Application of Cagniard de Hoop Method to the Analysis of Perfectly Matched Layers

Julien Diaz 1, 2 Patrick Joly 3
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We show how Cagniard de Hoop method can be used, first to obtain error estimates for the Perfectly Matched Layers in acoustics (PML), then to understand the instabilities of the PML when applied to aeroacousics. The principle of the methods consists in applying to the equations a Laplace transform in time and a Fourier transform in one space variable to obtain an ordinary differential equation which can be explicitely solved.
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Julien Diaz, Patrick Joly. Application of Cagniard de Hoop Method to the Analysis of Perfectly Matched Layers. 3rd IFAC Workshop on Fractional Differentiation and its Applications, Nov 2008, Ankara, Turkey. ⟨inria-00343016⟩

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