F. Alouges, S. Borel, and D. P. Levadoux, A stable well-conditioned integral equation for electromagnetism scattering, Journal of Computational and Applied Mathematics, vol.204, issue.2, pp.440-451, 2007.
DOI : 10.1016/j.cam.2006.02.049

C. Alves and T. H. Duong, On the far field amplitude for elastic waves, Modern Mathematical Methods in Diffractions Theory and its Applications in Engineering, pp.49-67, 1997.

X. Antoine, Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method, IMA Journal of Applied Mathematics, vol.66, issue.1, pp.83-110, 2001.
DOI : 10.1093/imamat/66.1.83
URL : https://hal.archives-ouvertes.fr/hal-00347869

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, pp.184-211, 1999.
DOI : 10.1006/jmaa.1998.6153

X. Antoine and M. Darbas, Alternative integral equations for the iterative solution of acoustic scattering problems, The Quarterly Journal of Mechanics and Applied Mathematics, vol.58, issue.1, pp.107-128, 2005.
DOI : 10.1093/qjmamj/hbh023
URL : https://hal.archives-ouvertes.fr/hal-00091668

X. Antoine, M. Darbas, and Y. Y. Lu, An improved surface radiation condition for high-frequency acoustic scattering problems, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.33-36, pp.4060-4074, 2006.
DOI : 10.1016/j.cma.2005.07.010

G. A. Baker and P. R. Graves-morris, Padé approximants, Encyclopedia of Mathematics and its Applications, 1996.

H. Barucq, R. Djellouli, and A. , Saint-Guirons, Performance assessment of a new class of local absorbing boundary conditions for elliptical-and prolate spheroidal-shaped boundaries, Applied Numerical Mathematics, pp.59-1467, 2009.

H. Barucq, R. Djellouli, and A. , Saint-Guirons, High-frequency analysis of the efficiency of a local approximate DtN2 boundary condition for prolate spheroidal-shaped boundaries, Wave motion, pp.47-583, 2010.

A. Bayliss and E. Turkel, Radiation boundary conditions for wave-like equations, Communications on Pure and Applied Mathematics, vol.7, issue.6, pp.707-725, 1980.
DOI : 10.1002/cpa.3160330603

J. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.185-200, 1994.
DOI : 10.1006/jcph.1994.1159

J. Bielak, K. Loukakis, Y. Hisada, and C. Yoshimura, Domain reduction method for threedimensional earthquake modeling in localized regions, part i: Theory, pp.817-824, 2003.

Y. Boubendir, X. Antoine, and C. Geuzaine, A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation, Journal of Computational Physics, vol.231, issue.2, pp.231-262, 2012.
DOI : 10.1016/j.jcp.2011.08.007
URL : https://hal.archives-ouvertes.fr/hal-01094828

Y. Boubendir and C. Turc, Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems, Computers & Mathematics with Applications, vol.67, issue.10, pp.1772-1805, 2014.
DOI : 10.1016/j.camwa.2014.04.003

O. Bruno, T. Elling, and C. Turc, Regularized integral equations and fast high-order solvers for sound-hard acoustic scattering problems, International Journal for Numerical Methods in Engineering, vol.58, issue.2, pp.91-1045, 2012.
DOI : 10.1002/nme.4302

B. Carpentieri, A Matrix-free Two-grid Preconditioner for Solving Boundary Integral Equations in Electromagnetism, Computing, vol.14, issue.10, pp.77-275, 2006.
DOI : 10.1007/s00607-006-0161-7

B. Carpentieri, I. Duff, and L. Giraud, Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism, Numerical Linear Algebra with Applications, vol.19, issue.7-8, pp.667-685, 2000.
DOI : 10.1002/1099-1506(200010/12)7:7/8<667::AID-NLA218>3.0.CO;2-X

B. Carpentieri, I. S. Duff, L. Giraud, and G. Sylvand, Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations, SIAM Journal on Scientific Computing, vol.27, issue.3, pp.774-792, 2005.
DOI : 10.1137/040603917

C. Cerjan, D. Kosloff, R. Kosloff, and M. Reshef, A nonreflecting boundary condition for discrete acoustic and elastic wave equations, GEOPHYSICS, vol.50, issue.4, pp.50-705, 1985.
DOI : 10.1190/1.1441945

S. Chaillat and M. Bonnet, Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics, Wave Motion, vol.50, issue.7, pp.1090-1104, 2013.
DOI : 10.1016/j.wavemoti.2013.03.008
URL : https://hal.archives-ouvertes.fr/hal-00805764

S. Chaillat, M. Bonnet, and J. F. Semblat, A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.49-50, pp.4233-4249, 2008.
DOI : 10.1016/j.cma.2008.04.024
URL : https://hal.archives-ouvertes.fr/hal-00276092

S. Chaillat, J. F. Semblat, and M. Bonnet, Abstract, Communications in Computational Physics, vol.48, issue.02, pp.594-609, 2012.
DOI : 10.1111/j.1365-246X.2006.02928.x

E. Chaljub, D. Komatitsch, J. Vilotte, Y. Capdeville, B. Valette et al., Spectral-element analysis in seismology, Advances in Geophysics, vol.48, pp.365-419, 2007.
DOI : 10.1016/S0065-2687(06)48007-9
URL : https://hal.archives-ouvertes.fr/insu-00345810

W. Chew and Q. Liu, PERFECTLY MATCHED LAYERS FOR ELASTODYNAMICS: A NEW ABSORBING BOUNDARY CONDITION, Journal of Computational Acoustics, vol.04, issue.04, pp.341-359, 1996.
DOI : 10.1142/S0218396X96000118

R. Clayton and B. Engquist, Absorbing boundary conditions for acoustic and elastic wave equations, pp.1529-1540, 1977.

D. L. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory, of Applied Mathematical Sciences, 1998.
DOI : 10.1007/978-1-4614-4942-3

M. Darbas, Préconditionneurs analytiques de type Calderón pour les formulations intégrales des problèmes de diffraction d'ondes, 2004.

M. Darbas, Generalized combined field integral equations for the iterative solution of the three-dimensional Maxwell equations, Applied Mathematics Letters, vol.19, issue.8, pp.834-839, 2006.
DOI : 10.1016/j.aml.2005.11.005

M. Darbas, E. Darrigrand, and Y. Lafranche, Combining analytic preconditioner and Fast Multipole Method for the 3-D Helmholtz equation, Journal of Computational Physics, vol.236, pp.289-316, 2013.
DOI : 10.1016/j.jcp.2012.10.059
URL : https://hal.archives-ouvertes.fr/hal-00749822

M. Darbas and F. L. Louër, Well-conditioned boundary integral formulations for high-frequency elastic scattering problems in three dimensions, Mathematical Methods in the Applied Sciences, vol.93, issue.3, pp.1705-1733, 2015.
DOI : 10.1002/mma.3179
URL : https://hal.archives-ouvertes.fr/hal-00839653

M. Bouajaji, X. Antoine, and C. Geuzaine, Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations, Journal of Computational Physics, vol.279, pp.279-241, 2014.
DOI : 10.1016/j.jcp.2014.09.011

B. Engquist and A. Majda, Radiation boundary conditions for acoustic and elastic wave calculations, Communications on Pure and Applied Mathematics, vol.28, issue.3, pp.314-358, 1979.
DOI : 10.1002/cpa.3160320303

G. K. Gächter and M. J. Grote, Dirichlet-to-Neumann map for three-dimensional elastic waves, Wave Motion, vol.37, issue.3, pp.293-311, 2003.
DOI : 10.1016/S0165-2125(02)00091-4

M. Gander, F. Magoules, and F. Nataf, Optimized Schwarz Methods without Overlap for the Helmholtz Equation, SIAM Journal on Scientific Computing, vol.24, issue.1, pp.38-60, 2002.
DOI : 10.1137/S1064827501387012
URL : https://hal.archives-ouvertes.fr/hal-00624495

D. Givoli, High-Order Nonreflecting Boundary Conditions without High-Order Derivatives, Journal of Computational Physics, vol.170, issue.2, pp.849-870, 2001.
DOI : 10.1006/jcph.2001.6766

R. W. Graves, Simulating seismic wave propagation in 3d elastic media using staggered-grid finite differences, pp.1091-1106, 1996.

M. Grote and J. Keller, Exact nonreflecting boundary condition for elastic waves, SIAM J. Appl. Math, vol.60, pp.803-818, 2000.

L. Halpern, S. Petit-bergez, and J. Rauch, THE ANALYSIS OF MATCHED LAYERS, Confluentes Mathematici, vol.03, issue.02, pp.159-236, 2011.
DOI : 10.1142/S1793744211000291
URL : https://hal.archives-ouvertes.fr/hal-00551855

J. S. Hesthaven and T. Warburton, Nodal discontinuous Galerkin methods: algorithms, analysis, and applications, 2007.
DOI : 10.1007/978-0-387-72067-8

D. S. Jones, An approximate boundary condition in acoustics, Journal of Sound and Vibration, vol.121, issue.1, pp.37-45, 1998.
DOI : 10.1016/S0022-460X(88)80059-2

D. Komatitsch and J. Vilotte, The spectral element method: an efficient tool to simulate the seismic response of 2d and 3d geological structures, Bulletin of the seismological society of America, vol.88, pp.368-392, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00669068

G. A. Kriegsmann, A. Taflove, and K. R. Umashankar, A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach, IEEE Transactions on Antennas and Propagation, vol.35, issue.2, pp.153-161, 1987.
DOI : 10.1109/TAP.1987.1144062

V. D. Kupradze, T. G. Gegelia, M. O. Bashele?, and T. V. Burchuladze, Threedimensional problems of the mathematical theory of elasticity and thermoelasticity, of North- Holland Series in Applied Mathematics and Mechanics

F. and L. Louër, A high order spectral algorithm for elastic obstacle scattering in three dimensions, Journal of Computational Physics, vol.279, pp.1-17, 2014.
DOI : 10.1016/j.jcp.2014.08.047

Y. J. Liu, S. Mukherjee, N. Nishimura, M. Schanz, W. Ye et al., Recent Advances and Emerging Applications of the Boundary Element Method, Recent Advances and Emerging Applications of the Boundary Element Method, p.30802, 2011.
DOI : 10.1115/1.4005491
URL : https://hal.archives-ouvertes.fr/hal-01401752

Y. Y. Lu, A complex coefficient rational approximation of, Applied Numerical Mathematics, vol.27, issue.2, pp.141-154, 1998.
DOI : 10.1016/S0168-9274(98)00009-9

F. Magoules, F. Roux, and S. Salmon, Optimal Discrete Transmission Conditions for a Nonoverlapping Domain Decomposition Method for the Helmholtz Equation, SIAM Journal on Scientific Computing, vol.25, issue.5, pp.25-1497, 2004.
DOI : 10.1137/S1064827502415351
URL : https://hal.archives-ouvertes.fr/hal-00624189

F. Magoules, F. Roux, and L. Series, Algebraic approximation of Dirichlet-to-Neumann maps for the equations of linear elasticity, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.29-32, pp.3742-3759, 2006.
DOI : 10.1016/j.cma.2005.01.022
URL : https://hal.archives-ouvertes.fr/hal-00624147

M. Medvinsky and E. Turkel, On surface radiation conditions for an ellipse, Journal of Computational and Applied Mathematics, vol.234, issue.6, pp.1647-1655, 2010.
DOI : 10.1016/j.cam.2009.08.011

F. A. Milinazzo, C. A. Zala, and G. H. Brooke, Rational square-root approximations for parabolic equation algorithms, The Journal of the Acoustical Society of America, vol.101, issue.2, pp.760-766, 1997.
DOI : 10.1121/1.418038

P. Monk, Finite element methods for Maxwell's equations, Numerical Mathematics and Scientific Computation, 2003.
DOI : 10.1093/acprof:oso/9780198508885.001.0001

J. Nédélec, Acoustic and electromagnetic equations Integral representations for harmonic problems, of Applied Mathematical Sciences, 2001.

E. H. Saenger, N. Gold, and S. A. Shapiro, Modeling the propagation of elastic waves using a modified finite-difference grid, Wave motion, pp.31-77, 2000.

J. Virieux, H. Calandra, and R. Plessix, A review of the spectral, pseudo-spectral, finitedifference and finite-element modelling techniques for geophysical imaging, Geophysical Prospecting, pp.59-794, 2011.
URL : https://hal.archives-ouvertes.fr/insu-00681794