C. Agut and J. Diaz, Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.47, issue.3, 2010.
DOI : 10.1051/m2an/2012061

URL : https://hal.archives-ouvertes.fr/hal-00759457

M. Ainsworth, P. Monk, and W. Muniz, Dispersive and Dissipative Properties of Discontinuous Galerkin Finite Element Methods for the Second-Order Wave Equation, Journal of Scientific Computing, vol.15, issue.2, pp.1-35, 2006.
DOI : 10.1007/s10915-005-9044-x

X. Antoine and H. Barucq, Microlocal Diagonalization of Strictly Hyperbolic Pseudodifferential Systems and Application to the Design of Radiation Conditions in Electromagnetism, SIAM Journal on Applied Mathematics, vol.61, issue.6
DOI : 10.1137/S0036139999353826

URL : https://hal.archives-ouvertes.fr/hal-00347872

X. Antoine, H. Barucq, and A. Bendali, Bayliss???Turkel-like Radiation Conditions on Surfaces of Arbitrary Shape, Journal of Mathematical Analysis and Applications, vol.229, issue.1, 1999.
DOI : 10.1006/jmaa.1998.6153

D. N. Arnold, F. Brezzi, B. Cockburn, and L. D. Marini, Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems, SIAM Journal on Numerical Analysis, vol.39, issue.5, pp.1749-1779, 2002.
DOI : 10.1137/S0036142901384162

D. N. Arnold, An Interior Penalty Finite Element Method with Discontinuous Elements, SIAM Journal on Numerical Analysis, vol.19, issue.4, pp.742-760, 1982.
DOI : 10.1137/0719052

C. Bardos, G. Lebeau, and J. Rauch, Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary, SIAM Journal on Control and Optimization, vol.30, issue.5, pp.1024-1065, 1992.
DOI : 10.1137/0330055

H. Barucq, A new family of first-order boundary conditions for the Maxwell system: derivation, well-posedness and long-time behavior, Journal de Math??matiques Pures et Appliqu??es, vol.82, issue.1, pp.67-88, 2002.
DOI : 10.1016/S0021-7824(02)00002-8

H. Barucq, J. Diaz, and V. Duprat, A new family of second-order absorbing boundary conditions for the acoustic wave equation -Part I: Construction and mathematical analysis, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00570301

H. Barucq, J. Diaz, and V. Duprat, Abstract, Communications in Computational Physics, vol.82, issue.02, pp.674-690, 2012.
DOI : 10.1090/S0025-5718-1977-0436612-4

H. Barucq and B. Hanouzet, Etude asymptotique du système de maxwell en dimension deux d'espace avec la condition aux limites absorbante de silver-müller, C. R. Acad. Sci., Série I, vol.316, pp.547-552, 1993.

F. Bassi and S. Rebay, A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier???Stokes Equations, Journal of Computational Physics, vol.131, issue.2, pp.267-279, 1997.
DOI : 10.1006/jcph.1996.5572

A. Bayliss and . Gunzburger, Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions, SIAM Journal on Applied Mathematics, vol.42, issue.2, pp.430-451, 1982.
DOI : 10.1137/0142032

B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Mathematics of Computation, vol.31, issue.139, pp.629-651, 1977.
DOI : 10.1090/S0025-5718-1977-0436612-4

D. Givoli and B. Neta, High-order non-reflecting boundary scheme for time-dependent waves, Journal of Computational Physics, vol.186, issue.1, pp.24-46, 2003.
DOI : 10.1016/S0021-9991(03)00005-6

M. J. Grote and J. B. Keller, Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation, SIAM Journal on Applied Mathematics, vol.55, issue.2, pp.280-297, 1995.
DOI : 10.1137/S0036139993269266

M. J. Grote, A. Schneebeli, and D. Schötzau, Discontinuous Galerkin Finite Element Method for the Wave Equation, SIAM Journal on Numerical Analysis, vol.44, issue.6, pp.2408-2431, 2006.
DOI : 10.1137/05063194X

URL : https://hal.archives-ouvertes.fr/hal-01443184

R. Higdon, Numerical absorbing boundary conditions for the wave equation, Mathematics of Computation, vol.49, issue.179, pp.65-90, 1987.
DOI : 10.1090/S0025-5718-1987-0890254-1

L. Hörmander, Pseudodifferential operators and hypoelliptic equations, AMS Proc. Sym. Pure Math, pp.138-183, 1967.

T. Kato, Perturbation Theory for Linear Operators, 1966.

J. L. Lions, Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, T.1: Contrôlabilité exacte, 1988.

L. Nirenberg, Pseudodifferential operators and some applications, CMBS Regional Conf. Ser. in Math., volume 17 of Lectures on Linear Partial Differential Equations, pp.19-58, 1973.

M. Sesqù-es, Conditions aux limites artificielles pour le système de Maxwell, 1990.

M. E. Taylor, Pseudodifferential Operators, 1981.

L. N. Trefethen and L. Halpern, Well-posedness of one-way wave equations and absorbing boundary conditions, Mathematics of Computation, vol.47, issue.176, pp.421-435, 1986.
DOI : 10.1090/S0025-5718-1986-0856695-2

S. V. Tsynkov, Numerical solution of problems on unbounded domains. A review, Applied Numerical Mathematics, vol.27, issue.4, pp.465-532, 1998.
DOI : 10.1016/S0168-9274(98)00025-7