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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.