4 citations · 5 across the 4 of their papers we have counts for
3 papers · 1 filter
Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
Dietmar Gallistl, Moritz Hauck, Yizhou Liang +1
We establish an a priori error analysis for the lowest-order Raviart-Thomas finite element discretisation of the nonlinear Gross-Pitaevskii eigenvalue problem. Optimal convergence…
Super-localised wave function approximation of Bose-Einstein condensates
Daniel Peterseim, Johan Wärnegård, Christoph Zimmer
This paper presents a novel spatial discretisation method for the reliable and efficient simulation of Bose-Einstein condensates modelled by the Gross-Pitaevskii equation and the c…
Computational polyconvexification of isotropic functions
Timo Neumeier, Malte A. Peter, Daniel Peterseim +1
Based on the characterization of the polyconvex envelope of isotropic functions by their signed singular value representations, we propose a simple algorithm for the numerical appr…