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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. [email protected].; [email protected].
Patrick Joly
Affiliation:
INRIA, Domaine de Voluceau-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. [email protected].; [email protected].
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Abstract

In this work, we investigate the PerfectlyMatched 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 modalanalysis with standard Fourier techniques, then via energytechniques. We obtain uniform in time stability results (that makeprecise some results known in the literature) and state some energydecay results that illustrate the absorbing properties of themodel. This last technique allows us to prove the stability of theYee'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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