Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics
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@Article{AAMM-3-493,
author = {Huajie Chen, Xingao Gong, Lianhua He and Aihui Zhou},
title = {Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2011},
volume = {3},
number = {4},
pages = {493--518},
abstract = {
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.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1057}, url = {http://global-sci.org/intro/article_detail/aamm/180.html} }
TY - JOUR
T1 - Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics
AU - Huajie Chen, Xingao Gong, Lianhua He & Aihui Zhou
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 493
EP - 518
PY - 2011
DA - 2011/03
SN - 3
DO - http://dor.org/10.4208/aamm.10-m1057
UR - https://global-sci.org/intro/aamm/180.html
KW - Adaptive finite element
KW - convergence
KW - micro-structure
KW - nonlinear eigenvalue
AB -
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.
Huajie Chen, Xingao Gong, Lianhua He & Aihui Zhou. (1970). Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics.
Advances in Applied Mathematics and Mechanics. 3 (4).
493-518.
doi:10.4208/aamm.10-m1057
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