R. Abgrall and C. W. Shu, Handbook of numerical methods for hyperbolic problems, vol.17, 2016.

A. B. Andreev and R. D. Lazarov, Superconvergence of the gradient for quadratic triangular finite elements, Numer. Methods for PDEs, vol.4, pp.15-32, 1988.

D. N. Arnold, F. Brezzi, B. Cockburn, and L. D. Marini, Unified analysis of discontinuous Galerkin, methods for elliptic problems, SIAM J. Numer. Anal, vol.39, issue.5, pp.1749-1779, 2002.

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

I. Babuska, T. Strouboulis, C. S. Upadhyay, and S. K. Gangaraj, Validation of recipes for the recovery of stresses and derivatives by a computer-based approach, Math. Comput. Mode, vol.20, 1994.

, superconvergence of the derivatives in finite element solutions of laplaces, poissons and the elasticity equations, Numer. Methods for PDEs, vol.12, pp.347-392, 1996.

A. Bondeson, T. Rylander, and P. Ingelström, Computational Eelectromagnetics, 2013.

M. H. Carpenter and C. A. Kennedy, Fourth-order 2N-storage Runge-Kutta schemes, NASA, vol.109112, 1994.

P. Castillo, B. Cockbrn, I. Perugia, and D. Schötzau, An a priori error analysis of the local discontinuous Galerkin method for elliptic problems, SIAM J. Numer. Anal, vol.38, issue.5, pp.1676-1706, 2000.

P. G. Ciarlet, The finite element method for elliptic problems, 2002.

L. Fezoui, S. Lanteri, S. Lohrengel, and S. Piperno, Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes, ESAIM Math. Model. Numer. Anal, vol.39, issue.6, pp.1149-1176, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00210500

S. V. Gaponenko, Introduction to nanophotonics, 2010.

G. Goodsell and J. R. Whiteman, A unified treatment of superconvergent recovered gradient functions for piecewise linear finite element approximations, Internat. J. Numer. Methods. Eng, vol.27, pp.469-481, 1989.

D. J. Griffiths, Introduction to Electrodynamics, 1999.

T. Hagstrom and S. Lau, Radiation boundary conditions for Maxwell's equations: A review of accurate time-domain formulations, J. Comput. Math, vol.25, issue.3, pp.305-336, 2007.

J. Hesthaven and T. Warburton, Nodal high-order methods on unstructured grids. I. Time-domain solution of Maxwll's equations, J. Comput. Phys, vol.181, issue.1, pp.186-221, 2002.

P. Russer, Electromagnetics, microwave circuit and antenna design for communications engineering, 2006.

M. Stanglmeier, N. Nguyen, J. Peraire, and B. Cockburn, An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation, Comput. Meth. Appl. Mech. Engrg, vol.300, pp.748-769, 2016.

J. Viquerat, Simulation of electromagnetic waves propagation in nano-optics with a high-order discontinuous Galerkin time-domain method, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01272010

K. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antennas Propag, vol.16, pp.302-307, 1966.