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

The main motivation of this paper lays in a simple yet crucial observation that most real-world electromagnetic problems all exhibit certain degrees of redundancies, locally and/or globally. Take for example a vehicle: its geometry is symmetric with respect to a mid-plane; for an antenna array or frequency selective surface the redundancies are more obvious since all elements are identical, 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.