Approximation of Hysteresis Functional

2020/12/17 by Malgorzata Peszynska, Peszynska, Malgorzata, Ralph E. Showalter +1 · 1 citation
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #cs.NA #math.AP #math.NA

paper · pdf · doi:10.48550/arxiv.2012.09362

arxiv created 2020/12/17 · arxiv updated 2020/12/18

Abstract

We develop a practical discrete model of hysteresis based on nonlinear play and generalized play, for use in first-order conservation laws with applications to adsorption-desorption hysteresis models. The model is easy to calibrate from sparse data, and offers rich secondary curves. We compare it with discrete regularized Preisach models. We also prove well-posedness and numerical stability of the class of hysteresis operators involving all those types, describe implementation and present numerical examples using experimental data.

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