A time domain analysis of PML models in acoustics.

Julien Diaz (1) , Patrick Joly (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

We present in this paper a time-domain analysis of PML's for non-advective and advective acoustics. We focus our attention on time-stability and error estimates (with respect to the parameters of the layers). The main new technical tool is the Cagniard-de Hoop method. Our theoretical results are validated and illustrated by various numerical results.

Keywords: Perfectly matched layers; Acoustics; Stability; Error estimates; Cagniard–de Hoop

Domains: Mathematics [math]; Analysis of PDEs [math.AP]

Julien Diaz, Patrick Joly. A time domain analysis of PML models in acoustics.. Computer Methods in Applied Mechanics and Engineering, 2006, 195 (29-32), pp.3820-3853. ⟨10.1016/j.cma.2005.02.031⟩. ⟨inria-00410313⟩