C. Amrouche, C. Bernardi, M. Dauge, and V. Girault, Vector potentials in three-dimensional nonsmooth domains, Math. Meth. Appl. Sci, vol.21, pp.823-864, 1998.

F. Assous, P. Ciarlet, and S. Labrunie, Mathematical foundations of computational electromagnetism, Applied Mathematical Sciences, vol.198, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01596575

A. Bermúdez, R. Rodríguez, and P. Salgado, Numerical treatment of realistic boundary conditions for the eddy current problem in an electrode via Lagrange multipliers, Mathematics of computation, vol.74, issue.249, pp.123-151, 2005.

A. Bonito, J. Guermond, and F. Luddens, Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains, J. Math. Anal. Appl, vol.408, pp.498-512, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01024489

A. Buffa, M. Costabel, and D. Sheen, On traces for H(curl

, ?) in Lipschitz domains, J. Math. Anal. Appl, vol.276, pp.845-867, 2002.

P. Ciarlet, On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields, Computers Math. Applic, vol.71, pp.85-104, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02276430

P. Ciarlet, On the approximation of electromagnetic fields by edge finite elements. Part 3: Sensitivity to coefficients, SIAM Journal on Mathematical Analysis, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02276430

M. Costabel, M. Dauge, and S. Nicaise, Singularities of Maxwell interface problems, Math. Mod. Num. Anal, vol.33, pp.627-649, 1999.

M. Costabel, M. Dauge, and S. Nicaise, Corner singularities and analytic regularity for linear elliptic systems. Part I: smooth domains, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00453934

A. Russo and A. Alonso, Finite element approximation of Maxwell eigenproblems on curved Lipschitz polyhedral domains, Applied numerical mathematics, vol.59, issue.8, pp.1796-1822, 2009.

K. Disser, H. Kaiser, and J. Rehberg, Optimal Sobolev regularity for linear second-order divergence elliptic operators occuring in real-world problems, SIAM J. Math. Anal, vol.47, pp.1719-1746, 2015.

P. Fernandes and G. Gilardi, Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions, Math. Models Meth. App. Sci, vol.7, pp.957-991, 1997.

P. W. Gross and P. R. Kotiuga, Electromagnetic theory and computation: a topological approach, vol.48, 2004.

R. Haller-dintelmann, H. Kaiser, and J. Rehberg, Direct computation of elliptic singularities across anisotropic, multi-material edges, J. Math. Sci, vol.172, pp.589-622, 2011.

F. Hecht, New development in FreeFem++, J. Numer. Math, vol.20, pp.251-265, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01476313

R. Hiptmair, Finite elements in computational electromagnetics, Acta Numerica, pp.237-339, 2002.

P. Monk, Finite element methods for Maxwell's equations, 2003.

E. Sébelin, Y. Peysson, X. Litaudon, D. Moreau, J. C. Miellou et al., Uniqueness and existence result around Lax-Milgram lemma: application to electromagnetic waves propagation in tokamak plasmas, Association Euratom-CEA, 1997.