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

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.