An integral equation method for a boundary value problem in superconductivity

被引：2

作者：

Heese, H ^{[1
]}

机构：

[1] Univ Gottingen, Inst Numer & Angew Math, D-37083 Gottingen, Germany

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2004年 / 27卷 / 14期

关键词：

integral equations methods; boundary value and inverse problems; Laplace equation; Fredholm integral equations; integral equations; electro- and magnetostatics;

D O I：

10.1002/mma.532

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a mathematical model for transport current carrying superconductors in terms of a boundary value problem for the Laplace equation. A uniqueness and existence result is given via a boundary integral equation method in a Holder space setting. It's numerical solution is described using a combined collocation method and quadrature rule approach including a convergence analysis and numerical examples. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：1725 / 1743

页数：19

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