A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation

DOI10.1016/j.cpc.2016.07.034zbMath1380.65389arXiv1602.07071OpenAlexW2283412891MaRDI QIDQ1682952

Ionut Danaila, Sylvain Auliac, Guillaume Vergez, Frederic Hecht

Publication date: 6 December 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07071

zbMATH Keywords

finite element methodsSobolev gradientGross-Pitaevskii equationBose-Einstein condensatemesh adaptivity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quantum equilibrium statistical mechanics (general) (82B10) Applications to the sciences (65Z05) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (12)

Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates ⋮ Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks ⋮ A finite-element toolbox for the simulation of solid-liquid phase-change systems with natural convection ⋮ A finite element toolbox for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates ⋮ Parallel finite-element codes for the simulation of two-dimensional and three-dimensional solid-liquid phase-change systems with natural convection ⋮ Identification of vortices in quantum fluids: finite element algorithms and programs ⋮ Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization ⋮ Nonextensive Gross Pitaevskii Equation ⋮ BEC2HPC: a HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation ⋮ GPU-accelerated time integration of Gross-Pitaevskii equation with discrete exterior calculus ⋮ Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation ⋮ GPFEM

Uses Software

• FreeFem++
• gnuplot
• Ipopt
• GSL
• GLUT
• GSGPEs
• Gross-Pitaevskii
• MMG3D
• OCTBEC
• GPELab
• imagetime1d

Cites Work

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