An integral equation method for a boundary value problem in superconductivity

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 Hölder space setting. It's numerical solution is described using...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2004-09, Vol.27 (14), p.1725-1743
1. Verfasser:	Heese, Harald
Format:	Artikel
Sprache:	eng
Schlagworte:	boundary value and inverse problems electro- and magnetostatics Exact sciences and technology Fredholm integral equations Integral equations integral equations methods Laplace equation Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Partial differential equations, boundary value problems Sciences and techniques of general use
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Zusammenfassung:	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 Hölder 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 © 2004 John Wiley & Sons, Ltd.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.532