Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics
Year: 2011
Author: Huajie Chen, Xingao Gong, Lianhua He, Aihui Zhou
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1057
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 4 : pp. 493–518
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Adaptive finite element convergence micro-structure nonlinear eigenvalue.
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