Wave propagation in fractal trees. Mathematical and Numerical Issues - Archive ouverte HAL Access content directly
Journal Articles Networks and Heterogeneous Media Year : 2019

Wave propagation in fractal trees. Mathematical and Numerical Issues

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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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Dates and versions

hal-01801394 , version 1 (19-11-2018)
hal-01801394 , version 2 (02-04-2021)

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Patrick Joly, Maryna Kachanovska, Adrien Semin. Wave propagation in fractal trees. Mathematical and Numerical Issues. Networks and Heterogeneous Media, 2019, 14 (2), ⟨10.3934/nhm.2019010⟩. ⟨hal-01801394v2⟩
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