Convergence analysis of a numerical method for a mean field model of superconducting vortices

In the mean field models of superconductivity, the individual vortex-like s tructures occurring in practical type-II superconductors are averaged and a vortex density is solved for them. The numerical solution of the mean fiel d models makes large-scale simulations of vortex phenomena possible. In thi s paper, we present a simple convergence analysis for a numerical method ba sed on hybrid finite element/finite volume/finite difference approximations in the two-dimensional case, by providing various different interpretation s to the discretization scheme.