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The magnetic behavior of iron based ferromagnetic materials is important for the improvement of performances of electromagnetic devices. This paper deals with an accelerated 3D model that computes the magnetic behavior of an iron grain under a varying applied field starting from its microscopic material parameters. The dynamics of the magnetic dipoles M in each space point of the grain are computed by integrating the Landau-Lifshitz equation using a semi-analytical predictorcorrector timedoi:10.1109/tmag.2008.916538 fatcat:lpkpylxa7zfgpn3qqvus2zmxkm