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A finite element approximation of a variational inequality formulation of Bean's model for superconductivity

journal contribution
posted on 2023-06-08, 06:25 authored by C M Elliott, D Kay, Vanessa StylesVanessa Styles
We introduce a finite element approximation of a variational formulation of Bean's model for the physical configuration of an infinitely long cylindrical superconductor subject to a transverse magnetic field. We prove an error between the exact solution and the approximate solution for the current density and the magnetic field in appropriate norms of order h(1/2) + Deltat. Numerical simulations for a variety of applied magnetic fields are also presented.

History

Publication status

  • Published

Journal

SIAM Journal on Numerical Analysis

ISSN

0036-1429

Issue

3

Volume

42

Page range

1324-1341

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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