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

作　　者：Huajie Chen Xingao Gong Lianhua He Aihui Zhou 

机构地区：[1]LSEC,Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [2]Department of Physics,Fudan University,Shanghai 200433,China

出　　处：《Advances in Applied Mathematics and Mechanics》2011年第4期493-518,共26页应用数学与力学进展（英文）

基　　金：This work was partially supported by the National Science Foundation of China under grants 10871198 and 10971059;the National Basic Research Program of China under grant 2005CB321704;the National High Technology Research and Development Program of China under grant 2009AA01A134。

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 

分 类 号：O17[理学—数学]