Substructure DDM with vector FEM for 3-D electromagnetic scattering problems

A substructure domain decomposition method (DDM) coupled with vector finite element method is developed for solving electrically large 3-D scattering problems. By decomposing the original domain into several non-overlap sub domains, once the unknowns on the interfaces among sub domains have been solved, we could get the solution of each domain independently. The presented method not only could reduce the memory requirement and computational effort greatly for 3-D scattering problems, but also becomes extremely efficient for problems with geometric repetitions, such as antenna arrays, photonic and electromagnetic band gap structures (PBG/EBGs), frequency selective surfaces (FSSs) etc.