Speed up the hybrid FEM+IE formulation using a low-rank matrix approximation

The paper addresses a methodology for hybridizing the finite element method with the integral equation method, FEM/IE, for unbounded scattering or radiation problems in electromagnetics. The methodology also speeds up the IE portion of the computation using a single-level low-rank matrix approximation. The motivation for this research has been the challenging problem of analyzing electrically large EM problems involving heterogeneous bodies, such as scattering by aircraft and ships and radiation by large antenna arrays.