On deriving a locally corrected nystrom scheme from a quadrature sampled moment method

Abstract

A novel high-order method of moment procedure with quadrature point-based discretization is presented. The scheme is equivalent to a moment method employing smooth basis and testing functions applying a fixed-point numerical quadrature approximation for the outer integral. Mapping the current to the quadrature points then leads to a formulation that is equivalent to that derived via the locally corrected Nystrom method. The convergence properties of the current density and RCS for smooth and singular geometries in two and three dimensions are also studied.