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On the analysis of Bérenger's perfectly matched layers for Maxwell's equations

Eliane Bécache 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger [3] for designing efficient numerical absorbing layers in electromagnetism. We make a mathematical analysis of this model, first via a modal analysis with standard Fourier techniques, then via energy techniques. We obtain uniform in time stability results (that make precise some results known in the literature) and state some energy decay results that illustrate the absorbing properties of the model. This last technique allows us to prove the stability of the Yee's scheme for discretizing PML's.
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Submitted on : Tuesday, May 13, 2014 - 11:05:04 AM
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Eliane Bécache, Patrick Joly. On the analysis of Bérenger's perfectly matched layers for Maxwell's equations. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2002, 36 (1), pp.87-119. ⟨10.1051/m2an:2002004⟩. ⟨hal-00990161⟩



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