A finite element domain decomposition technique for the analysis of large electromagnetic problems

The quest for more efficient and accurate computational electromagnetics (CEM) techniques has been vital in the design of modern engineering. The present paper proposes a novel approach for analyzing electrically large, geometrically complicated structures that involve complex materials, by systematically exploiting local or global mirror, translational or rotational symmetries in the geometry. The method is based on a recently developed domain decomposition (DD) methodology. In this work, the DD is used in conjunction with a state-of-the-art higher-order tangential vector finite element method (TVFEM) in the frequency domain. After the computational domain has been decomposed into a set of domains, each of them is discretize independently and, finally, through the DD process, are joined back together to obtain the overall solution.