Lecture Notes in Mathematics

Diffraction by an Immersed Elastic Wedge

Authors: Croisille, Jean-Pierre, Lebeau, Gilles

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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.

Table of contents (6 chapters)

  • Introduction

    Croisille, Jean-Pierre (et al.)

    Pages 1-2

  • Notation and results

    Croisille, Jean-Pierre (et al.)

    Pages 3-26

  • The spectral function

    Croisille, Jean-Pierre (et al.)

    Pages 27-56

  • Proofs of the results

    Croisille, Jean-Pierre (et al.)

    Pages 57-78

  • Numerical algorithm

    Croisille, Jean-Pierre (et al.)

    Pages 79-95

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-46698-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.00
price for USA
  • ISBN 978-3-540-66810-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Diffraction by an Immersed Elastic Wedge
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1723
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46698-7
DOI
10.1007/BFb0092515
Softcover ISBN
978-3-540-66810-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 140
Topics