GMM: A flexible framework for including multiple approximation functions in integral equation solvers

We present a highly flexible framework that permits easy hybridization of multiple basis function spaces, within the same simulation domain, for use in solution of integral equations. The method is constructed using the Generalized Method of Moments (GMM), that uses overlapping domains and a partition of unity functions defined on these domains to ensure continuity of currents. We leverage this feature to construct a method that combines arbitrary classes of basis functions on neighboring regions of a PEC scattering surface. Because the continuity of surface currents is inherent in the GMM description, basis sets may be chosen according to local physical and geometrical requirements, permitting engineering of function spaces for optimal representation. In this paper, we present example simulations that achieve hybridization with RWG basis functions. Examples of hybridization with other functions will be presented at the conference.