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Kay, D, Elliott, C M and Styles, V (2004) A finite element approximation of a variational formulation of Bean's model for superconductivity. SIAM Journal on Numerical Analysis, 42 (3). pp. 1324-1341. ISSN 0036-1429
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Official URL: http://dx.doi.org/10.1137/S0036142902412324
Abstract
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 h1/2 +\dt. Numerical simulations for a variety of applied magnetic fields are also presented.
Item Type: | Article |
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Additional Information: | Login required to view full articles. |
Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Depositing User: | EPrints Services |
Date Deposited: | 06 Feb 2012 20:55 |
Last Modified: | 10 Jul 2012 11:58 |
URI: | http://sro.sussex.ac.uk/id/eprint/28718 |