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

Autor:	Xu, Fei, Xie, Hehu, Xie, Manting, Yue, Meiling
Předmět:	BOSE-Einstein condensation MULTIGRID methods (Numerical analysis) BOUNDARY value problems NONLINEAR equations FINITE element method
Zdroj:	BIT: Numerical Mathematics; Jun2021, Vol. 61 Issue 2, p645-663, 19p
Abstrakt:	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) and then Newton iteration step is adopted for the nonlinear problem. Thus in this multigrid scheme, the main computation is to solve a linear discrete boundary value problem in every refined space, which can improve the overall efficiency for the simulation of Bose–Einstein condensations. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink