Hybrid Eccentric SIM With Embedded Ring/Separate Elliptic SEM

In this paper, we propose a complicated biaxially anisotropic multiple spectral integral method (SIM), both nested vertical multilayers and separate eccentric elliptical cylinders embedded in the same lateral layer are considered simultaneously. Furthermore, a hybrid SIM/spectral element method (SEM) is proposed, in which SIM is used as the truncated boundary condition for the discretized arbitrary anisotropic subregions by SEM. Two examples corresponding to these two methods are well matched with COMSOL respectively.