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math.NA2026
Numerical vortex resolution for the Gross-Pitaevskii equation in the rapid rotation Thomas-Fermi scaling
Patrick Henning, Anna Persson, Christos Pilichos
In this paper we analyze finite element approximations of ground states of the Gross-Pitaevskii equation in the rapid rotation Thomas-Fermi scaling. In this regime, the healing len…
math.NA2024
A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition
Christian Döding, Patrick Henning, Johan Wärnegård
In this work, we consider the numerical computation of ground states and dynamics of single-component Bose-Einstein condensates (BECs). The corresponding models are spatially discr…