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.
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页码：1725 / 1743
页数：19
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