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oaioai:publications.lib.chalmers.se:249859

The finite element method for the time-dependent gross-pitaevskii equation with angular momentum rotation

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Publication date
1 January 2017
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Doi

    Abstract

    We consider the time-dependent Gross-Pitaevskii equation describing the dynamics of rotating Bose-Einstein condensates and its discretization with the finite element method. We analyze a mass conserving Crank-Nicolson-type discretization and prove corresponding a priori error estimates with respect to the maximum norm in time and the L2- and energy-norm in space. The estimates show that we obtain optimal convergence rates under the assumption of additional regularity for the solution to the Gross-Pitaevskii equation. We demonstrate the performance of the method in numerical experiments. © by SIAM 2017

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    This paper was published in Chalmers Publication Library.

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