On the long-time behavior of unsplit Perfectly Matched Layers

Eliane Bécache 1 Peter G. Petropoulos Stephen Gedney
1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
Abstract : Some recent work \cite{jsc} have shown that the «classical» models of Perfectly Matched Layers (PML), typically used as Absorbing Boundary Condition- s in Computational Electromagnetics codes, could lead to long-time linear growth of the solution. We propose here new PML which eliminate this undesirab- le long-time behavior. For these new PML equations, we give energy arguments that show the fields in the layer are bounded by a time-independent constant hence they are long-time stable. Numerical experiments confirm the elimination of the linear growth, and the long-time boundedness of the fields.
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Submitted on : Tuesday, May 23, 2006 - 7:38:58 PM
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Eliane Bécache, Peter G. Petropoulos, Stephen Gedney. On the long-time behavior of unsplit Perfectly Matched Layers. [Research Report] RR-4538, INRIA. 2002. ⟨inria-00072050⟩

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