“…Furthermore, except under controlled situations, the impressed magnetic field usually cannot be fully characterized, secondary effects, such as reverse magnetostriction [1], [2], introduce further randomness into a material's magnetic history, and magnetic materials are in general anisotropic and inhomogeneous. Even when suitable models are available for a particular material, the identification problem [3]- [9] of matching a material's physical properties to the model's parameters is a nontrivial task. Finally, assuming one has an adequate model with appropriate parameters identified, incorporating the model into a computational algorithm that can handle hysteresis effects, such as major and minor loops, arbitrary field reversals, and permanent magnetization, is a further difficulty that must be surmounted.…”