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Diffraction by an immersed elastic wedge

This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence. The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator connected...

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Detalles Bibliográficos
Autores principales: Croisille, Jean-Pierre, Lebeau, Gilles
Lenguaje:eng
Publicado: Springer 1999
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0092515
http://cds.cern.ch/record/1691476
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author Croisille, Jean-Pierre
Lebeau, Gilles
author_facet Croisille, Jean-Pierre
Lebeau, Gilles
author_sort Croisille, Jean-Pierre
collection CERN
description This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence. The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator connected with the coupled linear problem elasticity/fluid by the wedge interface. This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles. The method can be applied to any problem of coupled waves by a wedge interface. This work is of interest for any researcher concerned with high frequency wave scattering, especially mathematicians, acousticians, engineers.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
publisher Springer
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spelling cern-16914762021-04-21T21:09:38Zdoi:10.1007/BFb0092515http://cds.cern.ch/record/1691476engCroisille, Jean-PierreLebeau, GillesDiffraction by an immersed elastic wedgeMathematical Physics and MathematicsThis monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence. The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator connected with the coupled linear problem elasticity/fluid by the wedge interface. This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles. The method can be applied to any problem of coupled waves by a wedge interface. This work is of interest for any researcher concerned with high frequency wave scattering, especially mathematicians, acousticians, engineers.Springeroai:cds.cern.ch:16914761999
spellingShingle Mathematical Physics and Mathematics
Croisille, Jean-Pierre
Lebeau, Gilles
Diffraction by an immersed elastic wedge
title Diffraction by an immersed elastic wedge
title_full Diffraction by an immersed elastic wedge
title_fullStr Diffraction by an immersed elastic wedge
title_full_unstemmed Diffraction by an immersed elastic wedge
title_short Diffraction by an immersed elastic wedge
title_sort diffraction by an immersed elastic wedge
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0092515
http://cds.cern.ch/record/1691476
work_keys_str_mv AT croisillejeanpierre diffractionbyanimmersedelasticwedge
AT lebeaugilles diffractionbyanimmersedelasticwedge