An iterative method for parameter identification and shape reconstruction

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2010

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Taylor & Francis
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Carpio Rodríguez, A. M. y Rapún Banzo, M. L. «An Iterative Method for Parameter Identification and Shape Reconstruction». Inverse Problems in Science and Engineering, vol. 18, n.o 1, enero de 2010, pp. 35-50. DOI.org (Crossref), https://doi.org/10.1080/17415970903233622.

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.

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