Three-scale finite element discretizations for quantum eigenvalue problems

doi:10.1137/06067780X

	Three-scale finite element discretizations for quantum eigenvalue problems
	Dai, Xiaoying1,2 ; Zhou, Aihui1
	2008
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	46 期号:1 页码:295-324
摘要	Based on globally and locally coupled discretizations, some three-scale finite element schemes are proposed in this paper for a class of quantum eigenvalue problems. It is shown that the solution of a quantum eigenvalue problem on a fine grid may be reduced to the solution of an eigenvalue problem on a relatively coarse grid, and the solutions of linear algebraic systems on a globally mesoscopic grid and the locally fine grid, and the resulting solution is still very satisfactory.
关键词	eigenvalue finite element ground state energy local computation three-scale quantum chemistry
DOI	10.1137/06067780X
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000253017100013
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/5875
专题	计算数学与科学工程计算研究所
通讯作者	Dai, Xiaoying
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, LSEC, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Dai, Xiaoying,Zhou, Aihui. Three-scale finite element discretizations for quantum eigenvalue problems[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2008,46(1):295-324.
APA	Dai, Xiaoying,&Zhou, Aihui.(2008).Three-scale finite element discretizations for quantum eigenvalue problems.SIAM JOURNAL ON NUMERICAL ANALYSIS,46(1),295-324.
MLA	Dai, Xiaoying,et al."Three-scale finite element discretizations for quantum eigenvalue problems".SIAM JOURNAL ON NUMERICAL ANALYSIS 46.1(2008):295-324.