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

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Gunter, D O, Kaper, H G, Leaf, G K
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 25.06.1999
Subjects
Algorithms
Landau-Ginzburg equations
Mathematical analysis
Stability analysis
Superconductivity
Time dependence
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Summary: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.
ISSN:2331-8422