Wideband Nested Equivalent Source Approximation of multiscale structures

Wepresent a new developed rank based method, namely the Wideband Nested Equivalent Source Approximation (WNESA) method for multiscale problems. The low rank approximation of WNESA is constructed after introducing equivalent vector source distributions on properly defined equivalence surfaces enclosing the coupling groups. The equivalent vector sources are determined by an inverse-source process that enforces equivalence of radiated fields on testing surfaces within a prescribed accuracy. Numerical experiments on a series of intrinsically multiscale geometries are carried out to demonstrate the multiscale feature of WNESA.