A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration

In this paper, a new kind of multigrid method is proposed for the ground state solution of Bose–Einstein condensates based on Newton iteration scheme. Instead of treating eigenvalue λ and eigenvector u separately, we regard the eigenpair ( λ , u ) as one element in the composite space R × H 0 1 ( Ω...

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Bibliographic Details
Published in:	BIT Vol. 61; no. 2; pp. 645 - 663
Main Authors:	Xu, Fei, Xie, Hehu, Xie, Manting, Yue, Meiling
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.06.2021 Springer Nature B.V
Subjects:	Bose-Einstein condensates Boundary value problems Computational Mathematics and Numerical Analysis Eigenvalues Eigenvectors Ground state Iterative methods Mathematics Mathematics and Statistics Numeric Computing Finite element method 65N25 BEC 65B99 Multigrid method 65L15 GPE Nonlinear eigenvalue problem 65N30
ISSN:	0006-3835, 1572-9125
Online Access:	Get full text
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