A SIE-PDE Formulation with Non-conformal Meshes for Electromagnetic Analysis

A hybrid surface integral equation partial differential equation (SIE-PDE) formulation with non-conformal meshes is proposed to solve the electromagnetic problems. An equivalent model with only the electric current density is first constructed for piecewise homogeneous media, which is then enforced into the Helmholtz equation as an excitation. A connection matrix is carefully constructed to couple the SIE and PDE formulations without any additional requirements upon the boundary conditions and meshes. Therefore, non-conformal meshes are fully supported, which is extremely flexible to model complex structures. Numerical results show that it is accurate, efficient and flexible to solve electromagnetic problems.