Volume integral equation combined with ODDM for analysis of EM scattering from inhomogeneous anisotropie nonmagnetic dielectric objects

In this paper, the volume integral equation (VIE) combined with overlapping domain decomposition method (ODDM) is presented for analysis of electromagnetic (EM) scattering from inhomogeneous anisotropic nonmagnetic dielectric objects. Discretizing a volumetric domain of electrically large size by using tetrahedra usually produces too many unknowns for the traditional VIE-MoM to accommodate. However, the VIE combined with ODDM (VIE-ODDM) can overcome this difficulty. In the VIE-ODDM, at any time, only one subdomain problem needs to be stored in host memory, significantly reducing memory requirement. Numerical results are provided to demonstrate the validity and efficiency of the proposed method.