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Computational micromagnetics in three dimensions is of increasing interest with the development of magnetostrictivesensors and actuators. <p>In solving the Landau-Lifshitz-Gilbert (LLG) equation, the governing equation of ...

Hysteresis in smart material actuators makes the effective use of these actuators quite challenging. The Preisach operator has been widely used to model smart material hysteresis. Motivated by positioning applications of ...

The rate-dependent hysteresis present in thin magnetostrictive actuators can be captured by a dynamic model, consisting of a Preisach operator coupled to an ordinary differential equation in an unusual way. The model ...

Hysteresis in smart materials hinders the wider applicability ofsuch materials in actuators. In this paper, a systematic approachfor coping with hysteresis is presented. The method is illustratedthrough the example of ...

Methods of numerical integration of ordinary differential equations exploiting the Cayley transform arise in a variety of contexts, ranging from the classical mid-point rule to symplectic and (almost) Poisson integrators, ...