A mathematical analysis of the resonance of the finite thin slots

Marianne Clausel (1, 2) , Marc Duruflé (1, 2) , Patrick Joly (2, 1) , Sébastien Tordeux (1, 2, 3)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
2 ONDES - Modeling, analysis and simulation of wave propagation phenomena
3 UMA - Unité de Mathématiques Appliquées

In this article we are interested in the asymptotic behaviour of the solution of a wave propagation problem in a domain including a thin slot. Some rate of convergences are obtained and illustrated by numerical results.

Domains: Mathematics [math]; Analysis of PDEs [math.AP]

Marianne Clausel, Marc Duruflé, Patrick Joly, Sébastien Tordeux. A mathematical analysis of the resonance of the finite thin slots. Applied Numerical Mathematics, 2006, 56 (10-11), pp.1432-1449. ⟨hal-00404068⟩