Convergence Analysis of a Numerical Method for a Mean Field Model of Superconducting Vortices

Qiang Du
2000 SIAM Journal on Numerical Analysis  
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
more » ... different interpretations to the discretization scheme.
doi:10.1137/s0036142998345517 fatcat:peq7huh6nzhmvagquv4r7sh4ea