H. Ammari, An Introduction to Mathematics of Emerging Biomedical Imaging, Mathématiques et Applications, vol.62, 2008.

H. Ammari and H. Kang, Reconstruction of Small Inhomogeneities from Boundary Measurements, Lecture Notes in Mathematics, vol.1846, 2004.
DOI : 10.1007/b98245

C. Amrouche, C. Bernardi, M. Dauge, and V. Girault, Vector potentials in three-dimensional non-smooth domains, Mathematical Methods in the Applied Sciences, vol.2, issue.9, pp.823-864, 1998.
DOI : 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO;2-B

R. Bank, B. Welfert, and H. Yserentant, A class of iterative methods for solving saddle point problems, Numerische Mathematik, vol.49, issue.7, pp.56-645, 1990.
DOI : 10.1007/BF01405194

R. Barthelmé, P. Ciarlet, J. , and E. Sonnendrücker, GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV???MAXWELL SIMULATIONS, Mathematical Models and Methods in Applied Sciences, vol.17, issue.05, pp.657-680, 2007.
DOI : 10.1142/S0218202507002066

J. Bergh and J. Löfström, Interpolation Spaces: an Introduction, 1976.
DOI : 10.1007/978-3-642-66451-9

A. Bonito and J. Guermond, Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements, Mathematics of Computation, vol.80, issue.276, pp.1887-1910, 2011.
DOI : 10.1090/S0025-5718-2011-02464-6

S. C. Brenner and L. R. , Scott The Mathematical Theory of Finite Element Methods, 2008.

F. Brezzi and M. , Fortin Mixed and hybrid finite element methods, Series in Computational Mathematics 15, 1991.

Z. Chen, Q. Du, and J. Zou, Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients, SIAM Journal on Numerical Analysis, vol.37, issue.5, pp.1542-1570, 2000.
DOI : 10.1137/S0036142998349977

Z. Chen and H. Wu, Selected Topics in Finite Element Methods, 2010.

P. Ciarlet and . Jr, T-coercivity: Application to the discretization of Helmholtz-like problems, Computers & Mathematics with Applications, vol.64, issue.1, pp.22-34, 2012.
DOI : 10.1016/j.camwa.2012.02.034

URL : https://hal.archives-ouvertes.fr/hal-00849560

P. Ciarlet and . Jr, Analysis of the Scott???Zhang interpolation in the fractional order Sobolev spaces, Journal of Numerical Mathematics, vol.21, issue.3, pp.173-180, 2013.
DOI : 10.1515/jnum-2013-0007

URL : https://hal.archives-ouvertes.fr/hal-00937677

P. Ciarlet, J. , and S. Labrunie, NUMERICAL ANALYSIS OF THE GENERALIZED MAXWELL EQUATIONS (WITH AN ELLIPTIC CORRECTION) FOR CHARGED PARTICLE SIMULATIONS, Mathematical Models and Methods in Applied Sciences, vol.19, issue.11, pp.1959-1994, 2009.
DOI : 10.1142/S0218202509004017

URL : https://hal.archives-ouvertes.fr/hal-00291503

P. Ciarlet, J. , and J. Zou, Finite element convergence for the Darwin model to Maxwell's equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.31, issue.2, pp.31-213, 1997.
DOI : 10.1051/m2an/1997310202131

P. Ciarlet, J. , and J. Zou, Fully discrete finite element approaches for time-dependent Maxwell's equations, Numerische Mathematik, vol.82, issue.2, pp.193-219, 1999.
DOI : 10.1007/s002110050417

M. Costabel, M. Dauge, and S. Nicaise, Singularities of Maxwell interface problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.3, pp.627-649, 1999.
DOI : 10.1051/m2an:1999155

M. Dauge, Elliptic Boundary Value Problems on Corner Domains, Lecture notes in mathematics 1341, 1988.

M. Dauge, Singularities of Corner Problems and Problems of Corner Singularities, ESAIM: Proceedings, vol.6, pp.19-40, 1999.
DOI : 10.1051/proc:1999044

V. Girault and P. A. , Raviart Finite element methods for Navier-Stokes equations, Series in Computational Mathematics 5, 1986.

R. Hiptmair, Finite elements in computational electromagnetism, Acta Numerica, vol.11, pp.237-339, 2002.

R. Hiptmair and J. Xu, Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces, SIAM Journal on Numerical Analysis, vol.45, issue.6, pp.2483-2509, 2007.
DOI : 10.1137/060660588

Q. Hu and J. Zou, Substructuring preconditioners for saddle-point problems arising from Maxwell???s equations in three dimensions, Mathematics of Computation, vol.73, issue.245, pp.35-61, 2004.
DOI : 10.1090/S0025-5718-03-01541-2

Q. Hu and J. Zou, Nonlinear Inexact Uzawa Algorithms for Linear and Nonlinear Saddle-point Problems, SIAM Journal on Optimization, vol.16, issue.3, pp.798-825, 2006.
DOI : 10.1137/S1052623403428683

Q. Hu, S. Shu, and J. Zou, A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations, Mathematics of Computation, vol.77, issue.263, pp.1333-1353, 2008.
DOI : 10.1090/S0025-5718-08-02057-7

D. Jerison and C. Kenig, The Inhomogeneous Dirichlet Problem in Lipschitz Domains, Journal of Functional Analysis, vol.130, issue.1, pp.161-219, 1995.
DOI : 10.1006/jfan.1995.1067

A. B. Langdon, On enforcing Gauss' law in electromagnetic particle-in-cell codes, Computer Physics Communications, vol.70, issue.3, pp.447-450, 1992.
DOI : 10.1016/0010-4655(92)90105-8

B. Marder, A method for incorporating Gauss' law into electromagnetic PIC codes, Journal of Computational Physics, vol.68, issue.1, pp.48-55, 1987.
DOI : 10.1016/0021-9991(87)90043-X

P. Monk, Finite Element Methods for Maxwell's quations, 2003.

J. Nédélec, Mixed finite elements in ?3, Numerische Mathematik, vol.12, issue.3, pp.315-341, 1980.
DOI : 10.1007/BF01396415

S. Nicaise and A. Sändig, TRANSMISSION PROBLEMS FOR THE LAPLACE AND ELASTICITY OPERATORS: REGULARITY AND BOUNDARY INTEGRAL FORMULATION, Mathematical Models and Methods in Applied Sciences, vol.09, issue.06, pp.855-898, 1999.
DOI : 10.1142/S0218202599000403

T. Rusten and R. Winther, A Preconditioned Iterative Method for Saddlepoint Problems, SIAM Journal on Matrix Analysis and Applications, vol.13, issue.3, pp.887-904, 1992.
DOI : 10.1137/0613054

L. R. Scott and S. Zhang, Finite element interpolation of nonsmooth functions satisfying boundary conditions, Mathematics of Computation, vol.54, issue.190, pp.54-483, 1990.
DOI : 10.1090/S0025-5718-1990-1011446-7

G. Sleijpen, H. Van-der-vorst, and D. Fokkema, BiCGstab(l) and other hybrid Bi-CG methods, Numerical Algorithms, vol.15, issue.1, pp.75-109, 1994.
DOI : 10.1007/BF02141261