Approximation of Hysteresis Functional
Numerical Analysis
2020-12-18 v1 Numerical Analysis
Analysis of PDEs
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.
Cite
@article{arxiv.2012.09362,
title = {Approximation of Hysteresis Functional},
author = {Malgorzata Peszynska and Ralph E. Showalter},
journal= {arXiv preprint arXiv:2012.09362},
year = {2020}
}