A multilevel hierarchical preconditioning method for multiscale scattering bodies

This paper considers the solution of the electric field integral equation (EFIE). Hierarchical conforming bases are developed which are subsequently used in the construction of a multilevel Schwarz type preconditioner. The effectiveness of this approach is demonstrated by the computation of scattering from sub-wavelength scattering bodies. The resulting schemes are shown to be faster than conventional schemes up to an order of magnitude.