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20232026
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6 papers · 1 filter

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

On the convergence of higher order finite element methods for nonlinear magnetostatics

Herbert Egger, Felix Engertsberger, Bogdan Radu

The modeling of electric machines and power transformers typically involves systems of nonlinear magnetostatics or -quasistatics, and their efficient and accurate simulation is req…

math.NA2024

A reduced scalar potential approach for magnetostatics avoiding the coenergy

Herbert Egger, Felix Engertsberger, Bogdan Radu

The numerical solution of problems in nonlinear magnetostatics is typically based on a variational formulation in terms of magnetic potentials, the discretization by finite element…

math.NA2024

Global convergence of iterative solvers for problems of nonlinear magnetostatics

Herbert Egger, Felix Engertsberger, Bogdan Radu

We consider the convergence of iterative solvers for problems of nonlinear magnetostatics. Using the equivalence to an underlying minimization problem, we can establish global line…

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…