The paper proves that the energy-based magnetic hysteresis operator is strongly monotone and semi-smooth, and that a semi-smooth Newton method for the resulting scalar potential finite element problem converges globally, mesh-independently, and locally superlinearly.
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A semi-smooth Newton method for magnetic field problems with hysteresis
The paper proves that the energy-based magnetic hysteresis operator is strongly monotone and semi-smooth, and that a semi-smooth Newton method for the resulting scalar potential finite element problem converges globally, mesh-independently, and locally superlinearly.