Application of the hybrid spectral integral method with spectral element method

Exact radiation boundary conditions are of great interest to the numerical solution of Maxwell's equations for an unbounded domain. Previously, the boundary element method has been used as an exact radiation boundary condition in the finite element method. This technique is useful and provides an accurate solution to inhomogeneous objects if the sampling density is high enough. To further improve the accuracy and efficiency of this technique, we have developed a high-order version of such a hybrid technique, i.e., an exact radiation boundary condition for the spectral element method (SEM) based on the spectral integral method (SIM) for three-dimensional electromagnetic problems. This work will demonstrate the high-accuracy and efficiency of the hybrid SIM/SEM technique for 3D scattering problems.