Implicit integration of the TDGL equations of superconductivity

Implicit integration of the TDGL 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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Veröffentlicht in:arXiv.org 2000-07
Hauptverfasser: Gunter, D O, Kaper, H G, Leaf, G K
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Mathematical analysis
Stability analysis
Superconductivity
Time dependence
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Beschreibung
Zusammenfassung: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