Diffraction by an Immersed Elastic Wedge

  • Authors
  • Jean-Pierre¬†Croisille
  • Gilles¬†Lebeau

Part of the Lecture Notes in Mathematics book series (LNM, volume 1723)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Jean-Pierre Croisille, Gilles Lebeau
    Pages 1-2
  3. Jean-Pierre Croisille, Gilles Lebeau
    Pages 3-26
  4. Jean-Pierre Croisille, Gilles Lebeau
    Pages 27-56
  5. Jean-Pierre Croisille, Gilles Lebeau
    Pages 57-78
  6. Jean-Pierre Croisille, Gilles Lebeau
    Pages 79-95
  7. Jean-Pierre Croisille, Gilles Lebeau
    Pages 97-125
  8. Back Matter
    Pages 127-134

About this book

Introduction

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.

Keywords

acoustics diffraction numerical analysis scattering wave wave equation

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0092515
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66810-7
  • Online ISBN 978-3-540-46698-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book