Locally conformal perfectly matched layer (PML) is extended to a high order FEM combined with curvilinear elements and high order basis functions, which proves accuracy and efficiency. It is able to handle challenging geometries with arbitrary curvatures with few unknown numbers, especially those with curvature discontinuities. Validity of the proposed method is demonstrated.

Finite element tearing and interconnecting method(FETI) is used in analyzing electromagnetic scattering of complex medium.It decomposes computational space and complex medium.With reasonable operations of algebra,a 3D problem is changed to a 2D problem.It reduces computational complexity.By using Krylov solver,computation of reverse matrix is avoid in the equation about interface system.Numerical results show that the method is accurate and efficient for electromagnetic scattering of complex medium.

Electromagnetic scattering of conducting targets located above lossy half-space is analyzed with multilevel fast multipole algorithm (MLFMA).In order to expand half space Green's functions with addition theorem,a high order approximation method is proposed for evaluation of reflection term of half-space Green's functions with far interactions.A careful investigation is presented to confirm accuracy of the Green's function analysis.Accuracy and efficiency of the proposed method is examined by several numerical applications.It demonstrates that the proposed method has merit of low memory requirement and simple operation.