Inverse scattering from a sound-hard crack via two-step method

Kuo Ming Lee

doi:10.1155/2012/810676

Inverse scattering from a sound-hard crack via two-step method

Kuo Ming Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Article number	810676
Journal	Abstract and Applied Analysis
Volume	2012
DOIs	https://doi.org/10.1155/2012/810676
Publication status	Published - 2012

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Access to Document

10.1155/2012/810676

Cite this

@article{8fbb41984d7d47558e7d3011b6a6d5e7,

title = "Inverse scattering from a sound-hard crack via two-step method",

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.",

author = "Lee, {Kuo Ming}",

year = "2012",

doi = "10.1155/2012/810676",

language = "English",

volume = "2012",

journal = "Abstract and Applied Analysis",

issn = "1085-3375",

publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Inverse scattering from a sound-hard crack via two-step method

AU - Lee, Kuo Ming

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84864962156&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864962156&partnerID=8YFLogxK

U2 - 10.1155/2012/810676

DO - 10.1155/2012/810676

M3 - Article

AN - SCOPUS:84864962156

SN - 1085-3375

VL - 2012

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 810676

ER -

Inverse scattering from a sound-hard crack via two-step method

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this