An integral equation method for a boundary value problem in superconductivity | Zendy

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An integral equation method for a boundary value problem in superconductivity

Author(s) -

Heese Harald

Publication year - 2004

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.532

Subject(s) - mathematics , uniqueness , boundary value problem , mathematical analysis , integral equation , laplace's equation , quadrature (astronomy) , laplace transform , collocation method , convergence (economics) , integro differential equation , partial differential equation , differential equation , first order partial differential equation , ordinary differential equation , physics , economic growth , optics , economics

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.

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