The use of high-order non-uniform grids in the method of moments applied to electromagnetic scattering

The use of non-uniform grids in the MoM applied to electromagnetic scattering has been presented. After writing the classical MoM in an operator formulation, it was shown how a non-uniform grid could be built and how it can decrease the size of the algebraic system to be solved. Then, the utility of the transfinite interpolation was shown in order to satisfy the boundary conditions in the non-uniform grid. Finally, applications to electromagnetic scattering by biological tissues were shown. Although this method has been studied for 2D geometries, it could be developed in three-dimensional cases.