June 18,  19,  20   2003
 
 
 

02:00 PM - Wednesday, June 18, 2003 - Amphitheater Darboux

Patrick Joly

Unité de recherche de Rocquencourt
INRIA
Domaine de Voluceau-Rocquencourt
B.P. 105 - 78153 Le Chesnay Cedex France

patrick.joly@inria.fr

Perfectly Matched Layers for Linear Wave Propagation

The Perfectly Matched Layer (PML) method is a technique that has been recently introduced (initially by J. P. Berenger for Maxwell'equations) for dealing with the question of the reduction to a bounded domain of a problem naturally posed in an unbounded domain. This technique has somewhat revolutionnarized the domain and has attracted, for various reasons, a lot a people in the Computational Wvae Propagation community. However, there are still open questions : the mathematical theory is still not completely clear, in particular for what concerns the well-posedness and stability ot time-dependent problems. In this talk, I will briefly recall the construction of the PML's and will review some recent results concerning their mathematical ananysis that I will illustrate by various numerical examples. I will in particular emphasize some stability problems in the case of anisotropic wave propagation.