Wave propagation in fractal trees. Mathematical and Numerical Issues

Patrick Joly; Maryna Kachanovska; Adrien Semin

doi:10.3934/nhm.xx.xx.xx

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

2 TUB - Technische Universität Berlin

3 BTU - Brandenburg University of Technology [Cottbus – Senftenberg]

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

Domain :

Mathematics [math] / Numerical Analysis [math.NA]

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https://hal.archives-ouvertes.fr/hal-01801394
Contributor : Maryna Kachanovska <>
Submitted on : Monday, November 19, 2018 - 9:58:12 AM
Last modification on : Saturday, April 13, 2019 - 4:24:06 PM
Document(s) archivé(s) le : Wednesday, February 20, 2019 - 12:49:56 PM

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