Abstract and Applied Analysis

Inverse Scattering from a Sound-Hard Crack via Two-Step Method

Kuo-Ming Lee

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Abstract

We present a two-step method for recovering an unknown sound-hard crack in 2 from the measured far-field pattern. This method, based on a two-by-two system of nonlinear integral equations, splits the reconstruction into two consecutive steps which consists of a forward and an inverse problems. In this spirit, only the latter needs to be regularized.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 810676, 13 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365174049

Digital Object Identifier
doi:10.1155/2012/810676

Mathematical Reviews number (MathSciNet)
MR2947726

Zentralblatt MATH identifier
1246.65256

Citation

Lee, Kuo-Ming. Inverse Scattering from a Sound-Hard Crack via Two-Step Method. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 810676, 13 pages. doi:10.1155/2012/810676. https://projecteuclid.org/euclid.aaa/1365174049


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