Numerical computation of the scattering frequencies for acoustic wave equations

DOI10.1016/0021-9991(88)90117-9zbMath0643.65080OpenAlexW2077688634MaRDI QIDQ1102089

George Majda, Musheng Wei, Walter A. Strauss

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90117-9

zbMATH Keywords

asymptotic expansionacoustic wave equationsscattering frequenciespoles of the scattering matrixcomplex resonancetime dependent wave equation

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (10)

On the behavior of resonant frequencies in the presence of small anisotropic imperfections ⋮ Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers ⋮ Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case ⋮ The Singularity Expansion Method applied to the transient motions of a floating elastic plate ⋮ Numerical simulations on resonance poles -- the trapping case of two plane cracks ⋮ A pole-free strip for potential scattering ⋮ Mathematical study of scattering resonances ⋮ Numerical study of quantum resonances in chaotic scattering ⋮ Unnamed Item ⋮ Perturbation of systems of linear algebraic equations^∗

Cites Work

• Polynomial bound on the number of scattering poles
• On the poles of the scattering matrix for two strictly convex obstacles
• On the scattering frequencies of time-dependent potentials
• Computation of exponentials in transient data
• On the relationship between the singularity expansion method and the mathematical theory of scattering
• Decaying modes for the wave equation in the exterior of an obstacle
• Scattering Theory for Hyperbolic Systems with Coefficients of Gevrey Type
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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