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Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model
Author(s) -
Chen Huajie,
Gong Xingao,
Zhou Aihui
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1292
Subject(s) - mathematics , eigenvalues and eigenvectors , convergence (economics) , nonlinear system , approximations of π , finite element method , numerical analysis , numerical approximation , mathematical analysis , physics , quantum mechanics , economics , thermodynamics , economic growth
In this paper, we study numerical approximations of a nonlinear eigenvalue problem and consider applications to a density functional model. We prove the convergence of numerical approximations. In particular, we establish several upper bounds of approximation errors and report some numerical results of finite element electronic structure calculations that support our theory. Copyright © 2010 John Wiley & Sons, Ltd.