Abstract
The finite element method (FEM) and the boundary element method (BEM), which have entirely different features from each other, are useful for numerical analysis. The FEM suits for the analysis of such a complicated region which includes non-linear materials. However, it has some disadvantages in dealing with the infinitely extending fields. On the other hand, the BEM is useful for analyzing very large linear fields.
Taking account of the advantages in these methods, this paper describes the hybrid utilization of both methods (the hybrid FE-BE method) for the electromagnetic problems with two semi-infinite regions. Each region, which is regarded as a semi-sphere with the radius of infinite length, is onstituted of a homogeneous material. The region near the center of two semi-spheres is complicated one, which may include conductive or non-linear materials. In the hybrid FE-BE method for such problems, the BEM is applied to the semi-infinite region and the FEM to the complicated region near the center. In applying the BEM to the semi-infinite region, the boundary element integration over the interface between two homogeneous materials has to be carried out as far as infinity. This paper concerns with the elimination of the infinite boundary integration.
