03242nam 22007455 450 991014631340332120250730104845.03-540-46698-310.1007/BFb0092515(CKB)1000000000437290(SSID)ssj0000322615(PQKBManifestationID)12064930(PQKBTitleCode)TC0000322615(PQKBWorkID)10288279(PQKB)10233416(DE-He213)978-3-540-46698-7(MiAaPQ)EBC5595156(MiAaPQ)EBC6531646(Au-PeEL)EBL5595156(OCoLC)1076227309(Au-PeEL)EBL6531646(OCoLC)1113058401(PPN)155181696(EXLCZ)99100000000043729020121227d1999 u| 0engurnn#008mamaatxtccrDiffraction by an Immersed Elastic Wedge /by Jean-Pierre Croisille, Gilles Lebeau1st ed. 1999.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1999.1 online resource (VIII, 140 p.)Lecture Notes in Mathematics,1617-9692 ;1723Bibliographic Level Mode of Issuance: Monograph3-540-66810-1 Includes bibliographical references (pages [133]-134) and index.Notation and results -- The spectral function -- Proofs of the results -- Numerical algorithm -- Numerical results.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.Lecture Notes in Mathematics,1617-9692 ;1723Numerical analysisMathematical physicsAcousticsNumerical AnalysisMathematical Methods in PhysicsTheoretical, Mathematical and Computational PhysicsAcousticsNumerical analysis.Mathematical physics.Acoustics.Numerical Analysis.Mathematical Methods in Physics.Theoretical, Mathematical and Computational Physics.Acoustics.518Croisille Jean-Pierre1961-63019Lebeau GillesMiAaPQMiAaPQMiAaPQBOOK9910146313403321Diffraction by an immersed elastic wedge1906145UNINA