Diffraction by an Immersed Elastic Wedge

1999
ISBN: 978-3-540-66810-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1723, 140 Seiten, Format (B × H): 155 mm x 233 mm, Gewicht: 234 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Lebeau, Gilles

Croisille, Jean-Pierre

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

Notation and results.- The spectral function.- Proofs of the results.- Numerical algorithm.- Numerical results.