Nondestructive evaluation of hidden surface damage by means of stationary thermographic methods requires the construction of approximated solutions of a boundary identification problem for an elliptic equation. In this paper, we describe and test a regularized reconstruction algorithm based on the linearization of this class of inverse problems. The problem is reduced to an infinite linear system whose coefficients come from the Fourier discretization of the Robin boundary value problem for Laplace's equation.

Corrosion detection in conducting boundaries: II. Linearization, stability and discretization / Fasino, D.; Inglese, G.; Mariani, Francesca. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - STAMPA. - 23:3(2007), pp. 1101-1114.

Corrosion detection in conducting boundaries: II. Linearization, stability and discretization

MARIANI, Francesca
2007-01-01

Abstract

Nondestructive evaluation of hidden surface damage by means of stationary thermographic methods requires the construction of approximated solutions of a boundary identification problem for an elliptic equation. In this paper, we describe and test a regularized reconstruction algorithm based on the linearization of this class of inverse problems. The problem is reduced to an infinite linear system whose coefficients come from the Fourier discretization of the Robin boundary value problem for Laplace's equation.
2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/234941
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