The finite element method for computing the ground states of the dipolar Bose-Einstein condensates

被引：7
|
作者：
Hua, Dong-Ying [1 ]
Li, Xiang-Gui [1 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 234卷
基金：
中国国家自然科学基金;
关键词：
Finite element method; Bose-Einstein condensates; Generalized solution; QUANTUM GASES; EQUATION; DYNAMICS;
D O I：
10.1016/j.amc.2014.01.085
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A finite element approximation for computing the ground states of the dipolar Bose-Einstein condensates with a nonlocal nonlinear convolution term is presented in one dimension. Following the idea of the imaginary time method, we compute the ground state finite method solution of the Bose-Einstein condensates by solving a nonlinear parabolic differential-integral equation. Theoretical analysis is given to show the existence and convergence of this finite method solution. Numerical results are given to verify efficiency of our numerical method. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：214 / 222
页数：9
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