Wave propagation in fractal trees. Mathematical and Numerical Issues

Patrick Joly 1 Maryna Kachanovska 1 Adrien Semin 2, 3
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. This emphasis is put on the construction and approximation of transparent boundary conditions. The performance of the constructed boundary conditions is then illustrated by numerical experiments.
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Patrick Joly, Maryna Kachanovska, Adrien Semin. Wave propagation in fractal trees. Mathematical and Numerical Issues. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, In press, X, ⟨10.3934/nhm.xx.xx.xx⟩. ⟨hal-01801394⟩

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