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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
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
2 TU Darmstadt - Technische Universität Darmstadt
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.
Keywords : Laplace equation Helmholtz equation fractal graph domain boundary operator functional approximation
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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 : Friday, July 8, 2022 - 10:09:30 AM

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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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