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The finite element ...
The finite element method for the time-dependent gross-pitaevskii equation with angular momentum rotation
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- Henning, Patrick (author)
- KTH,Numerisk analys, NA,Kungliga Tekniska Högskolan (KTH),Royal Institute of Technology (KTH)
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- Målqvist, Axel, 1978 (author)
- Göteborgs universitet,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- Society for Industrial and Applied Mathematics, 2017
- 2017
- English.
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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
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Bose-Einstein condensate
- finite element method
- Gross-Pitaevskii equation
Publication and Content Type
- ref (subject category)
- art (subject category)
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