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

DOI10.1002/mma.1292zbMath1194.35293OpenAlexW2124673426MaRDI QIDQ3586437

Xin-Gao Gong, Aihui Zhou, Huajie Chen

Publication date: 6 September 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1292

zbMATH Keywords

eigenvaluenonlinearnumerical approximationGalerkin discretizationdensity functionalorbital-free

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Error bounds for boundary value problems involving PDEs (65N15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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