Approximation by finite differences of the propagation of acoustic waves in stratified media

DOI10.1007/BF01396488zbMath0676.76075MaRDI QIDQ1123091

Jean-Claude Guillot, Patrick Joly

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133339

zbMATH Keywords

guided wavesapproximation of acoustic wavesfinite differences variational schemetwo layered media

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Reaction effects in flows (76V05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part I: Generalized Fourier transform, Fourth order schemes for the heterogeneous acoustics equation

Cites Work

• Sound propagation in stratified fluids
• Spectral and scattering theory in perturbed stratified fluids
• Théorie spectrale de la progagation des ondes acoustiques dans un milieu stratifié perturbé. (Spectral analysis of the propagation of acoustic waves in a perturbed stratified medium)
• Spectral and scattering theory in perturbed stratified fluids. II. Transmission problems and exterior domains
• Finite elements for the eigenvalue problem of differential operators in unbounded intervals
• Numerical Diffraction by a Uniform Grid
• Group Velocity in Finite Difference Schemes
• Spectral analysis of the Epstein operator
• Spectral analysis of the Pekeris operator in the theory of acoustic wave propagation in shallow water
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item