Analytical Method for Computing Inverse Preisach Model

This article presents a computational code for implementing the analytical method of the inverse Preisach model. The inverse Preisach model is a mathematical framework for describing hysteresis phenomena, with applications across multiple disciplines including magnetics, physics, and materials science. We provide a detailed explanation of the computational steps and fundamental principles underlying the inverse Preisach model, along with specific implementation approaches in the code architecture. The implementation typically involves discretization of the Preisach plane, numerical integration techniques, and specialized functions for hysteresis loop inversion algorithms. Furthermore, we discuss optimization strategies for enhancing computational efficiency, such as memory management for Preisach weight distribution storage and parallel processing of hysteresis operators. The article also examines potential applications in smart material characterization and magnetic device simulation, while addressing limitations related to computational complexity and model identification accuracy for real-world materials.