Diffraction by an Immersed Elastic Wedge

• Main Authors: Croisille, Jean-Pierre (Author, http://id.loc.gov/vocabulary/relators/aut), Lebeau, Gilles (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Mathematics, 1723
• Subjects: Numerical analysis.; Physics.; Acoustics.; Numerical Analysis.; Mathematical Methods in Physics.; Numerical and Computational Physics, Simulation.
• Physical Description: VIII, 140 p. online resource.
• ISBN: 9783540466987
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0092515

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.