Diffraction by an Immersed Elastic Wedge [electronic resource] / by Jean-Pierre Croisille, Gilles Lebeau.

By: Croisille, Jean-Pierre [author.]Contributor(s): Lebeau, Gilles [author.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1723Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1999Description: VIII, 140 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540466987Subject(s): Mathematics | Numerical analysis | Mathematical physics | Physics | Acoustics | Mathematics | Numerical Analysis | Mathematical Methods in Physics | Numerical and Computational Methods | AcousticsAdditional physical formats: Printed edition:: No titleDDC classification: 518 LOC classification: QA297-299.4Online resources: Click here to access online
Contents:
Notation and results -- The spectral function -- Proofs of the results -- Numerical algorithm -- Numerical results.
In: Springer eBooksSummary: 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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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.

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