Model order reduction using hyperreduction methods (DEIM, ECSW) for magnetodynamic FEM problems

J Maierhofer, DJ Rixen - Finite Elements in Analysis and Design, 2022 - Elsevier
Abstract Efficient Model Order Reduction Methods for the calculation of non-linear
electromagnetic systems can be realized using hyperreduction strategies that are known …

Structure preserving model reduction of low-frequency electromagnetic problem based on POD and DEIM

L Montier, A Pierquin, T Henneron… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The Proper Orthogonal Decomposition (POD) combined with the (Discrete) Empirical
Interpolation Method (DEIM) can be used to reduce the computation time of the solution of a …

Linearization of parametric FIT-discretized systems for model order reduction

KK Stavrakakis, T Wittig, W Ackermann… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
Electrodynamic field simulations typically require the solution of large linear systems which
may depend on several variables. Model Order Reduction Techniques offer an approach to …

Multilevel model order reduction with generalized compression of boundaries for 3-D FEM electromagnetic analysis

G Fotyga, K Nyka, M Mrozowski - Progress In Electromagnetics Research, 2013 - jpier.org
This paper presents a multilevel Model Order Reduction technique for a 3-D electromagnetic
Finite Element Method analysis. The reduction process is carried out in a hierarchical way …

Finite element analysis of linear boundary value problems with geometrical parameters

R Dyczij‐Edlinger, O Farle - COMPEL-The international journal for …, 2009 - emerald.com
Purpose–The purpose of this paper is to enable fast finite element (FE) analysis of
electromagnetic structures with multiple geometric design variables. Design/methodology …

Error estimation for model-order reduction of finite-element parametric problems

S Clenet, T Henneron - IEEE Transactions on Magnetics, 2016 - ieeexplore.ieee.org
To solve a parametric model in computational electromagnetics, the finite-element (FE)
method is often used. To reduce the computational time and the memory requirement, the …

An adaptive multi-point fast frequency sweep for large-scale finite element models

A Schultschik, O Farle… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
Single-and multi-point model order reduction methods constitute two complementary
approaches to the fast finite element analysis of passive electromagnetic structures over …

Model order reduction of non-linear magnetostatic problems based on POD and DEI methods

T Henneron, S Clenet - IEEE Transactions on Magnetics, 2014 - ieeexplore.ieee.org
In the domain of numerical computation, model order reduction approaches are more and
more frequently applied in mechanics and have shown their efficiency in terms of reduction …

Model reduction for linear and nonlinear magneto‐quasistatic equations

J Kerler‐Back, T Stykel - International Journal for Numerical …, 2017 - Wiley Online Library
We consider model reduction for magneto‐quasistatic field equations in the vector potential
formulation. A finite element discretization of such equations leads to large‐scale differential …

Analysis of power magnetic components with nonlinear static hysteresis: Proper orthogonal decomposition and model reduction

Y Zhai, L Vu-Quoc - IEEE Transactions on Magnetics, 2007 - ieeexplore.ieee.org
We applied the proper orthogonal decomposition (POD) method to extract reduced-order
models to efficiently solve nonlinear electromagnetic problems governed by Maxwell's …