activity
20242026
collaborators

10 papers

math.NA2026

A semi-smooth Newton method for efficient evaluation of the inverse hysteresis operator

Herbert Egger, Felix Engertsberger

We study the numerical evaluation of an energy-based vector hysteresis model and its incorporation into finite element simulations based on a vector potential formulation. The inhe…

math.NA2025

Efficient evaluation of forward and inverse energy-based magnetic hysteresis operators

Herbert Egger, Felix Engertsberger, Andreas Schafelner

The energy-based vector hysteresis model of Francois-Lavet et al. establishes an implicit relation between magnetic fields and fluxes via internal magnetic polarizations which are…

math.NA2025

On the vector potential formulation with an energy-based hysteresis model and its numerical solution

Herbert Egger, Felix Engertsberger

The accurate modelling and simulation of electric devices involving ferromagnetic materials requires the appropriate consideration of magnetic hysteresis. We discuss the systematic…

math.NA2025

A semi-smooth Newton method for magnetic field problems with hysteresis

Herbert Egger, Felix Engertsberger

Ferromagnetic materials exhibit anisotropy, saturation, and hysteresis. We here study the incorporation of an incremental vector hysteresis model representing such complex behavior…

math.NA2024

On energy consistent vector hysteresis operators

Herbert Egger, Felix Engertsberger, Lukas Domenig +2

Incremental models for magnetic vector hysteresis have been developed in previous works in accordance with basic principles of thermodynamics. In this paper, we present an equivale…

math.NA2024

On nonlinear magnetic field solvers using local Quasi-Newton updates

Herbert Egger, Felix Engertsberger, Lukas Domenig +2

Fixed-point or Newton-methods are typically employed for the numerical solution of nonlinear systems arising from discretization of nonlinear magnetic field problems. We here discu…