R. Hertel et H. Kronmuller, ADAPTIVE FINITE-ELEMENT MESH REFINEMENT TECHNIQUES IN 3-DIMENSIONAL MICROMAGNETIC MODELING, IEEE transactions on magnetics, 34(6), 1998, pp. 3922-3930
Two different methods to adaptively refine tetrahedral finite element
meshes are presented. The influence of the mesh refinement on the obta
ined results of micromagnetic calculations is demonstrated for the cas
e of magnetization patterns in soft magnetic platelets. The specific a
ddition of vertices and finite elements in inhomogeneous regions is us
ed to resolve the magnetic structure on small length scales. A method
discussed in detail is the shrinking of finite elements in regions wit
h strong inhomogeneities.