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

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

1999-06-25

arxiv.org/abs/math/9906176v1

Mathematics

Numerical Analysis

14 pages, including figures

Scientific paper

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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