A discretization framework for scalar integral equations using the generalized method of moments and locally smooth surface approximations

This work applies the generalized method of moments (GMM) to the analysis of scalar integral equations using a locally smooth approximation to the surface. The GMM has been developed in the past on overlapping, piece-wise smooth tessellations. Here a new locally smooth surface mapping scheme is used to develop the GMM patches. The GMM is used to discretize the double layer potential formulation for acoustic scattering from hard targets. Sample results are presented that compare the RCS between the new GMM formulation and analytical data, as well as with the original GMM formulation on piecewise smooth tessellations. More results and application to the discretization of the Burton Miller formulation will be presented at the conference.