Macroscopic modeling of magnetic hysteresis

We formulate a time incremental macroscopical rate-independent model of magnetic hysteresis. This model stems out from a mesoscopical description recently given in [29]. We show uniqueness of a solution to the time-discretized problem and existence of discrete periodic solutions. As our macroscopical model has a convex structure we solve corresponding Euler-Lagrange equations at each time step. A numerical realization of those equations is given and computational examples are presented