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

ÖZGÜN Ö., KUZUOĞLU M., Mittra R.

IEEE Transactions on Antennas and Propagation, vol.72, no.2, pp.2036-2040, 2024 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 72 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.1109/tap.2023.3333929
  • Journal Name: IEEE Transactions on Antennas and Propagation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.2036-2040
  • Keywords: Computational electromagnetics (CEM), coordinate stretching, edge basis functions, electromagnetic radiation and scattering, finite element method (FEM), locally conformal perfectly matched layer (LCPML), vector wave equation
  • Middle East Technical University Affiliated: Yes

Abstract

This paper presents a novel formulation of the locally-conformal perfectly matched layer (PML) method, called LCPML-log, which uses a logarithmic decay function. The method is designed to solve electromagnetic radiation and scattering problems using the 3D vector finite element method (FEM). LCPML-log has two distinct features that distinguish it from previous PML implementations. Firstly, it does not require any parameter adjustments to optimize its performance, making it self-tuning. Secondly, 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 3D scattering problems, and its effectiveness is demonstrated through numerical results.