A combined discontinuous Galerkin method for the dipolar Bose-Einstein condensation
A combined discontinuous Galerkin method for the dipolar Bose-Einstein condensation
复制标题
偶极玻色-爱因斯坦凝聚的组合间断伽辽金法
DOI：
10.1016/j.jcp.2014.07.013
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发表时间：
2014-10
影响因子：
4.1
通讯作者：
S. Cao
中科院分区：
文献类型：
--
作者：
X. G. Li;J. Zhu;R. P. Zhang;S. Cao
In this work, a combined discontinuous Galerkin (DG) method, which is a hybridized mixed discontinuous Galerkin (HMDG) method combined with the direct discontinuous Galerkin (DDG) method, is proposed to compute ground states and dynamics of dipolar Bose–Einstein condensates (BECs) described by a multi-dimensional Gross–Pitaevskii equation (GPE) coupled with a first-order velocity system. Due to the adaption of the first-order velocity system instead of dipolar interactions, the proposed combined DG method avoids to evaluate integrals with high singularity. Additionally, this method keeps the conservation of the particle number. The Krylov semi-implicit method is applied to the time discretization. Finally, numerical examples are presented to demonstrate the accuracy and capability of the proposed method.
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DOI：
10.1137/130911111
发表时间：
2013-11
期刊：
SIAM J. Sci. Comput.
影响因子：
--
作者：
W. Bao;Daniel Marahrens;Q. Tang;Yanzhi Zhang
通讯作者：
W. Bao;Daniel Marahrens;Q. Tang;Yanzhi Zhang
DOI：
--
发表时间：
2013-05
期刊：
arXiv: Quantum Gases
影响因子：
--
作者：
W. Bao;Daniel Marahrens;Q. Tang;Yanzhi Zhang
通讯作者：
W. Bao;Daniel Marahrens;Q. Tang;Yanzhi Zhang
影响因子：
8.6
作者：
Griesmaier, A;Werner, J;Pfau, T
通讯作者：
Pfau, T
影响因子：
4.1
作者：
FEIT, MD;FLECK, JA;STEIGER, A
通讯作者：
STEIGER, A
DOI：
10.1137/080720255
发表时间：
2008-10
期刊：
SIAM J. Numer. Anal.
影响因子：
--
作者：
Hailiang Liu;Jue Yan
通讯作者：
Hailiang Liu;Jue Yan