G. Allaire, Analyse numerique et optimisation: Une introduction à la modelisation mathematique et à la simulation numerique, 2005.

L. Alperovich, L. Eppelbaum, V. Zheludev, J. Dumoulin, F. Soldovieri et al., A new combined wavelet methodology applied to GPR and ERT data in the Montagnole experiment (French Alps, J. Geophys. Eng, vol.10, pp.1-17, 2013.

G. Bal, W. Naetar, O. Scherzer, and J. Schotland, The Levenberg???Marquardt iteration for numerical inversion of the power density operator, Journal of Inverse and Ill-Posed Problems, vol.21, issue.2, pp.265-280, 2012.
DOI : 10.1515/jip-2012-0091

J. Beck and B. S. Blackwell, Inverse heat conduction: ill-posed problems, 1985.

J. Brouns, Développement d'outils numériques pour l'audit énergétique des bâtiments

J. Brouns, A. Crinière, J. Dumoulin, A. Nassiopoulos, and F. Bourquin, Diagnostic de structures de génie civil : Identification des propriétés spatiales et de la surface d'un défaut, 2014.

A. Crinière, J. Dumoulin, C. Ibarra-castanedo, and X. Maldague, Inverse model for defect characterisation of externally glued CFRP on reinforced concrete structures: comparative study of square pulsed and pulsed thermography, Quantitative InfraRed Thermography Journal, vol.4, issue.281, pp.84-114, 2014.
DOI : 10.2307/1412159

D. J. Daniels, Ground Penetrating Radar, 2004.

J. Dumoulin and V. Boucher, Infrared thermography system for transport infrastructures survey with inline local atmospheric parameter measurements and offline model for radiation attenuation evaluations, Journal of Applied Remote Sensing, vol.8, issue.1, pp.1-19, 2014.
DOI : 10.1117/1.JRS.8.084978
URL : https://hal.archives-ouvertes.fr/hal-01055043

J. Dumoulin, L. Ibos, C. Ibarra-castanedo, A. Mazioud, M. Marchetti et al., Active infrared thermography applied to defect detection and characterization on asphalt pavement samples: comparison between experiments and numerical simulations, Journal of Modern Optics, vol.37, issue.18, pp.1759-1769, 2010.
DOI : 10.1016/0017-9310(87)90099-8

J. Dumoulin, L. Crinière, and R. Averty, The detection and thermal characterization of the inner structure of the ???Musmeci??? bridge deck by infrared thermography monitoring, Journal of Geophysics and Engineering, vol.10, issue.6, pp.64003-64013, 2013.
DOI : 10.1088/1742-2132/10/6/064003
URL : https://hal.archives-ouvertes.fr/hal-01081320

L. Touz, A joint thermal and electromagnetic diagnostics approach Eppelbaum, L.: Geophysical observations at archaeological sites: Estimating informational content, Archaeological Prospection, pp.25-38, 2014.

D. K. Gartling and J. N. Reddy, The Finite Element Method in Heat Transfer and Fluid Dynamics, CRC series in computational mechanics and applied analysis, 2010.

G. Gennarelli and F. Soldovieri, Multipath Ghosts in Radar Imaging: Physical Insight and Mitigation Strategies, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, vol.8, pp.1078-1086, 2015.
DOI : 10.1109/JSTARS.2014.2363233

A. Giannopoulos, Modelling ground penetrating radar by GprMax, Construction and Building Materials, vol.19, issue.10, pp.755-762, 2005.
DOI : 10.1016/j.conbuildmat.2005.06.007

M. Hanke, The regularizing Levenberg-Marquardt scheme is of optimal order, Journal of Integral Equations and Applications, vol.22, issue.2, pp.259-283, 2010.
DOI : 10.1216/JIE-2010-22-2-259

T. Isernia, F. Soldovieri, G. Leone, and R. Pierri, On the local minima in phase reconstruction algorithms, Radio Science, vol.5, issue.7, pp.1887-189910, 1996.
DOI : 10.1007/978-94-011-3436-1

T. Isernia, G. Leone, R. Pierri, and F. Soldovieri, Role of support information and zero locations in phase retrieval by a quadratic approach, Journal of the Optical Society of America A, vol.16, issue.7, pp.1845-1856, 1999.
DOI : 10.1364/JOSAA.16.001845

Y. Jarny, M. N. Osizik, and J. P. Bardon, A general optimization method using adjoint equation for solving multidimensional inverse heat conduction, International Journal of Heat and Mass Transfer, vol.34, issue.11, pp.2911-2919, 1991.
DOI : 10.1016/0017-9310(91)90251-9

G. Leone and F. Soldovieri, Analysis of the distorted born approximation for subsurface reconstruction: truncation and uncertainties effects, IEEE Transactions on Geoscience and Remote Sensing, vol.41, issue.1, pp.66-74, 2003.
DOI : 10.1109/TGRS.2002.806999

K. Levenberg, A method for the solution of sertains problems to least squares, Appl. Math, vol.2, pp.164-168, 1944.

J. L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Grundlehren Der Mathematishen Wissenschaften, vol.170, 1971.
DOI : 10.1007/978-3-642-65024-6

L. Matera, R. Persico, E. Geraldi, M. Sileo, and S. Piro, GPR and IRT tests in two historical buildings in Gravina in Puglia, Geosci. Instrum. Method. Data Syst, vol.55194, pp.541-55010, 2016.

A. Nassiopoulos, Identification rapide de la température dans les structures de génie civil, 2008.

A. Nassiopoulos and F. Bourquin, Fast three-dimensional temperature reconstruction, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.49-52, pp.3169-3178, 2010.
DOI : 10.1016/j.cma.2010.06.022
URL : https://hal.archives-ouvertes.fr/hal-01054135

A. Nassiopoulos and F. Bourquin, On-site building walls characterization , Numer. Heat Tr. A-Appl, pp.179-200, 2013.
DOI : 10.1080/10407782.2013.730422

M. N. Ozisik, Inverse Heat Transfer: Fundamentals and Applications, Applied Mechanics Reviews, vol.55, issue.1, 2000.
DOI : 10.1115/1.1445337

R. Persico, Introduction to Ground Penetrating Radar: Inverse Scattering and Data Processing, Series on Electromagnetic Wave Theory
DOI : 10.1002/9781118835647

R. Persico and F. Soldovieri, A Microwave Tomography Approach for a Differential Configuration in GPR Prospecting, IEEE Transactions on Antennas and Propagation, vol.54, issue.11, pp.3541-3548, 2006.
DOI : 10.1109/TAP.2006.882161

R. Persico, R. Bernini, and F. Soldovieri, The role of the measurement configuration in inverse scattering from buried objects under the Born approximation, IEEE Transactions on Antennas and Propagation, vol.53, issue.6, pp.1875-1887, 2005.
DOI : 10.1109/TAP.2005.848468

I. Rodríguez-abad, G. Klysz, R. Martínez-sala, J. P. Balayssac, and J. Mené-aparicio, Application of ground-penetrating radar technique to evaluate the waterfront location in hardened concrete, Geosci. Instrum. Method. Data Syst, vol.55194, pp.567-57410, 2016.

F. Soldovieri, J. Hugenschmidt, R. Persico, L. , and G. , A linear inverse scattering algorithm for realistic GPR applications, Near Surface Geophysics, vol.5, issue.9, pp.29-41, 2007.
DOI : 10.3997/1873-0604.2006016

F. Soldovieri, R. Solimene, A. Brancaccio, and R. Pierri, Localization of the Interfaces of a Slab Hidden Behind a Wall, IEEE Transactions on Geoscience and Remote Sensing, vol.45, issue.8, pp.2471-2482, 2007.
DOI : 10.1109/TGRS.2007.900994

F. Soldovieri, G. Prisco, and R. Persico, A strategy for the determination of the dielectric permittivity of a lossy soil exploiting GPR surface measurements and a cooperative target, Journal of Applied Geophysics, vol.67, issue.4, pp.288-295, 2009.
DOI : 10.1016/j.jappgeo.2008.09.007

F. Soldovieri, R. Solimene, L. Lo-monte, M. Bavusi, and A. Loperte, Sparse Reconstruction From GPR Data With Applications to Rebar Detection, IEEE Transactions on Instrumentation and Measurement, vol.60, issue.3, pp.1070-1079, 2011.
DOI : 10.1109/TIM.2010.2078310