Implicit Integration of the Time-Dependent Ginzburg-Landau Equations of Superconductivity

1999/06/25 by D. O. Gunter, Gunter, D. O., Hans G. Kaper +3
Chemistry · Computer Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Mathematics #Numerical Analysis (math.NA) #Parallel Computing and Optimization Techniques #Physics of Superconductivity and Magnetism

paper · pdf · doi:10.48550/arxiv.math/9906176

openalex publication_date 1999/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article is concerned with the integration of the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy, and compute time. The benchmark problem for the evaluation is the equilibration of a vortex configuration in a superconductor that is embedded in a thin insulator and subject to an applied magnetic field.

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