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

Research output: Contribution to journalArticle

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

Fingerprint

Newton methods
Inverse Scattering Problem
inverse scattering
Newton Methods
integral equations
Crack
cracks
Nonlinear Ill-posed Problems
Well-posed Problem
Integral Equation Method
acoustics
Inverse Problem
Demonstrate
Sound

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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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.",
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A second degree Newton method in inverse scattering problem for a crack. / Lee, Kuo-Ming.

In: Journal of Mathematical Physics, Vol. 53, No. 4, 043503, 09.04.2012.

Research output: Contribution to journalArticle

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