TY - JOUR
T1 - Model order reduction using hyperreduction methods (DEIM, ECSW) for magnetodynamic FEM problems
AU - Maierhofer, Johannes
AU - Rixen, Daniel J.
N1 - Publisher Copyright:
© 2022 Elsevier B.V.
PY - 2022/10/15
Y1 - 2022/10/15
N2 - Efficient Model Order Reduction Methods for the calculation of non-linear electromagnetic systems can be realized using hyperreduction strategies that are known from structural dynamics. Precalculated full field solution snapshots are used to build a reduction basis using a singular value decomposition. The non-linear behavior is further reduced by a weighting function on selected elements. This paper presents the application of the discrete empirical interpolation method (DEIM) and the energy-conserving sampling and weighting (ECSW) method to magnetodynamic FEM problems. The magnetodynamic FEM formulation is based on the modified vector-potential in combination with edge-elements. Applying the hyperreduction methods, a significant reduction of online computational time was achieved while preserving very good accuracy of the simulation.
AB - Efficient Model Order Reduction Methods for the calculation of non-linear electromagnetic systems can be realized using hyperreduction strategies that are known from structural dynamics. Precalculated full field solution snapshots are used to build a reduction basis using a singular value decomposition. The non-linear behavior is further reduced by a weighting function on selected elements. This paper presents the application of the discrete empirical interpolation method (DEIM) and the energy-conserving sampling and weighting (ECSW) method to magnetodynamic FEM problems. The magnetodynamic FEM formulation is based on the modified vector-potential in combination with edge-elements. Applying the hyperreduction methods, a significant reduction of online computational time was achieved while preserving very good accuracy of the simulation.
KW - Discrete Empirical Interpolation Method (DEIM)
KW - Eddy-current problems
KW - Energy Conserving Sampling and Weighting (ECSW)
KW - Finite-Element-Method (FEM)
KW - Magnetodynamic
KW - Model-Order-Reduction (MOR)
KW - Non-linear models
UR - http://www.scopus.com/inward/record.url?scp=85132778640&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2022.103793
DO - 10.1016/j.finel.2022.103793
M3 - Article
AN - SCOPUS:85132778640
SN - 0168-874X
VL - 209
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
M1 - 103793
ER -