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

Elliott, C M, Kay, D and Styles, V (2005) Finite element analysis of a current density-electric field formulation of Bean's model for superconductivity. IMA Journal of Numerical Analysis, 25 (1). pp. 182-204. ISSN 0272-4979

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Abstract

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.

Item Type: Article
Additional Information: From SRO
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Charles Martin Elliott
Date Deposited: 06 Feb 2012 18:40
Last Modified: 25 Apr 2012 13:42
URI: http://sro.sussex.ac.uk/id/eprint/17723
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