Parametrization-free locally-conformal perfectly matched layer method for finite element solution of Helmholtz equation

ÖZGÜN Ö., KUZUOĞLU M., Beriot H., Mittra R.

Computer Physics Communications, cilt.288, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 288
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.cpc.2023.108741
  • Dergi Adı: Computer Physics Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Chemical Abstracts Core, Communication Abstracts, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Computational electromagnetics, Finite element method (FEM), Locally-conformal PML (LCPML), Mesh truncation, Perfectly matched layer (PML)
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We present a novel Locally-Conformal Perfectly Matched Layer (LCPML) method for mesh truncation in the Finite Element Method (FEM), to solve wave equations derived from Maxwell's equations. The original LCPML method was proposed by Ozgun and Kuzuoglu in 2006 [16] by utilizing the concept of complex elements in which nodal coordinates of elements are replaced by complex coordinates obtained by using a complex coordinate-transformation. In the proposed LCPML method, named as LCPML-log method, a more efficient coordinate-transformation is used together with new FEM formulation and implementation. The proposed method offers the advantage that only a few (or even a single) PML layer is sufficient to get reliable results. In addition, it does not require any PML parameter tuning, and hence, the decaying wave behavior in PML is achieved self-adaptively. The numerical results of some detailed and systematic performance analyses are also presented.