Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity

被引：25

作者：

Du, Q

Nicolaides, RA

Wu, XN

机构：

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

[2] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA

[3] Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1998年 / 35卷 / 03期

关键词：

Ginzburg-Landau model of superconductivity; covolume approximations; gauge invariance; convergence analysis;

D O I：

10.1137/S0036142996302852

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present the mathematical analysis of a covolume method for the approximations of the Ginzburg-Landau (GL) model for superconductivity. A nice feature of this approach is that the gauge invariance properties are retained in discrete approximations based on triangular grids. We also use properties of discrete vector fields to study issues such as the gauge choices and their enforcement.

引用

页码：1049 / 1072

页数：24

共 17 条

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