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Mathematical and numerical modeling of wave propagation in fractal trees

Patrick Joly 1 Adrien Semin 2
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
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. © 2011.
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Submitted on : Friday, August 30, 2013 - 1:25:25 PM
Last modification on : Thursday, August 5, 2021 - 2:54:02 PM

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Patrick Joly, Adrien Semin. Mathematical and numerical modeling of wave propagation in fractal trees. Comptes Rendus. Mathématique, Centre Mersenne (2020-..) ; Elsevier Masson (2002-2019), 2011, 349 (19-20), pp.1047-1051. ⟨10.1016/j.crma.2011.09.008⟩. ⟨hal-00849570⟩

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