A Multitrace Multi - Resolution Preconditioner for Solving Piecewise Homogeneous Dielectric Objects

The development of a multitrace method including an automatic and multilevel quasi-Helmholtz decomposition, until now only applied to perfect electrical conductors, is here presented for the simulation, via the method of moments, of arbitrary complex geometries composed of piecewise homogeneous composite objects in order to improve the conditioning. A numerical experiment demonstrates the flexibility of the proposed approach for the solution of objects composed of multiple materials.