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math.NA2025
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…
math.NA2025
Simulation of the magnetic Ginzburg-Landau equation via vortex tracking
Thiago Carvalho Corso, Gaspard Kemlin, Christof Melcher +1
This paper deals with the numerical simulation of the 2D magnetic time-dependent Ginzburg-Landau (TDGL) equations in the regime of small but finite (inverse) Ginzburg-Landau parame…
math.NA2024
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…