A second degree Newton method in inverse scattering problem for a crack

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Abstract

For the inverse scattering problem from a sound-soft crack a second degree Newton method is proposed in this paper. Based on integral equations method, our scheme splits the inverse problem into a well-posed problem and a nonlinear ill-posed problem which will be linearized using a second degree method. Some reconstructions will be given to demonstrate the feasibility of the proposed method.

Original languageEnglish
Article number043503
JournalJournal of Mathematical Physics
Volume53
Issue number4
DOIs
Publication statusPublished - 2012 Apr 9

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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