Fully overlapping domain decomposition method with h-refinement for finite element modeling of small features in large domains

This paper presents the h-refinement analysis of a novel fully overlapping domain decomposition approach. It was recently proposed for finite element modeling of small antenna features placed within a large non-metallic platform. The essence of the approach is to decouple a single domain containing small details from the background domain. This method avoids ill-conditioned matrices for iterative solvers, but also allows for completely unstructured meshing. Thus, it provides significant flexibility in designing in situ antennas. In this paper, the fast convergence and accuracy of the fully overlapping domain decomposition algorithm are demonstrated through h-refinement convergence analysis.