A Multigrid Method for Ground State Solution of Bose-Einstein Condensates

doi:10.4208/cicp.191114.130715a

	A Multigrid Method for Ground State Solution of Bose-Einstein Condensates
	Xie, Hehu1 ; Xie, Manting 2
	2016-03-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	19 期号:3 页码:648-662
摘要	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.
关键词	BEC GPE eigenvalue problem multigrid multilevel correction finite element method
DOI	10.4208/cicp.191114.130715a
语种	英语
资助项目	National Science Foundations of China[NSFC 91330202] ; National Science Foundations of China[11371026] ; National Science Foundations of China[11001259] ; National Science Foundations of China[11031006] ; National Science Foundations of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science, CAS ; President Foundation of AMSS-CAS
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000372156900005
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22264
专题	计算数学与科学工程计算研究所
通讯作者	Xie, Hehu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xie, Hehu,Xie, Manting. A Multigrid Method for Ground State Solution of Bose-Einstein Condensates[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2016,19(3):648-662.
APA	Xie, Hehu,&Xie, Manting.(2016).A Multigrid Method for Ground State Solution of Bose-Einstein Condensates.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,19(3),648-662.
MLA	Xie, Hehu,et al."A Multigrid Method for Ground State Solution of Bose-Einstein Condensates".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 19.3(2016):648-662.