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

Elliott, CM, 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 + {Delta}t)1/2. Numerical simulations for a variety of given source currents are presented.

Item Type: Article School of Mathematical and Physical Sciences > Mathematics Q Science > QA Mathematics Charles Martin Elliott 16 Mar 2007 30 Nov 2012 16:50 http://sro.sussex.ac.uk/id/eprint/894 3 Citations
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