Finite element analysis of a current density-electric field formulation of Bean's model for superconductivity |
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| Authors: | Elliott, C. M. Kay, D. Styles, V. |
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| Affiliation: | Centre for Mathematical Analysis and its Applications, Department of Mathematics, University of Sussex, Falmer, Brighton BN1 9QH, UK |
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| Abstract: | We study a current densityelectric field formulationof Bean's model for the experimental set-up of an infinitelylong cylindrical superconductor subject to a transverse magneticfield. We introduce a fully practical finite-element approximationof the model and prove an error between the exact solution andthe approximate solution for the current density of order (h+  t)1/2. Numerical simulations for a variety of given sourcecurrents are presented. |
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| Keywords: | finite elements superconductivity Bean Model Stefan problem. |
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