Approximation of hysteresis functional

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:389

Article

Peszynska, Malgorzata¹  Showalter, Ralph E.¹ 

[1] Oregon State Univ, Dept Math, Corvallis, OR 97331 USA

关键词: Hysteresis;    Scalar conservation law;    Numerical stability;    Nonlinear solver;    Evolution with constraints;   

DOI  :  10.1016/j.cam.2020.113356

来源: Elsevier

【 摘 要 】

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. (C) 2020 The Author(s). Published by Elsevier B.V.

【 授权许可】

Free