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Diffraction by an immersed elastic wedge / Jean-Pierre Croisille, Gilles Lebeau.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1723.Publication details: Berlin ; New York : Springer, ©1999.Description: 1 online resource (vi, 134 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540466987
  • 3540466983
Subject(s): Additional physical formats: Print version:: Diffraction by an immersed elastic wedge.DDC classification:
  • 510 s 532/.059 21
LOC classification:
  • QA3 .L28 no. 1723 QA927
Online resources:
Contents:
Introduction -- Notation and results -- The spectral function -- Proofs of the results -- Numerical algorithm -- Numerical results.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

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

Introduction -- 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.

English.

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