Application of the Proper Generalized Decomposition to Solve Magnetoelectric Problem

Among the model order reduction techniques, the proper generalized decomposition (PGD) has shown its efficiency to solve a large number of engineering problems. In this paper, the PGD approach is applied to solve a multi-physics problem based on a magnetoelectric device. A reduced model is developed to study the device in its environment based on an offline/online approach. In the offline step, two specific simulations are performed in order to build a PGD reduced model. Then, we obtain a model very well fitted to study in the online stage the influence of parameters like the frequency or the load. The reduced model of the device is coupled with an electric load ($R$ -$L$ ) to illustrate the possibility offered by the PGD.