Mathematical and numerical modeling of wave propagation in fractal trees

Patrick Joly (1) , Adrien Semin (2)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
2 IACM-FORTH - Department of Applied Mathematics [Heraklion]

We propose and analyze a mathematical model for wave propagation in infinite trees with self-similar structure at infinity. The emphasis is put on the construction and approximation of transparent boundary conditions. © 2011.

Domaines: Physique mathématique [math-ph]

Patrick Joly, Adrien Semin. Mathematical and numerical modeling of wave propagation in fractal trees. Comptes Rendus. Mathématique, 2011, 349 (19-20), pp.1047-1051. ⟨10.1016/j.crma.2011.09.008⟩. ⟨hal-00849570⟩