Inverse scattering via nonlinear integral equations for a Neumann crack

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23 Citations (Scopus)


In this paper we present a new method for solving the time-harmonic acoustic inverse scattering problem for a sound-hard crack in . Using the integral equation method to solve the inverse scattering problem, one obtains a Fredholm integral equation of the first kind. Instead of applying regularized Newton's method directly to this integral equation, we derive an equivalent system of two nonlinear integral equations for the inverse problem. In this setting, not only can the regularized Newton's method still be used to solve the inverse problem numerically, but also has the advantage of removing the need to solve a related direct problem at every iteration.

Original languageEnglish
Article number005
Pages (from-to)1989-2000
Number of pages12
JournalInverse Problems
Issue number6
Publication statusPublished - 2006 Dec 1

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics


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