H. Bateman, The Mathematical Analysis of Electrical and Optical Wave-Motion on the basis of Maxwell's Equations, 1915.

O. Biro, K. Preis, K. R. Richter, R. Heller, P. Komarek et al., FEM calculation of eddy current losses and forces in thin conducting sheets of test facilities for fusion reactor components, IEEE Transactions on Magnetics, vol.28, issue.2, pp.1509-1512, 1992.
DOI : 10.1109/20.123983

D. Braess, Finite Elements: Theory, fast solvers and applications in solid mechanics, 2nd edn, Measurement Science and Technology, vol.13, issue.9, 2007.
DOI : 10.1088/0957-0233/13/9/704

G. Caloz, M. Dauge, E. Faou, and V. Péron, On the influence of the geometry on skin effect in electromagnetism, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.9-12, pp.9-121053, 2011.
DOI : 10.1016/j.cma.2010.11.011
URL : https://hal.archives-ouvertes.fr/hal-00503170

G. Caloz, M. Dauge, and V. Péron, Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism, Journal of Mathematical Analysis and Applications, vol.370, issue.2, pp.555-572, 2010.
DOI : 10.1016/j.jmaa.2010.04.060
URL : https://hal.archives-ouvertes.fr/hal-00422315

G. Cohen and M. Duruflé, Non spurious spectral-like element methods for Maxwell's equations, J. Comput. Math, vol.25, pp.282-304, 2007.

B. Delourme, H. Haddar, and P. Joly, ON THE WELL-POSEDNESS, STABILITY AND ACCURACY OF AN ASYMPTOTIC MODEL FOR THIN PERIODIC INTERFACES IN ELECTROMAGNETIC SCATTERING PROBLEMS, Mathematical Models and Methods in Applied Sciences, 2013.
DOI : 10.1142/S021820251350036X
URL : https://hal.archives-ouvertes.fr/hal-00682357

M. Duruflé, V. Péron, and C. Poignard, TIME-HARMONIC MAXWELL EQUATIONS IN BIOLOGICAL CELLS ??? THE DIFFERENTIAL FORM FORMALISM TO TREAT THE THIN LAYER, Confluentes Mathematici, vol.03, issue.02, pp.325-357, 2011.
DOI : 10.1142/S1793744211000345

M. Duruflé, V. Péron, and C. Poignard, Abstract, Communications in Computational Physics, vol.144, issue.01, pp.213-238, 2014.
DOI : 10.1088/0031-9155/46/1/315

C. Geuzaine, P. Dular, and W. Legros, Dual formulations for the modeling of thin electromagnetic shells using edge elements, IEEE Transactions on Magnetics, vol.36, issue.4, pp.799-803, 2000.
DOI : 10.1109/20.877566

H. Haddar and Z. Jiang, Axisymmetric eddy current inspection of highly conducting thin layers via asymptotic models, Inverse Problems, vol.31, issue.11, p.31115005, 2015.
DOI : 10.1088/0266-5611/31/11/115005
URL : https://hal.archives-ouvertes.fr/hal-01214308

R. Hiptmair, Symmetric Coupling for Eddy Current Problems, SIAM Journal on Numerical Analysis, vol.40, issue.1, pp.41-65, 2002.
DOI : 10.1137/S0036142900380467

H. Igarashi, A. Kost, and T. Honma, Impedance boundary condition for vector potentials on thin layers and its application to integral equations, The European Physical Journal Applied Physics, vol.1, issue.1, pp.103-109, 1998.
DOI : 10.1051/epjap:1998123

J. Jin, J. L. Volakis, C. L. Yu, and A. C. Woo, Modeling of resistive sheets in finite element solutions (EM scattering), IEEE Transactions on Antennas and Propagation, vol.40, issue.6, pp.727-731, 1992.
DOI : 10.1109/8.144609

E. F. Knott and T. B. Senior, Non-specular radar cross section study, 1974.

L. Krähenbühl and D. Muller, Thin layers in electrical engineering-example of shell models in analysing eddy-currents by boundary and finite element methods, IEEE Transactions on Magnetics, vol.29, issue.2, pp.1450-1455, 1993.
DOI : 10.1109/20.250676

I. D. Mayergoyz and G. Bedrosian, On calculation of 3-D eddy currents in conducting and magnetic shells, IEEE Transactions on Magnetics, vol.31, issue.3, pp.1319-1324, 1995.
DOI : 10.1109/20.376271

W. Mclean, Strongly Elliptic Systems and Boundary Integral Equations, 2000.

J. Mcwhirter, Computation of three-dimensional eddy currents in thin conductors, IEEE Transactions on Magnetics, vol.18, issue.2, pp.456-460, 1982.
DOI : 10.1109/TMAG.1982.1061860

P. Monk, Finite element methods for Maxwell's equations. Numerical Mathematics and Scientific Computation, 2003.

T. Nakata, N. Takahashi, K. Fujiwara, and Y. 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

J. Nédélec, Acoustic and electromagnetic equations : integral representations for harmonic problems Applied mathematical sciences, 2001.

V. Péron, Modélisation mathématique de phénomènesphénomènesélectromagnétiques dans des matériaux matériaux`matériauxà fort contraste, 2009.

J. Poltz and K. Romanowski, Solution of quasi-stationary field problems by means of magnetic scalar potential, IEEE Transactions on Magnetics, vol.19, issue.6, pp.2425-2428, 1983.
DOI : 10.1109/TMAG.1983.1062878

D. Rodger and N. Atkinson, Finite element method for 3D eddy current flow in thin conducting sheets, IEE Proceedings A Physical Science, Measurement and Instrumentation, Management and Education, Reviews, vol.135, issue.6, pp.369-374, 1988.
DOI : 10.1049/ip-a-1.1988.0059

K. Schmidt and A. Chernov, Robust families of transmission conditions of high order for thin conducting sheets, 2011.

K. Schmidt and A. Chernov, A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model, SIAM Journal on Applied Mathematics, vol.73, issue.6, pp.1980-2003, 2013.
DOI : 10.1137/120901398

K. Schmidt and A. Chernov, Robust Transmission Conditions of High Order for Thin Conducting Sheets in Two Dimensions, IEEE Transactions on Magnetics, vol.50, issue.2, pp.41-44, 2014.
DOI : 10.1109/TMAG.2013.2285437

K. Schmidt and R. Hiptmair, Asymptotic boundary element methods for thin conducting sheets, Discrete Contin. Dyn. Syst. Ser. S, vol.8, issue.3, pp.619-647, 2015.

K. Schmidt and S. Tordeux, Asymptotic modelling of conductive thin sheets, Zeitschrift f??r angewandte Mathematik und Physik, vol.33, issue.3, pp.603-626, 2010.
DOI : 10.1007/s00033-009-0043-x
URL : https://hal.archives-ouvertes.fr/inria-00527608

K. Schmidt and S. Tordeux, High order transmission conditions for thin conductive sheets in magneto-quasistatics, ESAIM: Mathematical Modelling and Numerical Analysis, vol.45, issue.6, pp.1115-1140, 2011.
DOI : 10.1051/m2an/2011009
URL : https://hal.archives-ouvertes.fr/inria-00473213

T. Senior, Approximate boundary conditions, IEEE Transactions on Antennas and Propagation, vol.29, issue.5, pp.826-829, 1981.
DOI : 10.1109/TAP.1981.1142657

O. V. Tozoni and I. D. Mayergoyz, Analysis of three-dimensional electromagnetic fields, 1974.

I. Barbara and . Wohlmuth, A mortar finite element method using dual spaces for the Lagrange multiplier, SIAM J. Numer. Anal, vol.38, issue.3, pp.989-1012, 2001.