Efficient Numerical Solution of Dynamical Ginzburg-Landau Equations under the Lorentz Gauge

DOI10.4208/cicp.OA-2016-0120zbMath1488.65419OpenAlexW2610666358MaRDI QIDQ5159052

Huadong Gao

Publication date: 26 October 2021

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

Full work available at URL: https://doi.org/10.4208/cicp.oa-2016-0120

zbMATH Keywords

magnetic fieldelectric potentialsuperconductivityLorentz gaugeGinzburg-Landau equationsfully linearized schemeFEMs

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electro- and magnetostatics (78A30) Ginzburg-Landau equations (35Q56)

Related Items (3)

An Energy Stable and Maximum Bound Principle Preserving Scheme for the Dynamic Ginzburg–Landau Equations under the Temporal Gauge ⋮ Residual-based a posteriori error estimates for the time-dependent Ginzburg-Landau equations of superconductivity ⋮ An efficient iterative method for dynamical Ginzburg-Landau equations

Uses Software

• FEniCS

Cites Work

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