Diffraction by an Immersed Elastic Wedge
Croisille, Jean-Pierre.
Diffraction by an Immersed Elastic Wedge [electronic resource] / by Jean-Pierre Croisille, Gilles Lebeau. - VIII, 140 p. online resource. - Lecture Notes in Mathematics, 1723 0075-8434 ; . - Lecture Notes in Mathematics, 1723 .
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.
9783540466987
10.1007/BFb0092515 doi
Numerical analysis.
Mathematical physics.
Acoustics.
Numerical Analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Acoustics.
QA297-299.4
518
Diffraction by an Immersed Elastic Wedge [electronic resource] / by Jean-Pierre Croisille, Gilles Lebeau. - VIII, 140 p. online resource. - Lecture Notes in Mathematics, 1723 0075-8434 ; . - Lecture Notes in Mathematics, 1723 .
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.
9783540466987
10.1007/BFb0092515 doi
Numerical analysis.
Mathematical physics.
Acoustics.
Numerical Analysis.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Acoustics.
QA297-299.4
518