optimal energy error estimate.
关键词	domain decomposition nonmatching grids Raviart-Thomas finite elements matching condition error estimate
DOI	10.1360/04za0018
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000222678800019
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19637
专题	计算数学与科学工程计算研究所
通讯作者	Hu, QY
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY. A non-conforming domain decomposition for Raviart-Thomas vector fields in three dimensions[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2004,47:190-199.
APA	Hu, QY.(2004).A non-conforming domain decomposition for Raviart-Thomas vector fields in three dimensions.SCIENCE IN CHINA SERIES A-MATHEMATICS,47,190-199.
MLA	Hu, QY."A non-conforming domain decomposition for Raviart-Thomas vector fields in three dimensions".SCIENCE IN CHINA SERIES A-MATHEMATICS 47(2004):190-199.