Efficient Implementation of the UPML in the Generalized Finite-Difference Time-Domain Method

Authors :: Ruben Rodriguez Torrado
Laurent Bernard
Lionel Pichon
Laboratoire de génie électrique de Paris (LGEP)
Université Paris-Sud - Paris 11 (UP11)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Ecole Supérieure d'Electricité - SUPELEC (FRANCE)-Centre National de la Recherche Scientifique (CNRS)
Schneegans, Olivier
Source :: IEEE Transactions on Magnetics, IEEE Transactions on Magnetics, 2010, 46 (8), pp.3492-3495, IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2010, 46 (8), pp.3492-3495
Publication Year :: 2010
Publisher :: Institute of Electrical and Electronics Engineers (IEEE), 2010.
Abstract: In this paper, we show how to use hexahedral and prismatic elements for the efficient development of uniaxial anisotropic dispersive media (UPML) around an initial unstructured tetrahedral primal mesh using the generalized finite-difference (GFD) method. The initial mesh is assumed to have plane external boundaries. Taking into account the properties of the UPML medium, we build a special discrete Hodge in order to have a simple scheme for the time-domain solution of Maxwell's equations. The method is presented for the general 3-D case and numerical results show its efficiency.

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