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Journal articles

Wave propagation in fractal trees. Mathematical and Numerical Issues

Patrick Joly 1 Maryna Kachanovska 1 Adrien Semin 2
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
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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https://hal.archives-ouvertes.fr/hal-01801394
Contributor : Maryna Kachanovska Connect in order to contact the contributor
Submitted on : Friday, April 2, 2021 - 4:48:19 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:05 PM

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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, 2019, 14 (2), ⟨10.3934/nhm.2019010⟩. ⟨hal-01801394v2⟩

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