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

doi:10.1007/s10543-020-00830-3

CSpace

	A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration
	Xu, Fei 1; Xie, Hehu 2,3; Xie, Manting 4; Yue, Meiling 5
	2021-01-19
发表期刊	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
页码	19
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.
关键词	BEC GPE Nonlinear eigenvalue problem Multigrid method Finite element method
DOI	10.1007/s10543-020-00830-3
收录类别	SCI
语种	英语
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
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000609122600001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57983
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.Beijing Univ Technol, Fac Sci, Beijing Inst Sci & Engn Comp, Beijing 100124, 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.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 5.Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, 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.