1.

Record Nr.

UNINA9910146313403321

Autore

Croisille Jean-Pierre <1961->

Titolo

Diffraction by an Immersed Elastic Wedge / / by Jean-Pierre Croisille, Gilles Lebeau

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1999

ISBN

3-540-46698-3

Edizione

[1st ed. 1999.]

Descrizione fisica

1 online resource (VIII, 140 p.)

Collana

Lecture Notes in Mathematics, , 1617-9692 ; ; 1723

Disciplina

518

Soggetti

Numerical analysis

Mathematical physics

Acoustics

Numerical Analysis

Mathematical Methods in Physics

Theoretical, Mathematical and Computational Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (pages [133]-134) and index.

Nota di contenuto

Notation and results -- The spectral function -- Proofs of the results -- Numerical algorithm -- Numerical results.

Sommario/riassunto

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.