Diakoptic FEM-MoM analysis using explicit connection between field and current bases

A diakoptic technique combining the finite element method (FEM) and the method of moments (MoM), and using dual sets of higher order basis functions is proposed for analysis of 3D electromagnetic radiation and scattering structures. These bases enable efficient modeling and significant reductions in the total number of unknowns, while satisfying the natural relation between curl-conforming and divergence-conforming quantities when closing the FEM domain by a MoM surface. The new diakoptic FEM-MoM technique is validated in an example of an array of 4×4 dielectrically coated spherical metallic scatterers.