Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates

doi:10.1007/s10915-019-01051-9

	Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates
	Xie, Hehu 2,3; Xie, Manting 1
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2019-11-01
卷号	81 期号:2 页码:1072-1087
关键词	Bose-Einstein condensate Gross-Pitaevskii equation Finite element method Computable error estimates Lower bound
ISSN号	0885-7474
DOI	10.1007/s10915-019-01051-9
英文摘要	In this paper, we propose a computable error estimate of the Gross-Pitaevskii equation for the ground state solution of the Bose-Einstein condensate by the general conforming finite element method on general meshes. Based on this error estimate, the asymptotically lower and upper bound for the smallest eigenvalue and ground state energy can be calculated. Several numerical examples are presented to validate the theoretical results in this paper.
资助项目	National Nature Science Foundations of China[NSFC 11771434] ; National Nature Science Foundations of China[91330202] ; National Nature Science Foundations of China[11371026] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000491440200018
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50672]
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, Manting
作者单位	1.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xie, Hehu,Xie, Manting. Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,81(2):1072-1087.
APA	Xie, Hehu,&Xie, Manting.(2019).Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates.JOURNAL OF SCIENTIFIC COMPUTING,81(2),1072-1087.
MLA	Xie, Hehu,et al."Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates".JOURNAL OF SCIENTIFIC COMPUTING 81.2(2019):1072-1087.