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AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES
Zhang, Ning1,2; Xu, Fei3; Xie, Hehu1,2
2019
Source PublicationINTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN1705-5105
Volume16Issue:5Pages:789-803
AbstractAn 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.
KeywordBEC GPE nonlinear eigenvalue problem multigrid tensor finite element method asymptotically optimal efficiency
Language英语
Funding ProjectScience 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000464614200007
PublisherISCI-INST SCIENTIFIC COMPUTING & INFORMATION
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34535
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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