Adaptively computed large overlapping functions for MoM computations

A method is presented for creating a new type of basis functions on bodies of arbitrary shape and material properties. These functions are adapted to that body so that only two per wavelength create a significant electromagnetic effect at a distance. This effect is maximized by overlapping functions and a numerical method that tapers the functions at their ends. Overlapping functions are used, while approximately maintaining orthogonality of the functions. This is analogous to using a taper function on an antenna. This maximizes the weakness of the effect at a distance of most of these functions, while still having two per wavelength that have a strong effect at a distance. A new feature of this work is the use of tapered overlapping nearly orthogonal functions. These functions give a highly sparse MoM Impedance matrix.