Stable large-scale solver for Ginzburg-Landau equations for superconductors

DOI10.1016/J.JCP.2015.04.002zbMath1349.82116arXiv1409.8340OpenAlexW2016600681MaRDI QIDQ350040

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8340

zbMATH Keywords

vortex dynamicsGinzburg-LandauGPUTDGLtype-II superconductors

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Statistical mechanics of superconductors (82D55)

Related Items (4)

\texttt{pyTDGL}: time-dependent Ginzburg-Landau in Python ⋮ Extensions and analysis of worst-case parameter in weighted Jacobi's method for solving second order implicit PDEs ⋮ Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach ⋮ GPU-advanced 3D electromagnetic simulations of superconductors in the Ginzburg-Landau formalism

Uses Software

• CUDA

Cites Work

• Theory of Solidification
• The world of the complex Ginzburg-Landau equation
• Pattern formation outside of equilibrium
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