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IMA Journal of Numerical Analysis 2001 21(1):1-51; doi:10.1093/imanum/21.1.1
© 2001 by Institute of Mathematics and its Applications
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Numerical analysis of a mean field model of superconducting vortices

Charles M. Elliott1 and Vanessa Styles2

1 Centre for Mathematical Analysis and Its Applications, School of Mathematical Sciences, University of Sussex, Falmer, Brighton BN1 9QH, UK, e-mail: c.m.elliott{at}sussex.ac.uk 2 Department of Mathematics, Oxford Brookes University, Oxford OX3 0BP, UK, e-mail: v.styles{at}sussex.ac.uk

A finite volume/element approximation of a mean field model of superconducting vortices in one and two dimensions is presented. The solutions of these approximations are investigated. A finite element approximation of the free boundary problem which is a special case of the steady state solution of the model is also studied. We present some computed results from these approximations.

Received 3 December 1997. Accepted 17 May 2000.


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