Analysis of a Limiting-Amplitude Problem in Acousto-Elastic Interactions, 1

Abstract

Time-harmonic scattering and radiation by an elastic body into an inviscid fluid is studied as a problem of limiting amplitude. By supposing that one knows all about the exterior Neumann-radiation problem and a certain interior traction eigenvalue problem, the interface problem is reduced to an interior one with a nonlocal boundary condition, which is shown to be well-posed in weak sense, modulo the satisfaction of a solvability condition. The convergence of a solution-approximating Galerkin procedure is established. It is shown that one can compute the acoustic field without examining the mentioned eigenvalue problem.

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Document Details

Document Type
Technical Report
Publication Date
May 15, 1989
Accession Number
ADA209741

Entities

People

  • Allan G. Dallas

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Banach Space
  • Bessel Functions
  • Boundaries
  • Complex Numbers
  • Convergence
  • Differential Equations
  • Eigenvalues
  • Equations
  • Far Field
  • Frequency
  • Helmholtz Equations
  • Hilbert Space
  • Partial Differential Equations
  • Radiation
  • Scattering
  • Wave Equations

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Linear Algebra