报告人: 李祥贵教授 （北京信息科技大学）

报告题目: 磁偶极问题中BEC的有限元方法

报告摘要：In this talk, finite element approximation is considered for computing the dipolar Bose-Einstein condensates with nonlocal nonlinear convolution terms in one-or multi-dimensional space. Following the idea of the imaginary time method, we compute the ground state solution of the1-D Bose-Einstein condensate by directly applying the standard finite element method to solve a nonlinear parabolic differential-integral equation. Theoretical analysis is given to show the existence and convergence of this finite element method for one-dimensional problem. For the multi-dimensional dipolar BEC, it can be described a Gross-Pitaevskii equation coupled with a first-order velocity system. Then, a combined discontinuous Galerkin method, which is a hybridized mixed discontinuous Galerkin method combining with the direct discontinuous Galerkin method, is proposed to compute ground states and dynamics. This combined DG method can keep the conservation of the particle number and avoid evaluating integrals with high singularity. Numerical examples are presented to demonstrate the accuracy and capability of the proposed method.

报告人简介:李祥贵，北京信息科技大学教授，曾任该校理学院院长，现任该校研工部部长兼研究生院副院长，北京高校数学教育发展研究中心常务副主任，计算数学等学会理事，2002年在北京应用物理与计算数学研究所获博士学位，主要从事计算数学研究，已在Numer Math, JCP等国内外重要刊物发表论文数十篇。

报告时间: 2017年5月26日（星期五）上午9:30-10:30

报告地点: 科技楼南楼702室