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

Authors

  • Huajie Chen
  • Xingao Gong
  • Lianhua He
  • Aihui Zhou LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

DOI:

https://doi.org/10.4208/aamm.10-m1057

Keywords:

Adaptive finite element, convergence, micro-structure, nonlinear eigenvalue.

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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Published

2011-03-01

Issue

Vol. 3 No. 4 (2011)

Section

Articles