Properties of hysteresis models relevant in electromagnetic fields numerical solvers

The manuscript analyzes the behavior of models able to accept flux density as input field, which allows to easily implement them into electromagnetic codes formulated in terms of vector potential. In particular, two Preisach-like operators are considered: the Preisach inverse, implemented in an efficient fashion, and the Preisach pseudo-inverse. Their properties are briefly discussed and an accurate experimental analysis of their performances is reported.