Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421134 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dong-Ying Hua, Xiang-Gui Li,