Multigrid methods for the three-dimensional simulation of nonlinear magnetomechanical systems

We present a recently developed multigrid calculation scheme for coupled magnetomechanical systems. The scheme allows the efficient calculation of three-dimensional (3-D) dynamic rigid motions as well as deformations of nonmagnetic and ferromagnetic materials in a magnetic field. Thereby, the 3-D mechanical problem is discretized with nodal elements and the 3-D magnetic problem with edge elements. Both finite element meshes may be chosen independently and thus can be separately adapted to the physical requirements of the mechanical and magnetic fields. Fast multigrid solution techniques can solve large scaled 3-D problems within very short CPU times. Three examples demonstrate the efficiency of the developed scheme.