$Diffraction by an Immersed Elastic Wedge - Jean-Pierre Croisille, Gilles Lebeau$

Diffraction by an Immersed Elastic Wedge

Jean-Pierre Croisille, Gilles Lebeau (Autoren)

Buch | Softcover

VIII, 140 Seiten

1999 | 1999
Springer Berlin (Verlag)
978-3-540-66810-7 (ISBN)

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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.

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

Erscheint lt. Verlag	15.12.1999
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 140 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	282 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
Schlagworte	acoustics • Beugung • Beugung / Diffraktion • diffraction • Numerical analysis • Numerik • Partielle Differenzialgleichungen • scattering • Wave • wave equation
ISBN-10	3-540-66810-1 / 3540668101
ISBN-13	978-3-540-66810-7 / 9783540668107
Zustand	Neuware