Voxel Based Finite Element Method Using Homogenization

A homogenization technique in order to improve accuracy of finite element analyses with voxel mesh is proposed. The voxel mesh is one of the effective techniques to reduce costs of mesh generation. However, poor ability of expression for curved surfaces is a drawback to be solved and decreases the accuracy of finite element analyses. In this paper, a homogenization method for the voxel elements on the surfaces of magnetic objects is introduced. The anisotropic permeability determined by the present method improves the accuracy of analyses. The numerical results show that the proposed method has smaller errors of inductance in a three dimensional magnetostatic analysis in comparison with the conventional method.