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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Bibliographic Information

Book Title: Diffraction by an Immersed Elastic Wedge
Authors: Jean-Pierre Croisille, Gilles Lebeau
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0092515
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1999
Softcover ISBN: 978-3-540-66810-7Published: 15 December 1999
eBook ISBN: 978-3-540-46698-7Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 140
Topics: Numerical Analysis, Mathematical Methods in Physics, Numerical and Computational Physics, Simulation, Acoustics

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Table of contents (6 chapters)

Front Matter

Introduction

Notation and results

The spectral function

Proofs of the results

Numerical algorithm

Numerical results

Back Matter

About this book