Adaptive finite element mesh refinement techniques in three-dimensional micromagnetic modeling

Two different methods to adaptively refine tetrahedral finite element meshes are presented. The influence of the mesh refinement on the obtained results of micromagnetic calculations is demonstrated for the case of magnetization patterns in soft magnetic platelets. The specific addition of vertices and finite elements in inhomogeneous regions is used to resolve the magnetic structure on small length scales. A method discussed in detail is the shrinking of finite elements in regions with strong inhomogeneities.