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Gradient Flow Finite Element Discretisations with Energy-Based -Adaptivity for the Gross-Pitaevskii Equation with Angular Momentum
Pascal Heid, Paul Houston, Benjamin Stamm +1
This article deals with the stationary Gross-Pitaevskii non-linear eigenvalue problem in the presence of a rotating magnetic field that is used to model macroscopic quantum effects…
Numerical simulation of the Gross-Pitaevskii equation via vortex tracking
Thiago Carvalho Corso, Gaspard Kemlin, Christof Melcher +1
This paper deals with the numerical simulation of the Gross-Pitaevskii (GP) equation, for which a well-known feature is the appearance of quantized vortices with core size of the o…
Trace estimates for harmonic functions along circular arcs with applications to domain decomposition on overlapping disks
Thiago Carvalho Corso, Muhammad Hassan, Abhinav Jha +1
In this paper we derive several (and in many cases sharp) estimates for the -trace norm of harmonic functions along circular arcs. More precisely, we obtain geometry-…