Mixed-order basis functions for the locally-corrected Nyström method

The applications of mixed-order basis functions for the locally-corrected Nyström method (LCN), were described. For the electric field integral equation (EFIE) operator, basis functions must represent current density and charge density, since static term requires divergence of current density. The mixed order basis were applied to solution of a surface integral operator (SIE) representing electromagnetic scattering by composite material and conducting objects. It is observed that minimum eigenvalues of the EFIE and combined field integral equation (CFIE) for the polynomial complete (P.C.) basis approach zero, leads to large condition numbers.