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

doi:10.1007/s10543-020-00830-3

	A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration
	Xu, Fei 5; Xie, Hehu 2,3; Xie, Manting 1; Yue, Meiling 4
刊名	BIT NUMERICAL MATHEMATICS
	2021-01-19
页码	19
关键词	BEC GPE Nonlinear eigenvalue problem Multigrid method Finite element method
ISSN号	0006-3835
DOI	10.1007/s10543-020-00830-3
英文摘要	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 lambda and eigenvector u separately, we regard the eigenpair (lambda,u) as one element in the composite space RxH(0)(1)(Omega) 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.
资助项目	National Key Research and Development Program of China[2019YFA0709601] ; National Natural Science Foundations of China[NSFC 11771434] ; National Natural Science Foundations of China[11801021] ; National Natural Science Foundations of China[91730302] ; National Natural Science Foundations of China[91630201] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000609122600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/57982]
专题	中国科学院数学与系统科学研究院
通讯作者	Yue, Meiling
作者单位	1.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China 5.Beijing Univ Technol, Fac Sci, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
推荐引用方式 GB/T 7714	Xu, Fei,Xie, Hehu,Xie, Manting,et al. A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration[J]. BIT NUMERICAL MATHEMATICS,2021:19.
APA	Xu, Fei,Xie, Hehu,Xie, Manting,&Yue, Meiling.(2021).A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration.BIT NUMERICAL MATHEMATICS,19.
MLA	Xu, Fei,et al."A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration".BIT NUMERICAL MATHEMATICS (2021):19.