Mixed finite element method for magnetostatics in R/sup 3/

We present a mixed formulation for magnetostatics with magnetic field H and magnetic vector potential A as state variables. H is interpolated with edge elements and A with facet elements. The solution of the discretized problem is unique. However, the matrix of the system of equations is ill-conditioned. We give an efficient algorithm to solve it and present numerical results for Problem 13 of TEAM Workshop which show the good accuracy provided by this method.