Approximation of hysteresis functional
Approximation of hysteresis functional
复制标题
磁滞泛函的近似
DOI：
10.1016/j.cam.2020.113356
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发表时间：
2021
影响因子：
2.4
通讯作者：
Showalter, Ralph E.
中科院分区：
文献类型：
--
作者：
Peszynska, Malgorzata;Showalter, Ralph E.
我们开发了一种基于非线性作用和广义作用的实用离散滞后模型，用于一阶守恒定律以及吸附-解吸滞后模型的应用。该模型很容易从稀疏数据中进行校准，并提供丰富的二次曲线。我们将其与离散正则化 Preisach 模型进行比较。我们还证明了涉及所有这些类型的滞后算子类的适定性和数值稳定性，描述了实现并使用实验数据提供了数值示例。
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.