Diakoptic higher-order FEM-MoM approach

The principal objective of the work presented here is to demonstrate the proof-of-concept of coupling a higher-order finite element method (FEM) with a higher-order surface integral equation (SIE) method of moments (MoM) using the diakoptic approach. The diakoptic MoM-SIE approach has been successfully used for the electromagnetic (EM) analysis of microwave transmission lines, large scatterers, and antenna arrays [1], [2]. The diakoptic approach in this work uses coefficients calculated by a higher-order FEM code [3] and a higher-order MoM code [4], [5], and combines them to obtain the solution of the original EM problem. We briefly present the theory behind the concept and results for a case where the proposed approach is successfully applied with some diakoptic subsystems being solved using the FEM and the others using the MoM-SIE formulation.