179 citations · 290 across the 26 of their papers we have counts for
32 papers
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…
Error bounds for discrete minimizers of the Ginzburg-Landau energy in the high- regime
Benjamin Dörich, Patrick Henning
In this work, we study discrete minimizers of the Ginzburg-Landau energy in finite element spaces. Special focus is given to the influence of the Ginzburg-Landau parameter . Thi…
On discrete ground states of rotating Bose-Einstein condensates
Patrick Henning, Mahima Yadav
The ground states of Bose-Einstein condensates in a rotating frame can be described as constrained minimizers of the Gross-Pitaevskii energy functional with an angular momentum ter…
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…
Uniform -bounds for energy-conserving higher-order time integrators for the Gross-Pitaevskii equation with rotation
Christian Döding, Patrick Henning
In this paper, we consider an energy-conserving continuous Galerkin discretization of the Gross-Pitaevskii equation with a magnetic trapping potential and a stirring potential for…
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem
Patrick Henning
In this paper we consider the generalized inverse iteration for computing ground states of the Gross-Pitaevskii eigenvector problem (GPE). For that we prove explicit linear converg…