Étude numérique des pôles de résonance associés à la diffraction d'ondes acoustiques et élastiques par un obstacle en dimension 2

DOI10.1051/m2an/1995290708191zbMath0851.65072OpenAlexW2526231616MaRDI QIDQ4866667

Olivier Poisson

Publication date: 26 November 1996

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193793

zbMATH Keywords

algorithmconvergencewave equationfinite element methodCauchy problemscatteringboundary element methoddiffractionacoustic waveselastic waves

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

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• Scattering frequencies and Gevrey 3 singularities
• Scattering theory for the d'Alembert equation in exterior domains
• On the poles of the scattering matrix for two strictly convex obstacles: An addendum
• Meromorphic families of compact operators
• Simple poles of operator-valued functions
• La relation de possion pour l'equation des ondes dans un ouvert non borne application a la theorie de la diffusion
• Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension $2$

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