A two step method in inverse scattering problem for a crack

Research output: Contribution to journalArticle

2 Citations (Scopus)

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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acoustic scattering
Newton methods
Two-step Method
Inverse Scattering Problem
inverse scattering
integral equations
Inverse Problem
Crack
cracks
Nonlinear Ill-posed Problems
harmonics
Acoustic Scattering
Integral Equation Method
acoustics
Ill-posed Problem
Newton Methods
Harmonic
Sound

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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A two step method in inverse scattering problem for a crack. / Lee, Kuo-Ming.

In: Journal of Mathematical Physics, Vol. 51, No. 2, 053002JMP, 01.02.2010.

Research output: Contribution to journalArticle

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