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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…
math.NA2024
Stability and convergence of the penalty formulation for nonlinear magnetostatics
Herbert Egger, Felix Engertsberger, Klaus Roppert
The magnetostatic field distribution in a nonlinear medium amounts to the unique minimizer of the magnetic coenergy over all fields that can be generated by the same current. This…