Globally Convergent Numerical Methods for Some Coefficient Inverse Problems

Author

Xin, Jianguo ; Beilina, Larisa ; Klibanov, Michael V.

Author_Institution

Univ. of North Carolina at Charlotte, Charlotte, NC, USA

Volume

12

Issue

5

fYear

2010

Firstpage

64

Lastpage

77

Abstract

How can we differentiate between an underground stone and a landmine? A class of new numerical methods aims to address this question using globally convergent-rather than locally convergent-algorithms for coefficient inverse problems. Numerical results model imaging of the spatially distributed dielectric permittivity function in an environment where antipersonnel landmines are embedded along with stones.

Keywords

convergence of numerical methods; inverse problems; partial differential equations; permittivity; PDE; antipersonnel landmines; coefficient inverse problems; global convergent numerical methods; partial differential equations; spatial distributed dielectric permittivity function; underground stone; Acoustic imaging; Dielectrics; Image converters; Inverse problems; Landmine detection; Permittivity; Shape; Signal processing algorithms; Stability; Tomography; Coefficient inverse problems; convexification algorithms; globally convergent methods; imaging inhomogeneities;

fLanguage

English

Journal_Title

Computing in Science & Engineering

Publisher

ieee

ISSN

1521-9615

Type

jour

DOI

10.1109/MCSE.2010.22

Filename

5396289