Well-posed absorbing layer for hyperbolic problems

The perfectly matched layer (PML) is an efficient tool to simulate propagation phenomena in free space on unbounded domain. In this paper we consider a new type of absorbing layer for Maxwell's equations and the linearized Euler equations which is also valid for several classes of first order hyperbolic systems. The definition of this layer appears as a slight modification of the PML technique. We show that the associated Cauchy problem is well-posed in suitable spaces. This theory is finally illustrated by some numerical results. It must be underlined that the discretization of this layer leads to a new discretization of the classical PML formulation.

Authors and Affiliations

1. Collège de France, 3 rue d'Ulm, 75 231 Paris Cedex 05, France , , , , , , FR

   Jacques-Louis Lions

2. Laboratoire MAS, Ecole Centrale de Paris, 92 295, Châtenay-Malabry Cedex, France; e-mail: Jerome.Metral@frgateway.net , , , , , , FR

   Jérôme Métral

3. Dassault Aviation, 78 quai Marcel Dassault, 92 214, St-Cloud Cedex, France , , , , , , FR

   Olivier Vacus

Received May 5, 2000 / Published online November 15, 2001

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