A framework for including multiple geometry descriptions and approximation spaces in MoM

We present a general framework based on the Generalized Method of Moments that enables inclusion of multiple local geometry descriptions and orders and multiple basis function types and orders in the solution of Moment Method systems. The resulting method allows arbitrary mixing of these parameters in different regions of the scatterer so that both geometric and surface current approximations may be closely, and automatically, tailored to the local geometry and physics, often resulting in a significant reduction in the MoM system size compared to traditional methods.