@Article{IJNAM-16-5,
author = {Zhang, Ning and Xu, Fei and Xie, Hehu},
title = {An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {5},
pages = {789--803},
abstract = {<p style="text-align: justify;">An efficient multigrid method is proposed to compute the ground state solution of
Bose-Einstein condensations by the finite element method based on the combination of the multigrid method for nonlinear eigenvalue problem and an efficient implementation for the nonlinear
iteration. The proposed numerical method not only has the optimal convergence rate, but also has
the asymptotically optimal computational efficiency which is independent from the nonlinearity
of the problem. The independence from the nonlinearity means that the asymptotic estimate of
the computational work can reach almost the same as that of solving the corresponding linear
boundary value problem by the multigrid method. Some numerical experiments are provided to
validate the efficiency of the proposed method.</p>},
issn = {2617-8710},
doi = {https://doi.org/2019-IJNAM-13254},
url = {https://global-sci.com/article/83095/an-efficient-multigrid-method-for-ground-state-solution-of-bose-einstein-condensates}
}