Self-Tuning Locally Conformal PML Mesh Truncation for 3-D Vector Finite Element Method

This communication presents a novel formulation of the locally conformal perfectly matched layer (LCPML) method, called LCPML-log, which uses a logarithmic decay function. The method is designed to solve electromagnetic radiation and scattering problems using the 3-D vector finite element method (FEM). LCPML-log has two distinct features that distinguish it from previous PML implementations. First, it does not require any parameter adjustments to optimize its performance, making it self-tuning. Second, it needs only a single layer, which makes it cost-effective as it reduces the number of unknowns within the PML layer. The proposed method is formulated for the vector FEM based on edge basis functions for 3-D scattering problems, and its effectiveness is demonstrated through numerical results.