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

文献类型：期刊论文

作者Chen, Huajie1; Gong, Xingao2; He, Lianhua1; Zhou, Aihui1
刊名ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
出版日期2011-08-01
卷号3期号:4页码:493-518
关键词Adaptive finite element convergence micro-structure nonlinear eigenvalue
ISSN号2070-0733
DOI10.4208/aamm.10-m1057
英文摘要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.
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
语种英语
WOS记录号WOS:000295758600006
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12471]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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