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

Fuente: arXiv
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Auteurs principaux: Gunter, D. O., Kaper, H. G., Leaf, G. K.
Format: Preprint
Publié: 1999
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author Gunter, D. O.
Kaper, H. G.
Leaf, G. K.
author_facet Gunter, D. O.
Kaper, H. G.
Leaf, G. K.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_math_9906176
institution arXiv
publishDate 1999
record_format arxiv
spellingShingle Implicit Integration of the Time-Dependent Ginzburg-Landau Equations of Superconductivity
Gunter, D. O.
Kaper, H. G.
Leaf, G. K.
Numerical Analysis
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.
title Implicit Integration of the Time-Dependent Ginzburg-Landau Equations of Superconductivity
topic Numerical Analysis
url https://arxiv.org/abs/math/9906176