activity
20222026
most citedOn the velocity-stress formulation for geometrically nonlinear elastodynamics and its structure-preserving discretization

1 citations · 1 across the 13 of their papers we have counts for

collaborators

15 papers

math.NA2026

Efficient computation of eddy-currents for nonlinear magnetic field problems

Herbert Egger, Nepomuk Krenn, Andreas Schafelner

Estimation of eddy-current losses in conducting non-laminated components of electrical devices requires expensive three-dimensional simulations. Various approximations are therefor…

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…

cs.CE2026

The CREATOR Project: Towards a Computational Electric Machine Laboratory

Sebastian Schöps, Annette Muetze, Herbert De Gersem +3

The Collaborative Research Centre TRR 361/F90 CREATOR (2022-2030) aims at establishing a new paradigm for the simulation-driven design of electric machines. Increasing demands on e…

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…

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…

eess.SY2022★ 1 cited

On the velocity-stress formulation for geometrically nonlinear elastodynamics and its structure-preserving discretization

Tobias Thoma, Paul Kotyczka, Herbert Egger

We consider the dynamics of an elastic continuum under large deformation but small strain. Such systems can be described by the equations of geometrically nonlinear elastodynamics…