Generalized method of moments: A flexible discretization scheme for integral equations using locally smooth surface approximations

This work develops a framework for the numerical solution of scattering from PEC objects using integral equations. This scheme called the generalized method of moments (GMM) provides a high degree of flexibility in the choice of spatial and functional discretization. The method allows for the arbitrary variation of patch size, basis function type and order to describe both the surface of the scatterer itself, and the functions that represent the surface current. Examples are provided that both validate, and demonstrate the flexibility of the proposed scheme.