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On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations

Published online by Cambridge University Press:  15 April 2002

Eliane Bécache  and
Patrick Joly
Eliane Bécache
Affiliation:
INRIA, Domaine de Voluceau-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. eliane.becache@inria.fr.; patrick.joly@inria.fr.
Patrick Joly
Affiliation:
INRIA, Domaine de Voluceau-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. eliane.becache@inria.fr.; patrick.joly@inria.fr.
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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.

Keywords

Absorbing layersPMLMaxwell's equationsstabilityhyperbolic systemsFourier analysisenergy techniquesYee's scheme.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 1 , January 2002 , pp. 87 - 119
Copyright
© EDP Sciences, SMAI, 2002

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