@Article{CiCP-19-3,
author = {},
title = {A Multigrid Method for Ground State Solution of Bose-Einstein Condensates},
journal = {Communications in Computational Physics},
year = {2016},
volume = {19},
number = {3},
pages = {648--662},
abstract = {<p style="text-align: justify;">A multigrid method is proposed to compute the ground state solution of
Bose-Einstein condensations by the finite element method based on the multilevel correction
for eigenvalue problems and the multigrid method for linear boundary value
problems. In this scheme, obtaining the optimal approximation for the ground state
solution of Bose-Einstein condensates includes a sequence of solutions of the linear
boundary value problems by the multigrid method on the multilevel meshes and some
solutions of nonlinear eigenvalue problems some very low dimensional finite element
space. The total computational work of this scheme can reach almost the same optimal
order as solving the corresponding linear boundary value problem. Therefore,
this type of multigrid scheme can improve the overall efficiency for the simulation of
Bose-Einstein condensations. Some numerical experiments are provided to validate
the efficiency of the proposed method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.191114.130715a},
url = {https://global-sci.com/article/80269/a-multigrid-method-for-ground-state-solution-of-bose-einstein-condensates}
}