.. De-bord, Défauts considérés pour l'étude de l'effet, p.84

D. Signature-du, 94 Publications liées à cette thèse Communications internationales avec comité de lecture Study of the DOF management of dual formulations for the modelling of thin cracks in ECT, Sensor Letters, 2008.

M. Bensetti, Y. Choua, L. Santandréa, Y. Le-bihan, and C. Marchand, Adaptive Mesh Refinement and Probe Signal Calculation in Eddy Current NDT by Complementary Formulations, IEEE Transactions on Magnetics, vol.44, issue.6, pp.1646-1649, 2008.
DOI : 10.1109/TMAG.2007.916159

URL : https://hal.archives-ouvertes.fr/hal-00352639

S. Paillard, Y. Choua, G. Pichenot, Y. Le-bihan, M. Lambert et al., MODELLING OF FLAWED RIVETED STRUCTURES FOR EC INSPECTION IN AERONAUTICS, AIP Conference Proceedings, pp.217-224, 2008.
DOI : 10.1063/1.2902713

URL : https://hal.archives-ouvertes.fr/hal-00761552

Y. Choua, L. Santandréa, Y. L. Bihan, and C. Marchand, Thin Crack Modeling in ECT With Combined Potential Formulations, IEEE Transactions on Magnetics, vol.43, issue.4, pp.1789-1792, 2007.
DOI : 10.1109/TMAG.2007.892523

Y. Choua, L. Santandréa, Y. L. Bihan, and C. Marchand, Modelling of thin crack in ECT using a ? ? formulation with Whitney elements Evaluation of finite elements models of cracks for ECT, Septembre 2005. Communications internationales avec actes Y. Choua Conférence Européenne sur les méthodes numériques en Electromagnétisme NUMELEC, 2008.

Y. Choua, L. Santandréa, Y. Le-bihan, and C. Marchand, Study of the DOF management of dual formulations for the modelling of thin cracks in ECT, European Magnetic Sensors & Actuators Conference EMSA, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00352908

L. Santandréa, Y. Choua, Y. Le-bihan, and C. Marchand, Using mortar element method for eddy current testing finite element computations, Conference on the Computation of Electromagnetic Fields COMPUMAG, pp.579-580, 2007.

M. Bensetti, Y. Choua, L. Santandréa, Y. Le-bihan, and C. Marchand, Adaptive Mesh Refinement and Probe Signal Calculation in Eddy Current NDT by Complementary Formulations, IEEE Transactions on Magnetics, vol.44, issue.6, 2007.
DOI : 10.1109/TMAG.2007.916159

URL : https://hal.archives-ouvertes.fr/hal-00352639

Y. Le-bihan, J. Pavo, Y. Choua, M. Bensetti, and C. Marchand, Study on the calculation by FEM-BIM combination of the EC signal due to a thin crack in pre, 2009.

. Cardiff, S. Pays-de-galles, Y. Paillard, G. Choua, Y. Pichenot et al., Modelling of flawed riveted structures for EC inspection in aeronautics, 12th International Workshop on Electromagnetic Nondestructive Evaluation ENDE, pp.42-50, 2007.

Y. Choua, L. Santandréa, Y. Le-bihan, and C. Marchand, specific developments on a finite element tool for thin crack modelling in EC testing, 9th European Conference on Non-Destructive Testing ECNDT, 2006.

Y. Choua, L. Santandréa, Y. Le-bihan, and C. Marchand, Thin Crack Modeling in ECT with Combined Potential Formulations, 12th Biennial IEEE Conference on Electromagntic Field Computation CEFC, 2006.

L. Santandréa, Y. Choua, Y. Le-bihan, and C. Marchand, Adaptive mesh refinement for eddy current testing finite element computations, 6th International Conference on Computation in Electromagnetics CEM, 2006.

Y. Choua, L. Santandréa, Y. Le-bihan, and C. Marchand, Modelling of a thin crack in ECT using a ? ? formulation with Whitney elements, International Symposium on Applied Electromagnetics and Mechanics ISEM, 2005.

C. , Y. Choua, M. Bensetti, L. Santandréa, Y. Le-bihan et al., Développement d'un outil de simulation numérique pour le CND par courants de Foucault, 2007.

Y. , L. Bihan, M. Bensetti, Y. Choua, C. Marchand et al., Modélisations BF et HF de bobines gravées, Les journées de la simulation numérique, 2005.

]. R. Bibliographie, G. Albanese, and . Rubinacci, Formulation of eddy current problems, IEE Proceedings, vol.37, pp.16-22, 1990.

A. B. Auld, Review of advances in quantitative eddy current nondestructive evaluation, Journal of Nondestructive Evaluation, vol.18, issue.1, pp.3-36, 1999.
DOI : 10.1023/A:1021898520626

Z. Badics, H. Komatsu, Y. Matsumoto, K. Aoki, and E. F. Nakayasu, A thin sheet finite element crack model in eddy current NDE, IEEE Transactions on Magnetics, vol.30, issue.5, pp.3080-3083, 1994.
DOI : 10.1109/20.312588

M. Bensetti, J. Pávó, and E. C. Marchand, Computational environment for the fast calculation of ECT probe signal by field decomposition, IEEE Transactions on Magnetics, vol.42, issue.4, pp.1411-1414, 2006.

]. O. Biro, K. Preis, and E. K. Richter, On the use of the magnetic vector potential in the nodal and edge finite element analysis of 3D magnetostatic problems, IEEE Transactions on Magnetics, vol.32, issue.3, pp.651-654, 1996.
DOI : 10.1109/20.497322

]. A. Bossavit and J. C. Vérité, A mixed fem-biem method to solve 3-D eddy-current problems, IEEE Transactions on Magnetics, vol.18, issue.2, pp.431-435, 1982.
DOI : 10.1109/TMAG.1982.1061847

A. Bossavit, "Small parameter" problems in eddy-current theory: a review, and case-study on how to avoid meshing small air-gaps, IEEE Transactions on Magnetics, vol.32, issue.3, pp.729-732, 1996.
DOI : 10.1109/20.497343

A. Bossavit, Computational Electromagnetism, 1998.

S. Bouissou, Comparaison des formulations en potentiel, pour la résolution numérique en 3D des équations magnétiques couplées aux équations de circuit électrique, 1994.

J. Bour, E. Zubiri, P. Vasseur, A. Billmat, J. R. Bowler et al., Etude de la répartition des courants de Foucault pulsés dans une configuration de countrôle non destructif Theory of eddy current crack response Eddy current interaction with an ideal crack. I. The forward problem, Journal de Physique III Lowa state university Center for Nondestructive Evaluation, pp.7-22, 1994.

X. Brunotte and G. Meunier, Line element for efficient computation of the magnetic field created by thin iron plates, IEEE Transactions on Magnetics, vol.26, issue.5, pp.2196-2198, 1990.
DOI : 10.1109/20.104667

]. S. Burke, A benchmark problem for computation of ?Z in eddy current nondestructive evaluation (NDE), Journal of Nondestructive evaluation, vol.7, issue.12, pp.3080-3083, 1988.

F. Buvat, P. G. , D. Prémel, D. Lesselier, M. Lambert et al., Eddy-Current Modeling of Ferrite-Cored Probes, AIP Conference Proceedings, pp.463-470, 2005.
DOI : 10.1063/1.1916712

URL : https://hal.archives-ouvertes.fr/hal-00638244

]. B. Cipra, The best of the 20th century : Editors name top 10 algorithms, Society for Industrial and Applied Mathematics News, vol.33, issue.4, 2000.

G. Dhatt, G. Touzot, and E. E. Lefrançois, Une présentation de la méthode des éléments finis, 1981.

C. V. Dodd and W. E. Deeds, Analytical Solutions to Eddy???Current Probe???Coil Problems, Journal of Applied Physics, vol.39, issue.6, pp.2829-2832, 1968.
DOI : 10.1063/1.1656680

I. Dufour, Separation of conductivity and distance measurements for eddy current nondestructive inspection of graphite composite materials, Journal de Physique III, vol.3, issue.6, pp.1065-1074, 1993.
DOI : 10.1051/jp3:1993107

URL : https://hal.archives-ouvertes.fr/jpa-00248979

]. P. Dula-94 and . Dular, Modélisation du champ magnétique et des courants induits dans des systèmes tridimensionnels non-linéaire, 1994.

J. Dumont-fillon, Contrôle non destructif (CND), 1994.

]. K. Fuji-96, T. Fujiwara, E. H. Nakata, and . Ohashi, Improvement of convergence characteristic of ICCG method for the A ? ? method using edge elements, IEEE Transactions on Magnetics, vol.32, issue.3, pp.804-807, 1996.

M. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, Journal of Research of the National Bureau of Standards, vol.49, issue.6, pp.409-436, 1952.
DOI : 10.6028/jres.049.044

]. N. Ida, Numerical Modeling for Electromagnetic Non-Destructive Evaluation . Chapman&Hall, 1995.

]. N. Ida and J. P. Bastos, Electromagnetics and Calculation of Fields, 1997.

F. Jedrzejewski, Introduction aux méthodes numériques, 2001.

A. Kameari and K. Koganezawa, Convergence of ICCG method in FEM using edge elements without gauge condition, IEEE Transactions on Magnetics, vol.33, issue.2, pp.1223-1226, 1997.
DOI : 10.1109/20.582474

J. Kangas, T. Tahasaari, L. Kettunen, E. Fluet, and E. B. Grorges, Maxwell equations and finite element software sytems : Object-oriented coding needs well defined objetcs, Reconstruire en 3 dimensions : un nouveau défi en radiographie industrielle " . 6 i` eme Conférence Européenne sur les Contrôles Non Destructifs, pp.35-41, 1994.

C. Li, Z. Ren, and E. A. Razek, An approach to adaptive mesh refinement for three-dimensional eddy-current computations, IEEE Transactions on Magnetics, vol.30, issue.1, pp.113-117, 1994.

J. W. Luquire, W. E. Deeds, and C. V. Dodd, Alternating Current Distribution Between Planar Conductors, Journal of Applied Physics, vol.41, issue.10, pp.3981-3991, 1970.
DOI : 10.1063/1.1658399

D. Lê and . Placko, Nouvelle structure de capteur ?? courants de Foucault et algorithme associ?? pour la mesure des propri??t??s ??lectrique et magn??tique d'un m??tal, Journal de Physique III, vol.5, issue.6, pp.807-824, 1995.
DOI : 10.1051/jp3:1995162

]. J. Maxw-85a and . Maxwell, Traité d'électricité et de magnétisme -Tome 1. Gauthier-Villars, 1885.

]. J. Maxw-85b and . Maxwell, Traité d'électricité et de magnétisme -Tome 2, 1885.

]. T. Naka-90, N. Nakata, K. Takahashi, E. Y. Fujiwara, and . Shiraki, 3D magnetic field analysis using special elements, IEEE Transactions on Magnetics, vol.26, issue.5, pp.2379-2381, 1990.
DOI : 10.1109/20.104737

S. Paillard, Y. Choua, G. Pichenot, Y. L. Bihan, M. Lambert et al., MODELLING OF FLAWED RIVETED STRUCTURES FOR EC INSPECTION IN AERONAUTICS, AIP Conference Proceedings, 2007.
DOI : 10.1063/1.2902713

URL : https://hal.archives-ouvertes.fr/hal-00761552

O. Peyret, M. Cuzin, J. Gagellin, G. Thomas, and E. L. Verger, Les détecteurs RX en imagerie industrielle : états des lieux et perspectives " . 6 i` eme Conférence Européenne sur les Contrôles Non Destructifs Comparison of some 3D eddy current formulations in dual systems, IEEE Transactions on Magnetics, vol.36, issue.4, pp.751-755, 1994.

]. Z. Ren-96a and . Ren, Influence of the R.H.S. on the convergence behaviour of the curl-curl equation, IEEE Transactions on Magnetics, vol.32, issue.3, pp.655-658, 1996.

]. Z. Ren-96b, A. Ren, and . Razek, Computation of 3-D electromagnetic field using differential forms based elements and dual formulations, International Journal of Numerical Modelling : Electronic Networks, Devices and Fields, vol.9, issue.2, pp.81-98, 1996.

J. Rikabi, C. F. Bryant, and E. M. Freeman, An error-based approach to complementary formulations of static field solutions, International Journal for Numerical Methods in Engineering, vol.135, issue.9, pp.1963-1987, 1988.
DOI : 10.1002/nme.1620260906

K. S. Surana and R. K. Phillips, Three dimensional curved shell finite elements for heat conduction, Computers & Structures, vol.25, issue.5, pp.775-785, 1987.
DOI : 10.1016/0045-7949(87)90169-6

T. P. Theodoulidis, T. D. Tsiboukis, and E. E. Kriezis, Analytical solutions in eddy current testing of layered metals with continuous conductivity profiles, IEEE Transactions on Magnetics, vol.31, issue.3, pp.2254-2260, 1995.
DOI : 10.1109/20.376236