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- catalog abstract "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.".
- catalog contributor b11554781.
- catalog contributor b11554782.
- catalog created "1999.".
- catalog date "1999".
- catalog date "1999.".
- catalog dateCopyrighted "1999.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- Notation and results -- The spectral function -- Proofs of the results -- Numerical algorithm -- Numerical results.".
- catalog description "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.".
- catalog extent "vi, 131 p. :".
- catalog hasFormat "Diffraction by an immersed elastic wedge.".
- catalog identifier "3540668101 (alk. paper)".
- catalog isFormatOf "Diffraction by an immersed elastic wedge.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1723.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1723".
- catalog issued "1999".
- catalog issued "1999.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Diffraction by an immersed elastic wedge.".
- catalog subject "510 s 532/.059 21".
- catalog subject "Acoustics.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "Physics.".
- catalog subject "QA3.L28 v. 1723 QA927".
- catalog subject "Wave-motion, Theory of.".
- catalog subject "Waves Diffraction.".
- catalog subject "Wedges.".
- catalog tableOfContents "Introduction -- Notation and results -- The spectral function -- Proofs of the results -- Numerical algorithm -- Numerical results.".
- catalog title "Diffraction by an immersed elastic wedge / Jean-Pierre Croisille, Gilles Lebeau.".
- catalog type "text".