Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods

	Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods
	Hu, Qiya
	2008-11-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	1 期号:4 页码:383-409
摘要	A class of normal-like derivatives for functions with low regularity defined on Lipschitz domains are introduced and studied. It is shown that the new normal-like derivatives, which are called the generalized normal derivatives, preserve the major properties of the existing standard normal derivatives. The generalized normal derivatives are then applied to analyze the convergence of domain decomposition methods (DDMs) with nonmatching grids and discontinuous Galerkin (DG) methods for second-order elliptic problems. The approximate solutions generated by these methods still possess the optimal energy-norm error estimates, even if the exact solutions to the underlying elliptic problems admit very low regularities.
关键词	Green's formula generalized normal derivative domain decomposition nonmathing grids discontinuous Galerkin error estimates
语种	英语
资助项目	Natural Science Foundation of China[G10531080] ; Natural Science Foundation of China[G10771178] ; National Basic Research Program of China[2005CB321702]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000207474100002
出版者	GLOBAL SCIENCE 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/6509
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Qiya
作者单位	Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, Qiya. Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2008,1(4):383-409.
APA	Hu, Qiya.(2008).Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,1(4),383-409.
MLA	Hu, Qiya."Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 1.4(2008):383-409.