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首页> 外文期刊>Journal of Computational Physics >A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates
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A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates

机译：计算玻色-爱因斯坦凝聚物基态解的混合非连续伽勒金方法

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摘要

A numerical method for computing the ground state solution of Bose-Einstein condensates modeled by the Gross-Pitaevskii equation is presented. In this method, the three-dimensional computational domain is divided into hexahedral elements in which the solution is approximated by a sum of basis functions. Both polynomial and plane wave bases are considered for this purpose, and Lagrange multipliers are introduced to weakly enforce the interelement continuity of the solution. The ground state is computed by an iterative procedure for minimizing the energy. The performance results obtained for several numerical experiments demonstrate that the proposed method is more computationally efficient than similar solution approaches based on the standard higher-order finite element method.
机译：提出了一种用Gross-Pitaevskii方程建模的玻色-爱因斯坦凝聚物基态解的数值计算方法。在该方法中，将三维计算域划分为六面体元素，在其中，解可以通过基函数之和来近似。为此考虑了多项式和平面波基，并引入了拉格朗日乘数以弱地强制求解的元素间连续性。通过最小化能量的迭代过程来计算基态。通过几个数值实验获得的性能结果表明，与基于标准高阶有限元方法的相似解法相比，该方法具有更高的计算效率。

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