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Diffraction by an Immersed Elastic Wedge

  • Book
  • © 1999

Overview

Authors:
  1. Jean-Pierre Croisille
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  2. Gilles Lebeau
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1723)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VI
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  2. Introduction

    • Jean-Pierre Croisille, Gilles Lebeau
    Pages 1-2

  3. Notation and results

    • Jean-Pierre Croisille, Gilles Lebeau
    Pages 3-26

  4. The spectral function

    • Jean-Pierre Croisille, Gilles Lebeau
    Pages 27-56

  5. Proofs of the results

    • Jean-Pierre Croisille, Gilles Lebeau
    Pages 57-78

  6. Numerical algorithm

    • Jean-Pierre Croisille, Gilles Lebeau
    Pages 79-95

  7. Numerical results

    • Jean-Pierre Croisille, Gilles Lebeau
    Pages 97-125

  8. Back Matter

    Pages 127-134
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Keywords

About this book

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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