Three-Dimensional Computation of Magnetic Fields in Hysteretic Media With Time-Periodic Sources

In this paper, we present a 3-D numerical model of an integral formulation for the efficient computation of 3-D magnetic fields in hysteretic media with (time) periodic sources. The hysteretic medium is described by an isotropic vector generalization of the classical scalar Jiles-Atherton model. The nonlinear algebraic system is solved using Picard-Banach iterations in the frequency domain. The full matrices arising after the discretization of the main (linear) operators are suitably compressed and distributed among the nodes of a parallel computer system. The numerical model is applied for the nondestructive micromagnetic characterization (of mechanical properties) in metallic materials. In particular, the problem of estimating incremental permeability is analyzed.