Numerical analysis of nonlinear multiharmonic eddy current problems

F Bachinger, U Langer, J Schöberl - Numerische Mathematik, 2005 - Springer
This work is devoted to non-linear eddy current problems and their numerical treatment by
the so-called multiharmonic approach. Since the sources are usually alternating currents …

Harmonic-balance finite-element modeling of electromagnetic devices: a novel approach

J Gyselinck, P Dular, C Geuzaine… - IEEE Transactions on …, 2002 - ieeexplore.ieee.org
In this paper, a novel and easy-to-implement approach to the harmonic-balance finite-
element modeling of electromagnetic devices is presented. The governing system of …

A robust preconditioned MinRes solver for distributed time-periodic eddy current optimal control problems

M Kolmbauer, U Langer - SIAM Journal on Scientific Computing, 2012 - SIAM
This work is devoted to the construction and analysis of robust solvers for some distributed
optimal control problems for time-periodic eddy current problems. We apply the …

A MSFEM to simulate the eddy current problem in laminated iron cores in 3D

K Hollaus - COMPEL-The international journal for computation and …, 2019 - emerald.com
Purpose The simulation of eddy currents in laminated iron cores by the finite element
method (FEM) is of great interest in the design of electrical devices. Modeling each laminate …

Efficient solvers for nonlinear time-periodic eddy current problems

F Bachinger, U Langer, J Schöberl - Computing and Visualization in …, 2006 - Springer
This work deals with all aspects of the numerical simulation of nonlinear time-periodic eddy
current problems, ranging from the description of the nonlinearity to an efficient solution …

A preconditioned MinRes solver for time‐periodic parabolic optimal control problems

M Kollmann, M Kolmbauer - Numerical Linear Algebra with …, 2013 - Wiley Online Library
This work is devoted to the multiharmonic analysis of parabolic optimal control problems in a
time‐periodic setting. In contrast to previous approaches, we include the cases of different …

[HTML][HTML] A robust finite element solver for a multiharmonic parabolic optimal control problem

M Kollmann, M Kolmbauer, U Langer… - … & Mathematics with …, 2013 - Elsevier
This paper presents the analysis of a distributed parabolic optimal control problem in a
multiharmonic setting. In particular, the desired state is assumed to be multiharmonic. After …

Quasi-3-D finite-element method for simulating cylindrical induction-heating devices

LAM D'Angelo, H De Gersem - IEEE Journal on Multiscale and …, 2017 - ieeexplore.ieee.org
A cylindrically symmetric problem can be simulated by a two-dimensional (2-D)
axisymmetric finite-element model by exploiting the symmetry and thus reducing the original …

Domain decomposition solvers for nonlinear multiharmonic finite element equations

DM Copeland, U Langer - 2010 - degruyter.com
In many practical applications, for instance, in computational electromagnetics, the excitation
is time-harmonic. Switching from the time domain to the frequency domain allows us to …

Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem

U Langer, M Wolfmayr - Journal of Numerical Mathematics, 2013 - degruyter.com
This paper presents the multiharmonic analysis of a distributed parabolic optimal control
problem in a time-periodic setting. We prove the existence and uniqueness of the solution of …