AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES

	AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES
	Zhang, Ning 1,2; Xu, Fei 3; Xie, Hehu1,2
	2019
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	16 期号:5 页码:789-803
摘要	An efficient multigrid method is proposed to compute the ground state solution of Bose-Einstein condensations by the finite element method based on the combination of the multigrid method for nonlinear eigenvalue problem and an efficient implementation for the nonlinear iteration. The proposed numerical method not only has the optimal convergence rate, but also has the asymptotically optimal computational efficiency which is independent from the nonlinearity of the problem. The independence from the nonlinearity means that the asymptotic estimate of the computational work can reach almost the same as that of solving the corresponding linear boundary value problem by the multigrid method. Some numerical experiments are provided to validate the efficiency of the proposed method.
关键词	BEC GPE nonlinear eigenvalue problem multigrid tensor finite element method asymptotically optimal efficiency
语种	英语
资助项目	Science Challenge Project[TZ2016002] ; National Natural Science Foundations of China[NSFC 91730302] ; National Natural Science Foundations of China[11771434] ; National Natural Science Foundations of China[11801021] ; National Natural Science Foundations of China[91330202] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[11001259] ; National Natural Science Foundations of China[11031006] ; National Natural Science Foundations of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000464614200007
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34535
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Ning
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ning,Xu, Fei,Xie, Hehu. AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2019,16(5):789-803.
APA	Zhang, Ning,Xu, Fei,&Xie, Hehu.(2019).AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,16(5),789-803.
MLA	Zhang, Ning,et al."AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 16.5(2019):789-803.