玻色-爱因斯坦凝聚基态解的有限元数值计算  

Computing the ground state solution of Bose-Einstein condensations by finite element method

作　　者：华冬英[1] 邱镜亮[1] 

机构地区：[1]北京信息科技大学理学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2011年第6期21-25,共5页Journal of Beijing Information Science and Technology University

基　　金：国家自然科学基金资助项目(11171032);北京市教委科技发展面上项目(KM201110772017)

摘　　要：求三维玻色-爱因斯坦凝聚(BECs)问题基态解的计算量很大,可将具有径向对称性的三维BECs问题降维为一维雪茄型问题,采用有限元虚时方法进行离散求解并对非线性项进行线性化处理。数值算例显示算法具有最优的二阶精度,计算量很小。The computational cost of computing the ground state solution of the three dimensional Bose-Einstein condensations（BECs） is generally very high,we reduce the three dimensional problem with the radial symmetry to the one dimensional cigar-shaped problem.The finite element imaginary method is presented and then the nonlinear term is linearized.The numerical examples show that our numerical method has optimal second-order accuracy and the computational cost is low.

关 键 词：玻色-爱因斯坦凝聚 基态解 虚时方法 有限元法 

分 类 号：O241.82[理学—计算数学]