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

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

A. Antoine, M. Bendali, and . Darbas, ANALYTIC PRECONDITIONERS FOR THE BOUNDARY INTEGRAL SOLUTION OF THE SCATTERING OF ACOUSTIC WAVES BY OPEN SURFACES, Journal of Computational Acoustics, vol.24, issue.03, pp.477-498, 2005.
DOI : 10.1142/S0218396X05002815

URL : https://hal.archives-ouvertes.fr/hal-00091670

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 and M. Darbas, Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.41, issue.1, pp.41-147, 2007.
DOI : 10.1051/m2an:2007009

URL : https://hal.archives-ouvertes.fr/hal-00141047

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

T. Beckte and E. Spence, Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering, SIAM J. Numer. Anal, vol.49, pp.1572-1601, 2011.

J. P. 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

T. Betcke, S. Chandler-wilde, I. G. Graham, S. Langdon, and M. Lindner, Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation, Numerical Methods for Partial Differential Equations, vol.9, issue.1, pp.31-69, 2000.
DOI : 10.1002/num.20643

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.

M. Bonnet, Boundary integral equations methods in solids and fluids, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00112718

M. Bonnet and A. Constantinescu, Inverse problems in elasticity, Inverse Problems, vol.21, issue.2, pp.1-50, 2005.
DOI : 10.1088/0266-5611/21/2/R01

URL : https://hal.archives-ouvertes.fr/hal-00111264

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, R. Paffenroth, and C. Turc, Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations, Journal of Computational Physics, vol.228, issue.17, pp.6169-6183, 2009.
DOI : 10.1016/j.jcp.2009.05.020

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

O. Bruno and S. Lintner, Second-kind integral solvers for TE and TM problems of diffraction by open arcs, Radio Science, vol.1, issue.4, p.47, 2012.
DOI : 10.1029/2012RS005035

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. Chaiilat, M. Darbas, and F. L. Louër, Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves, Computer Methods in Applied Mechanics and Engineering, vol.297, pp.62-83, 2015.
DOI : 10.1016/j.cma.2015.08.013

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. 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, 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

S. Chaillat, J. 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

S. Chandler-wilde, I. G. Graham, S. Langdon, and E. A. Spence, Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering, Acta Numerica, vol.21, pp.89-305, 2012.
DOI : 10.1017/S0962492912000037

W. C. Chew and Q. H. 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

S. Christiansen, Discrete Fredholm properties and convergence estimates for the electric field integral equation, Mathematics of Computation, vol.73, issue.245, pp.143-167, 2004.
DOI : 10.1090/S0025-5718-03-01581-3

S. Christiansen and J. C. Nédélec, A Preconditioner for the Electric Field Integral Equation Based on Calderon Formulas, SIAM Journal on Numerical Analysis, vol.40, issue.3, pp.1100-1135, 2002.
DOI : 10.1137/S0036142901388731

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

B. Cockburn and P. Joly, Maxwell Equations in Polarizable Media, SIAM Journal on Mathematical Analysis, vol.19, issue.6, pp.1372-1390, 1988.
DOI : 10.1137/0519101

C. Coifman, V. Rokhlin, and S. Wandzura, The fast multipole method for the wave equation: a pedestrian prescription, IEEE Antennas and Propagation Magazine, vol.35, issue.3, pp.7-12, 1993.
DOI : 10.1109/74.250128

D. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory, 2012.
DOI : 10.1007/978-1-4614-4942-3

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

E. Darve, The Fast Multipole Method: Numerical Implementation, Journal of Computational Physics, vol.160, issue.1, pp.195-240, 2000.
DOI : 10.1006/jcph.2000.6451

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.460.298

J. W. Demmel, S. C. Eisenstat, J. R. Gilbert, X. S. Li, and J. W. Liu, A Supernodal Approach to Sparse Partial Pivoting, SIAM Journal on Matrix Analysis and Applications, vol.20, issue.3, pp.720-755, 1999.
DOI : 10.1137/S0895479895291765

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.131.6235

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

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.

P. Hähner and G. C. Hsiao, Uniqueness theorems in inverse obstacle scattering of elastic waves, Inverse Problems, vol.9, issue.5, pp.525-534, 1993.
DOI : 10.1088/0266-5611/9/5/002

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. P. 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, Potential methods in the theory of elasticity, Translated from the Russian by H. Gutfreund. Translation edited by I. Meroz, Israel Program for Scientific Translations, 1965.

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

D. P. Levadoux, Proposition de pr??conditionneurs pseudo-diff??rentiels pour l'??quation CFIE de l'??lectromagn??tisme, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.1, pp.39-147, 2005.
DOI : 10.1051/m2an:2005005

D. P. Levadoux and B. L. Michielsen, Nouvelles formulations int??grales pour les probl??mes de diffraction d'ondes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.38, issue.1, pp.38-157, 2004.
DOI : 10.1051/m2an:2004008

X. Li, J. Demmel, J. Gilbert, L. Grigori, M. Shao et al., SuperLU Users' Guide, Last update, 1999.

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. 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

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

S. Pernet, A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition, ESAIM: Mathematical Modelling and Numerical Analysis, vol.44, issue.4, pp.781-801, 2010.
DOI : 10.1051/m2an/2010023

V. Rokhlin, Rapid solution of integral equations of scattering theory in two dimensions, Journal of Computational Physics, pp.86-414, 1990.

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.

O. Steinbach and W. L. Wendland, The construction of some efficient preconditioners in the boundary element method, Advances in Computational Mathematics, vol.9, issue.1/2, pp.191-216, 1998.
DOI : 10.1023/A:1018937506719

E. Van-'t-wout, P. Gélat, T. Betcke, and S. Arridge, A fast boundary element method for the scattering analysis of high-intensity focused ultrasound, The Journal of the Acoustical Society of America, vol.138, issue.5, pp.2726-2737, 2015.
DOI : 10.1121/1.4932166

J. Virieux, H. Calandra, and R. E. 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

Y. Saad, Iterative methods for sparse linear systems, 1996.
DOI : 10.1137/1.9780898718003