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4. Sparse grids for eddy-current non-destructive testing

Author

Bilicz, Sándor, Cai, Caifang, Lambert, Marc, Lambert, Marc, Modèles Numériques - Méthodes Bayesiennes pour le diagnostic et la Probabilité de détection Assistée par la Simulation - - ByPASS2013 - ANR-13-MONU-0011 - MN - VALID, F. Kojima, Budapest University of Technology and Economics [Budapest] (BME), Laboratoire des signaux et systèmes (L2S), Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Laboratoire Génie électrique et électronique de Paris (GeePs), Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris-Sud - Paris 11 (UP11), ANR-13-MONU-0011,ByPASS,Méthodes Bayesiennes pour le diagnostic et la Probabilité de détection Assistée par la Simulation(2013), and Université Paris-Sud - Paris 11 (UP11)-Université Pierre et Marie Curie - Paris 6 (UPMC)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)

Subjects
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, Markov Chain Monte-Carlo, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], sparse grids, [SPI.ELEC] Engineering Sciences [physics]/Electromagnetism, non-destructive testing, parameter inversion, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, surrogate modeling, [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
Abstract

International audience; Sparse grids make possible the interpolation-based approximation of the output of computer experiments, even for a high number of independent input parameters. In this contribution, the sparse grid interpolation technique is shown to apply well to eddy-current non-destructive testing and simulations thereof. Once such interpolation is obtained –being computationally cheap–, the use of simple optimisation schemes for the inversion becomes numerically efficient. A common pattern-search algorithm illustrates this concept.

Published
2015

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