Computation of the resonance poles associated with the scattering of acoustic waves by an obstacle in dimension 2. (Calculs des pôles de résonance associés à la diffraction d’ondes acoustiques par un obstacle en dimension 2.) (French. Abridged English version) Zbl 0760.76084

Poisson, Olivier

C. R. Acad. Sci., Paris, Sér. I 315, No. 6, 747-753 (1992).

Summary: We consider the problem of acoustic waves scattered by an obstacle, and the determination of the associated resonancies, so-called poles of the \(S\)-matrix. In the two-dimensional case, we present a new numerical method, tested and validated on the well-known cases, and so, give conjectures about their distribution.

MSC:

76Q05	Hydro- and aero-acoustics
76M10	Finite element methods applied to problems in fluid mechanics

Keywords:

Newton method; \(S\)-matrix