Sobolev Gradient Flow for the Gross--Pitaevskii Eigenvalue Problem: Global Convergence and Computational Efficiency

DOI10.1137/18M1230463MaRDI QIDQ5113129

Daniel Peterseim, Patrick Henning

Publication date: 10 June 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00835

zbMATH Keywords

nonlinear eigenvalue problemsBose-Einstein condensatesGross-Pitaevskii equationground statesSobolev gradients

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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