Computable error estimates for ground state solution of Bose-Einstein condensates

DOI10.1007/s10915-019-01051-9zbMath1427.65383arXiv1604.05228OpenAlexW2975936088WikidataQ127017024 ScholiaQ127017024MaRDI QIDQ2333735

Manting Xie, Hehu Xie

Publication date: 13 November 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05228

zbMATH Keywords

finite element methodlower boundGross-Pitaevskii equationBose-Einstein condensatecomputable error estimates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (6)

An overview of \textit{a posteriori} error estimation and post-processing methods for nonlinear eigenvalue problems ⋮ An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates ⋮ The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem ⋮ A novel domain decomposition framework for the ground state solution of Bose-Einstein condensates ⋮ A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering ⋮ The \(J\)-method for the Gross-Pitaevskii eigenvalue problem

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