Recent Advances in Perfectly Matched Layers in Finite Element Applications

Authors : Özlem ÖZGÜN and Mustafa KUZUOĞLU

Pages : 57-66

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We present a comparative evaluation of two novel and practical perfectly matched layer insert ignore into journalissuearticles values(PML); implementations to the problem of mesh truncation in the finite element method insert ignore into journalissuearticles values(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.
Keywords : Finite element method FEM, perfectly matched layer PML, locally conformal PML, multi center PML, complex coordinate stretching, electromagnetic scattering