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

被引：10
|
作者：
Chen, Huajie [1 ]
Gong, Xingao [2 ]
He, Lianhua [1 ]
Zhou, Aihui [1 ]
机构：
[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
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2011年 / 3卷 / 04期
基金：
国家高技术研究发展计划(863计划); 美国国家科学基金会;
关键词：
Adaptive finite element; convergence; micro-structure; nonlinear eigenvalue; GROUND-STATE SOLUTION; DIMENSIONAL APPROXIMATIONS; CONVERGENCE;
D O I：
10.4208/aamm.10-m1057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：493 / 518
页数：26
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