Skip to Main content Skip to Navigation
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
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.
Document type :
Journal articles
Complete list of metadata

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 : Saturday, May 1, 2021 - 3:46:25 AM

File

nhm_report.pdf
Files produced by the author(s)

Identifiers

Citation

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⟩

Share

Metrics

Record views

88

Files downloads

112