The homogenized energy model characterizes hysteresis in ferroelectric, ferromagnetic and ferroelastic compounds
through a combination of energy analysis at the lattice level and stochastic homogenization techniques
to provide macroscopic constitutive relations. Whereas this framework can characterize the frequency, stress
and temperature dependent dynamics of these compounds for a variety of operating regimes, the direct implementation
of the model is often not sufficiently efficient for applications requiring high speed simulation,
model identification, or control implementation. Here we discuss techniques to increase the efficiency of algorithms
for forward simulations and parameter identification. This significantly enhances the capability of the
model for uncertainty analysis, sensitivity analysis, model calibration, device design, and model-based control
implementation.
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