Publications (44)
The -method for the Gross-Pitaevskii eigenvalue problem
Robert Altmann, Patrick Henning, Daniel Peterseim
This paper studies the -method of [E. Jarlebring, S. Kvaal, W. Michiels. SIAM J. Sci. Comput. 36-4:A1978-A2001, 2014] for nonlinear eigenvector problems in a general Hilbert spa…
A localized orthogonal decomposition method for semi-linear elliptic problems
Patrick Henning, Axel Malqvist, Daniel Peterseim
In this paper we propose and analyze a new Multiscale Method for solving semi-linear elliptic problems with heterogeneous and highly variable coefficient functions. For this purpos…
Multiscale Partition of Unity
Daniel Peterseim, Patrick Henning, Philipp Morgenstern
We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to…
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 multiscale approach to the stationary Ginzburg-Landau equations of superconductivity
Christian Döding, Benjamin Dörich, Patrick Henning
In this work, we study the numerical approximation of minimizers of the Ginzburg-Landau free energy, a common model to describe the behavior of superconductors under magnetic field…
Shadow Lagrangian dynamics for superfluidity
Patrick Henning, Anders M. N. Niklasson
Motivated by a similar approach for Born-Oppenheimer molecular dynamics, this paper proposes an extended "shadow" Lagrangian density for quantum states of superfluids. The extended…