Finite element approximations of nonlinear eigenvalue problems in quantum physics

doi:10.1016/j.cma.2011.02.008

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Finite element approximations of nonlinear eigenvalue problems in quantum physics
	Chen, Huajie; He, Lianhua; Zhou, Aihui
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	2011
卷号	200 期号:21-22 页码:1846-1865
关键词	Adaptive computation Convergence Complexity Density functional theory Finite element Nonlinear eigenvalue problem
ISSN号	0045-7825
DOI	10.1016/j.cma.2011.02.008
英文摘要	In this paper, we study finite element approximations of a class of nonlinear eigenvalue problems arising from quantum physics. We derive both a priori and a posteriori finite element error estimates and obtain optimal convergence rates for both linear and quadratic finite element approximations. In particular, we analyze the convergence and complexity of an adaptive finite element method. In our analysis, we utilize certain relationship between the finite element eigenvalue problem and the associated finite element boundary value approximations. We also present several numerical examples in quantum physics that support our theory. (C) 2011 Elsevier B.V. All rights reserved.
资助项目	Funds for Creative Research Groups of China[11021101] ; National Basic Research Program of China[2011CB309703] ; National High Technology Research and Development Program of China[2009AA01A134] ; National Science Foundation of China[10871198] ; National Science Foundation of China[10971059]
WOS研究方向	Engineering ; Mathematics ; Mechanics
语种	英语
出版者	ELSEVIER SCIENCE SA
WOS记录号	WOS:000290842600008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/11577]
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	Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Huajie,He, Lianhua,Zhou, Aihui. Finite element approximations of nonlinear eigenvalue problems in quantum physics[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2011,200(21-22):1846-1865.
APA	Chen, Huajie,He, Lianhua,&Zhou, Aihui.(2011).Finite element approximations of nonlinear eigenvalue problems in quantum physics.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,200(21-22),1846-1865.
MLA	Chen, Huajie,et al."Finite element approximations of nonlinear eigenvalue problems in quantum physics".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 200.21-22(2011):1846-1865.