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Finite element analysis of a current density-electric field formulation of Bean's model for superconductivity

journal contribution
posted on 2023-06-07, 20:57 authored by C M Elliott, D Kay, Vanessa StylesVanessa Styles
We study a current density-electric field formulation of Bean's model for the experimental set-up of an infinitely long cylindrical superconductor subject to a transverse magnetic field. We introduce a fully practical finite-element approximation of the model and prove an error between the exact solution and the approximate solution for the current density of order (h + Deltat)(1/2). Numerical simulations for a variety of given source currents are presented.

History

Publication status

  • Published

Journal

IMA Journal of Numerical Analysis

ISSN

0272-4979

Publisher

Oxford University Press

Issue

1

Volume

25

Page range

182-204

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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