Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 87, Issue -, Pages 77-90Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2021.02.009
Keywords
Spin-orbit-coupled Bose-Einstein condensates; Time-splitting method; Galerkin finite element method; Adaptive method
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Funding
- National Natural Science Foundation of China [11901461]
- Natural Science Foundation of Shaanxi Province, PR China [2019JQ-024]
- China Postdoctoral Science Foundation [2020M673464]
- Science Challenge Project, PR China [TZ2016002]
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In this paper, a time-splitting method is developed to investigate the evolution of spin-orbit-coupled Bose-Einstein condensates. The fully discrete scheme combines second-order timesplitting method for temporal discretization and Galerkin finite element method for spatial discretization. Numerical simulations validate the method's features and simulate waves interacting with trapping potentials in two and three dimensions.
In this paper, we develop a time-splitting method to investigate the evolution of the spin-orbit-coupled Bose-Einstein condensates. The fully discrete scheme is constructed by combining the second-order timesplitting method for temporal discretization and the framework of Galerkin finite element method for spatial discretization. Ample numerical simulations are performed to validate the features of the designed numerical method, including the optimal order of error norms, the conservation law and the center-of-mass. Moreover, the interaction of waves with typical trapping potentials in two and three dimensions is numerically simulated.
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