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An iterative method for parameter identification and shape reconstruction

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
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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