Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model

doi:10.1002/mma.1292

	Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model
	Chen, Huajie 1,2; Gong, Xingao 3; Zhou, Aihui1
	2010-09-30
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	33 期号:14 页码:1723-1742
摘要	In this paper, we study numerical approximations of a nonlinear eigenvalue problem and consider applications to a density functional model. We prove the convergence of numerical approximations. In particular, we establish several upper bounds of approximation errors and report some numerical results of finite element electronic structure calculations that support our theory. Copyright (C) 2010 John Wiley & Sons, Ltd.
关键词	eigenvalue Galerkin discretization nonlinear numerical approximation density functional orbital-free
DOI	10.1002/mma.1292
语种	英语
资助项目	National Science Foundation of China[10871198] ; National Science Foundation of China[10971059] ; National Basic Research Program of China[2005C8321704] ; National High-Tech Development Program of China[2009AA01A134]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000281594800007
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10969
专题	计算数学与科学工程计算研究所
通讯作者	Zhou, Aihui
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China 3.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Chen, Huajie,Gong, Xingao,Zhou, Aihui. Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2010,33(14):1723-1742.
APA	Chen, Huajie,Gong, Xingao,&Zhou, Aihui.(2010).Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,33(14),1723-1742.
MLA	Chen, Huajie,et al."Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 33.14(2010):1723-1742.