A Multilevel H 2 -based Preconditioner for the Electric Field Integral Equation

We present preconditioning strategies based on the $\mathcal{H}^{2}$ -matrix arithmetic for solving dense, complex, symmetric, non-Hermitian linear systems which arise from boundary element discretizations of the Electric Field Integral Equation in electromagnetic scattering analysis. The proposed preconditioner incorporates a multilevel mechanism that offers a good balance between memory used and reduction of the number of iterations.