ANALYSIS AND APPROXIMATION OF THE GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY

被引：353

作者：

DU, Q

GUNZBURGER, MD

PETERSON, JS

机构：

[1] UNIV CHICAGO, DEPT MATH, CHICAGO, IL 60637 USA

[2] VIRGINIA POLYTECH INST & STATE UNIV, DEPT MATH, BLACKSBURG, VA 24061 USA

来源：

SIAM REVIEW | 1992年 / 34卷 / 01期

关键词：

SUPERCONDUCTIVITY; GINZBURG-LANDAU EQUATIONS; FINITE ELEMENT APPROXIMATIONS;

D O I：

10.1137/1034003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors consider the Ginzburg-Landau model for superconductivity. First some well-known features of superconducting materials are reviewed and then various results concerning the model, the resultant differential equations, and their solution on bounded domains are derived. Then, finite element approximations of the solutions of the Ginzburg-Landau equations are considered and error estimates of optimal order are derived.

引用

页码：54 / 81

页数：28

共 41 条

[1]

ABRIKOSOV AA, 1957, SOV PHYS JETP-USSR, V5, P1174

[2]

Adams R.A., 1975, SOBOLEV SPACES

[3] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].