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math.NA2026

Reduced Basis Method for Simulating Thermal Transients in Electric Machines

Herbert Egger, Eva-Maria Haslhofer

Reduced Basis (RB) methods provide low-dimensional approximations of parametrized partial differential equations with controllable accuracy. We discuss the construction of RB appro…

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.NA2025

A parallel-in-time solver for nonlinear degenerate time-periodic parabolic problems

Herbert Egger, Andreas Schafelner

A class of abstract nonlinear time-periodic evolution problems is considered which arise in electrical engineering and other scientific disciplines. An efficient solver is proposed…