Carpio Rodríguez, Ana María and Rapún, M.L.
(2010)
*An iterative method for parameter identification and shape reconstruction.*
Inverse Problems in Science and Engineering, 18
(1).
pp. 35-50.
ISSN 1741-5977

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## Abstract

An iterative strategy for the reconstruction of objects buried in a medium and the identification of their material parameters is analysed. The algorithm alternates guesses of the domains using topological derivatives with corrections of the parameters obtained by descent techniques. Numerical experiments in geometries with multiple scatterers show that our scheme predicts the number, location and shape of objects, together with their physical parameters, with reasonable accuracy in a few steps.

Item Type: | Article |
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Uncontrolled Keywords: | Inverse scattering; topological derivative; domain reconstruction; parameter identification; non-destructive testing; scattering; inverse transmission problems |

Subjects: | Sciences > Physics > Electromagnetism Sciences > Mathematics > Differential equations |

ID Code: | 14888 |

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Deposited On: | 19 Apr 2012 08:57 |

Last Modified: | 06 Feb 2014 10:11 |

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