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

被引：31

作者：

Du, Q

机构：

[1] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong

[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

MATHEMATICS OF COMPUTATION | 1998年 / 67卷 / 223期

关键词：

Ginzburg-Landau model of superconductivity; time dependent equations; nonstandard difference approximations; gauge invariance; convergence; error estimates;

D O I：

10.1090/S0025-5718-98-00954-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 propel-ties such as the gauge invariance being retained in discrete approximations and the discrete order parameter having physically consistent pointwise bound.

引用

页码：965 / 986

页数：22

共 25 条

[1] RELAXATION METHODS FOR GAUGE FIELD EQUILIBRIUM EQUATIONS [J].