Publications

Title : On the analysis of Bérenger's perfectly matched layers for Maxwell's equations
Year : 2002
Type : paper in peer-reviewed journal
Authors : É. Bécache, P. Joly
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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Reference : ESAIM: Mathematical Modelling and Numerical Analysis - vol. 36(1) (pp 87-119 )