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Comptes Rendus Mathématique
Volume 349, n° 19-20
pages 1047-1051 (novembre 2011)
Doi : 10.1016/j.crma.2011.09.008
Received : 1 August 2011 ;  accepted : 13 September 2011
Mathematical and numerical modeling of wave propagation in fractal trees
Modélisation mathématique et numérique de la propagation dʼondes dans des arbres fractals
 

Patrick Joly a , Adrien Semin b
a POEMS, UMR 7231, CNRS-ENSTA-INRIA, INRIA, domaine de Voluceau, 78153 Le Chesnay cedex, France 
b Applied Mathematics, University of Crete and IACM/FORTH, 71409 Heraklion, Greece 

Abstract

We propose and analyze a mathematical model for wave propagation in infinite trees with self-similar structure at infinity. The emphasis is put on the construction and approximation of transparent boundary conditions.

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Résumé

Nous proposons et analysons un modèle mathématique pour la propagation dʼondes dans des arbres infinis qui sont auto-similaires à lʼinfini. Lʼaccent est mis sur la construction et lʼapproximation de conditions aux limites transparentes.

The full text of this article is available in PDF format.


© 2011  Published by Elsevier Masson SAS de la part de Académie des sciences.
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