Diffraction by an Immersed Elastic Wedge [electronic resource] /

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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Main Authors: Croisille, Jean-Pierre. author., Lebeau, Gilles. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999
Subjects:Mathematics., Numerical analysis., Physics., Acoustics., Numerical Analysis., Mathematical Methods in Physics., Numerical and Computational Physics.,
Online Access:http://dx.doi.org/10.1007/BFb0092515
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spelling KOHA-OAI-TEST:2112882018-07-30T23:43:53ZDiffraction by an Immersed Elastic Wedge [electronic resource] / Croisille, Jean-Pierre. author. Lebeau, Gilles. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1999.engThis 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.Notation and results -- The spectral function -- Proofs of the results -- Numerical algorithm -- Numerical results.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.Mathematics.Numerical analysis.Physics.Acoustics.Mathematics.Numerical Analysis.Mathematical Methods in Physics.Numerical and Computational Physics.Acoustics.Springer eBookshttp://dx.doi.org/10.1007/BFb0092515URN:ISBN:9783540466987
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Numerical analysis.
Physics.
Acoustics.
Mathematics.
Numerical Analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Acoustics.
Mathematics.
Numerical analysis.
Physics.
Acoustics.
Mathematics.
Numerical Analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Acoustics.
spellingShingle Mathematics.
Numerical analysis.
Physics.
Acoustics.
Mathematics.
Numerical Analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Acoustics.
Mathematics.
Numerical analysis.
Physics.
Acoustics.
Mathematics.
Numerical Analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Acoustics.
Croisille, Jean-Pierre. author.
Lebeau, Gilles. author.
SpringerLink (Online service)
Diffraction by an Immersed Elastic Wedge [electronic resource] /
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.
format Texto
topic_facet Mathematics.
Numerical analysis.
Physics.
Acoustics.
Mathematics.
Numerical Analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Acoustics.
author Croisille, Jean-Pierre. author.
Lebeau, Gilles. author.
SpringerLink (Online service)
author_facet Croisille, Jean-Pierre. author.
Lebeau, Gilles. author.
SpringerLink (Online service)
author_sort Croisille, Jean-Pierre. author.
title Diffraction by an Immersed Elastic Wedge [electronic resource] /
title_short Diffraction by an Immersed Elastic Wedge [electronic resource] /
title_full Diffraction by an Immersed Elastic Wedge [electronic resource] /
title_fullStr Diffraction by an Immersed Elastic Wedge [electronic resource] /
title_full_unstemmed Diffraction by an Immersed Elastic Wedge [electronic resource] /
title_sort diffraction by an immersed elastic wedge [electronic resource] /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
publishDate 1999
url http://dx.doi.org/10.1007/BFb0092515
work_keys_str_mv AT croisillejeanpierreauthor diffractionbyanimmersedelasticwedgeelectronicresource
AT lebeaugillesauthor diffractionbyanimmersedelasticwedgeelectronicresource
AT springerlinkonlineservice diffractionbyanimmersedelasticwedgeelectronicresource
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