Multigrid methods for the fast numerical simulation of coupled magnetomechanical systems

A recently developed calculation scheme for the numerical simulation of the transient behavior of magnetomechanical systems is presented. The scheme i s based on the Finite-Element-Method (FEM) and allows the precise numerical calculation of dynamic rigid motions as well as deformations of magnetic a nd non-magnetic materials in a magnetic field. The solution process is cons iderably accelerated by using different grids for the mechanical and the ma gnetic field and solving the coupled system with an implicit Multigrid Meth od (MG). The applicability of the developed calculation technique will be demonstrat ed by the 3D computation of the transient behavior of an magnetically excit ed aluminum plate. Thereby, the parabolic PDE of the magnetic field has to be coupled to the hyperbolic PDE of the mechanical field. Numerical simulat ion results show good agreement with measured data.