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

Henning, Patrick (author): KTH,Numerisk analys, NA,Kungliga Tekniska Högskolan (KTH),Royal Institute of Technology (KTH)

Målqvist, Axel, 1978 (author): Göteborgs universitet,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology

(creator_code:org_t)

Society for Industrial and Applied Mathematics, 2017
2017
English.
In: SIAM Journal on Numerical Analysis. - : Society for Industrial and Applied Mathematics. - 0036-1429 .- 1095-7170. ; 55:2, s. 923-952

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Abstract Subject headings

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 L-2- 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.

About the subject

By the university: Royal Institute of Technology; Chalmers University of Technology

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