Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle

Olha Ivanyshyn, Tomas Johansson

Research output: Contribution to journalArticle

Abstract

The problem considered is that of determining the shape of a planar acoustically sound-soft obstacle from knowledge of the far-field pattern for one time-harmonic incident field. Two methods, which are based on the solution of a pair of integral equations representing the incoming wave and the far-field pattern, respectively, are proposed and investigated for finding the unknown boundary. Numerical resultsare included which show that the methods give accurate numerical approximations in relatively few iterations.
Original languageEnglish
Pages (from-to)289-308
Number of pages20
JournalJournal of Integral Equations and Applications
Volume19
Issue number3
DOIs
Publication statusPublished - Jan 2007

Bibliographical note

Copyright © 2007 Rocky Mountain Mathematics Consortium

Keywords

  • far field pattern
  • ill-posed
  • inverse scattering
  • Newton method
  • sound-soft
  • Tikhonov regularization.

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