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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 StylesWe 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.
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Publication status
- Published
Journal
SIAM Journal on Numerical AnalysisISSN
0036-1429External DOI
Issue
3Volume
42Page range
1324-1341Department affiliated with
- Mathematics Publications
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- No
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- Yes
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2012-02-06Usage metrics
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