ANALYSIS AND APPROXIMATION OF THE GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY

被引:350
|
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
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
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页码:54 / 81
页数:28
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