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
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

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.

Domaines: Equations aux dérivées partielles [math.AP]

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⟩