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Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model

✍ Scribed by Huajie Chen; Xingao Gong; Aihui Zhou

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
620 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

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.

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