Convergence analysis of a numerical method for a mean field model of superconducting vortices

被引：3

作者：

Du, Q ^{[1
]}

机构：

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

[2] Hong Kong Univ Sci & Technol, Dept Math, Clear Water Bay, Hong Kong, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2000年 / 37卷 / 03期

关键词：

mean field model; superconductivity; vortices; finite element; conforming and nonconforming; finite volume; covolume; finite difference; staggered grid; convergence analysis;

D O I：

10.1137/S0036142998345517

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the mean field models of superconductivity, the individual vortex-like structures occurring in practical type-II superconductors are averaged and a vortex density is solved for them. The numerical solution of the mean field models makes large-scale simulations of vortex phenomena possible. In this paper, we present a simple convergence analysis for a numerical method based on hybrid finite element/finite volume/finite difference approximations in the two-dimensional case, by providing various different interpretations to the discretization scheme.

引用

页码：911 / 926

页数：16

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