A two step method in inverse scattering problem for a crack

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Abstract

In this paper, we present a method for solving a time-harmonic acoustic inverse scattering problem for a sound-soft crack in R 2. Based on the integral equation method, our method splits the nonlinear, severely ill-posed inverse problem into a linear well-posed direct problem and a nonlinear ill-posed problem. At this setting, not only the regularized Newton's method can still be used to solve the inverse problem numerically but also with the advantage of keeping the structure of the algorithm simple and efficient.

Original languageEnglish
Article number053002JMP
JournalJournal of Mathematical Physics
Volume51
Issue number2
DOIs
Publication statusPublished - 2010 Feb 1

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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