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

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES
	Zhang, Ning 2,3; Xu, Fei 1; Xie, Hehu2,3
刊名	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
	2019
卷号	16 期号:5 页码:789-803
关键词	BEC GPE nonlinear eigenvalue problem multigrid tensor finite element method asymptotically optimal efficiency
ISSN号	1705-5105
英文摘要	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.
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
语种	英语
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
WOS记录号	WOS:000464614200007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34534]
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.Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, 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.