Well-posed absorbing layer for hyperbolic problems |
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Authors: | Jacques-Louis Lions Jérôme Métral Olivier Vacus |
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Institution: | (1) Collège de France, 3 rue d'Ulm, 75 231 Paris Cedex 05, France , FR;(2) Laboratoire MAS, Ecole Centrale de Paris, 92 295, Chatenay-Malabry Cedex, France; e-mail: Jerome.Metral@frgateway.net , FR;(3) Dassault Aviation, 78 quai Marcel Dassault, 92 214, St-Cloud Cedex, France , FR |
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Abstract: | Summary. 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.
Received May 5, 2000 / Published online November 15, 2001 |
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Keywords: | Mathematics Subject Classification (1991): 65M60 |
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