Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity-Reference-Cited by-同舟云学术

Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity

Published:1998 Issue:223 Volume:67 Page:965-986
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Du Qiang

Abstract

We present here a mathematical analysis of a nonstandard difference method for the numerical solution of the time dependent Ginzburg-Landau models of superconductivity. This type of method has been widely used in numerical simulations of the behavior of superconducting materials. We also illustrate some of their nice properties such as the gauge invariance being retained in discrete approximations and the discrete order parameter having physically consistent pointwise bound.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1998-67-223/S0025-5718-98-00954-5/S0025-5718-98-00954-5.pdf

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