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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Format: | Texto biblioteca |
Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1999
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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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KOHA-OAI-TEST:2105232018-07-30T23:42:42ZDiffraction 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 |
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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. |
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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] / |
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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 |
_version_ |
1756268807362445312 |