A Note on the Inverse Source Problem

Abstract

In an earlier paper, the authors derived a Fredholm integral equation of the first kind for the solution of the inverse source problem for acoustic waves. The eigenvalues of this equation were shown to converge rapidly to zero and also to include zero. Thus, the solution was shown to be non-unique and even the particular part of the solution of that equation was ill-conditioned. In this note it is shown how to obtain the non-trivial information of that integral equation in a well-conditioned manner.

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Document Details

Document Type
Technical Report
Publication Date
Dec 15, 1977
Accession Number
ADA052909

Entities

People

  • Jack K. Cohen
  • Norman Bleistein

Organizations

  • University of Denver

Tags

DTIC Thesaurus Topics

  • Acoustic Waves
  • Acoustics
  • Bessel Functions
  • Coefficients
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Integrals
  • Mathematics
  • Military Research
  • New York
  • Physics
  • Spherical Harmonics
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)