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Convergence Analysis of a Numerical Method for a Mean Field Model of Superconducting Vortices
2000
SIAM Journal on Numerical Analysis
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In the mean field models of superconductivity, the individual vortex-like structures occurring in practical type-II superconductors are averaged and a vortex density is solved for them. The numerical solution of the mean field models makes large-scale simulations of vortex phenomena possible. In this paper, we present a simple convergence analysis for a numerical method based on hybrid finite element/finite volume/finite difference approximations in the two-dimensional case, by providing
doi:10.1137/s0036142998345517
fatcat:peq7huh6nzhmvagquv4r7sh4ea