Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics

doi:10.4208/aamm.10-m1057

	Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics
	Chen, Huajie 1; Gong, Xingao 2; He, Lianhua 1; Zhou, Aihui1
	2011-08-01
发表期刊	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
ISSN	2070-0733
卷号	3 期号:4 页码:493-518
摘要	In this paper, we study an adaptive finite element method for a class of nonlinear eigenvalue problems resulting from quantum physics that may have a nonconvex energy functional. We prove the convergence of adaptive finite element approximations and present several numerical examples of micro-structure of matter calculations that support our theory.
关键词	Adaptive finite element convergence micro-structure nonlinear eigenvalue
DOI	10.4208/aamm.10-m1057
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[2005CB321704] ; National High Technology Research and Development Program of China[2009AA01A134]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000295758600006
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/12472
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, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Chen, Huajie,Gong, Xingao,He, Lianhua,et al. Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2011,3(4):493-518.
APA	Chen, Huajie,Gong, Xingao,He, Lianhua,&Zhou, Aihui.(2011).Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,3(4),493-518.
MLA	Chen, Huajie,et al."Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 3.4(2011):493-518.