Finite element approximations for Schrodinger equations with applications to electronic structure computations

	Finite element approximations for Schrodinger equations with applications to electronic structure computations
	Gong, Xin-Gao 1; Shen, Lihua 2; Zhang, Dier 1; Zhou, Aihui3
	2008-05-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	26 期号:3 页码:310-323
摘要	In this paper, both the standard finite element discretization and a two-scale finite element discretization for Schrodinger equations are studied. The numerical analysis is based on the regularity that is also obtained in this paper for the Schrodinger equations. Very satisfying applications to electronic structure computations are provided, too.
关键词	error analysis finite element eigenvalue quantum chemistry Schrodinger equation two-scale
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000256648500005
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/5612
专题	计算数学与科学工程计算研究所
通讯作者	Gong, Xin-Gao
作者单位	1.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China 2.Capital Normal Univ, Dept Math, Inst Math & Interdisciplinary Sci, Beijing 100037, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Gong, Xin-Gao,Shen, Lihua,Zhang, Dier,et al. Finite element approximations for Schrodinger equations with applications to electronic structure computations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2008,26(3):310-323.
APA	Gong, Xin-Gao,Shen, Lihua,Zhang, Dier,&Zhou, Aihui.(2008).Finite element approximations for Schrodinger equations with applications to electronic structure computations.JOURNAL OF COMPUTATIONAL MATHEMATICS,26(3),310-323.
MLA	Gong, Xin-Gao,et al."Finite element approximations for Schrodinger equations with applications to electronic structure computations".JOURNAL OF COMPUTATIONAL MATHEMATICS 26.3(2008):310-323.