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

doi:10.1007/s10915-019-01051-9

CSpace

	Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates
	Xie, Hehu 1,2; Xie, Manting 3
	2019-11-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	81 期号:2 页码:1072-1087
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.
关键词	Bose-Einstein condensate Gross-Pitaevskii equation Finite element method Computable error estimates Lower bound
DOI	10.1007/s10915-019-01051-9
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000491440200018
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50673
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Tianjin Univ, Ctr Appl Math, Tianjin 300072, 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.