Recent advances in perfectly matched layers in finite element applications

Ozgun O., KUZUOĞLU M.

TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, cilt.16, sa.1, ss.57-66, 2008 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2008
  • Dergi Adı: TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.57-66
  • Anahtar Kelimeler: finite element method (FEM), perfectly matched layer (PML), locally-conformal PML, multi-center PML, complex coordinate stretching, electromagnetic scattering., MESH TRUNCATION, CONSTITUTIVE PARAMETERS, ANISOTROPIC ABSORBERS, PML, IMPLEMENTATION, DERIVATION, SCATTERING
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We present a comparative evaluation of two novel and practical perfectly matched layer (PML) implementations to the problem of mesh truncation in the finite element method (FEM): locally-conformal PML, and multi-center PML techniques. The most distinguished feature of these methods is the simplicity and flexibility to design conformal PMLs over challenging geometries, especially those with curvature discontinuities, in a straightforward way without using artificial absorbers. These methods are based on specially- and locally-defined complex coordinate transformations inside the PML region. They can easily be implemented in a conventional FEM by just replacing the nodal coordinates inside the PML region by their complex counterparts obtained via complex coordinate transformation. After overviewing the theoretical bases of these methods, we present some numerical results in the context of two- and three-dimensional electromagnetic radiation/scattering problems.