### Abstract

In this paper, we consider an inverse scattering problem of a time-harmonic wave from a penetrable obstacle. A Dirichlet-to-Neumann map is defined to convert this problem into an exterior boundary value problem with an impedance-like boundary condition. The problem is then solved without the need of solving an interior problem which is inevitable in the usual way. This process reduces the size of the problem and thus enables an efficient treatment of this inverse scattering problem.

Original language | English |
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Pages (from-to) | 214-220 |

Number of pages | 7 |

Journal | Engineering Analysis with Boundary Elements |

Volume | 101 |

DOIs | |

Publication status | Published - 2019 Apr 1 |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Engineering(all)
- Computational Mathematics
- Applied Mathematics

### Cite this

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**Inverse transmission scattering problem via a Dirichlet-to-Neumann map.** / Lee, Kuo-Ming.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Inverse transmission scattering problem via a Dirichlet-to-Neumann map

AU - Lee, Kuo-Ming

PY - 2019/4/1

Y1 - 2019/4/1

N2 - In this paper, we consider an inverse scattering problem of a time-harmonic wave from a penetrable obstacle. A Dirichlet-to-Neumann map is defined to convert this problem into an exterior boundary value problem with an impedance-like boundary condition. The problem is then solved without the need of solving an interior problem which is inevitable in the usual way. This process reduces the size of the problem and thus enables an efficient treatment of this inverse scattering problem.

AB - In this paper, we consider an inverse scattering problem of a time-harmonic wave from a penetrable obstacle. A Dirichlet-to-Neumann map is defined to convert this problem into an exterior boundary value problem with an impedance-like boundary condition. The problem is then solved without the need of solving an interior problem which is inevitable in the usual way. This process reduces the size of the problem and thus enables an efficient treatment of this inverse scattering problem.

UR - http://www.scopus.com/inward/record.url?scp=85060349765&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85060349765&partnerID=8YFLogxK

U2 - 10.1016/j.enganabound.2018.11.007

DO - 10.1016/j.enganabound.2018.11.007

M3 - Article

AN - SCOPUS:85060349765

VL - 101

SP - 214

EP - 220

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

ER -