N. Favretto-cristini, D. Komatitsch, J. M. Carcione, and F. Cavallini, Elastic surface waves in crystals. Part 1: Review of the physics, Ultrasonics, vol.51, issue.6, 2011.
DOI : 10.1016/j.ultras.2011.02.007

URL : https://hal.archives-ouvertes.fr/hal-00598334

F. R. Rollins-jr, T. C. Lim, and G. W. , ULTRASONIC REFLECTIVITY AND SURFACE WAVE PHENOMENA ON SURFACES OF COPPER SINGLE CRYSTALS, Applied Physics Letters, vol.12, issue.7, pp.236-238, 1968.
DOI : 10.1063/1.1651971

F. R. and R. Jr, Ultrasonic examination of liquid-solid boundaries using a right-angle reflector technique, J. Acoust. Soc. Am, vol.44, issue.2, pp.431-434, 1968.

A. A. Kolomenskii and A. A. Maznev, Phonon-focusing effect with laser-generated ultrasonic surface waves, Physical Review B, vol.48, issue.19, pp.14502-14512, 1993.
DOI : 10.1103/PhysRevB.48.14502

A. G. Every, K. Y. Kim, and A. A. Maznev, Surface dynamic response functions of anisotropic solids, Ultrasonics, vol.36, issue.1-5, pp.349-353, 1998.
DOI : 10.1016/S0041-624X(97)00039-5

A. G. Every and M. Deschamps, Principal surface wave velocities in the point focus acoustic materials signature V(z) of an anisotropic solid, Ultrasonics, vol.41, issue.7, pp.581-591, 2003.
DOI : 10.1016/S0041-624X(03)00155-0

J. X. Dessa and G. Pascal, Combined traveltime and frequency-domain seismic waveform inversion: a case study on multi-offset ultrasonic data, Geophysical Journal International, vol.154, issue.1, 2003.
DOI : 10.1046/j.1365-246X.2003.01956.x

URL : https://hal.archives-ouvertes.fr/hal-00406995

A. N. Darinskii and M. Weihnacht, Acoustic waves in bounded anisotropic media: theorems, estimations, and computations, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.52, issue.5, pp.792-801, 2005.
DOI : 10.1109/TUFFC.2005.1503964

K. Helbig, Foundations of anisotropy for exploration seismics Handbook of Geophysical exploration, section I: Seismic exploration, 1994.

S. Crampin, E. M. Chesnokov, and R. G. Hipkin, Seismic anisotropy -the state of the art II, Geophys, J. Roy. Astron. Soc, pp.76-77, 1984.

L. Thomsen, Weak elastic anisotropy, GEOPHYSICS, vol.51, issue.10, pp.1954-1966, 1986.
DOI : 10.1190/1.1442051

J. M. Carcione, Wave fields in real media: Theory and numerical simulation of wave propagation in anisotropic, anelastic, porous and electromagnetic media, 2007.

E. Tessmer, 3-D seismic modelling of general material anisotropy in the presence of the free surface by a Chebyshev spectral method, Geophys, J. Int, vol.121, pp.557-575, 1995.

D. Komatitsch, F. Coutel, and P. Mora, Tensorial formulation of the wave equation for modelling curved interfaces, Geophysical Journal International, vol.127, issue.1, 1996.
DOI : 10.1111/j.1365-246X.1996.tb01541.x

URL : https://hal.archives-ouvertes.fr/hal-00669053

A. T. Patera, A spectral element method for fluid dynamics: Laminar flow in a channel expansion, Journal of Computational Physics, vol.54, issue.3, pp.468-488, 1984.
DOI : 10.1016/0021-9991(84)90128-1

D. Komatitsch and J. P. Vilotte, The spectral-element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures, Bull. Seismol. Soc. Am, vol.88, issue.2, pp.368-392, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00669068

R. Vai, J. M. Castillo-covarrubias, F. J. Sánchez-sesma, D. Komatitsch, and J. P. Vilotte, Elastic wave propagation in an irregularly layered medium, Soil Dynamics and Earthquake Engineering, vol.18, issue.1, pp.11-18, 1999.
DOI : 10.1016/S0267-7261(98)00027-X

URL : https://hal.archives-ouvertes.fr/hal-00669057

G. Cohen, Higher-order numerical methods for transient wave equations, 2002.
DOI : 10.1007/978-3-662-04823-8

URL : https://hal.archives-ouvertes.fr/hal-01166961

M. O. Deville, P. F. Fischer, and E. H. Mund, High-Order Methods for Incompressible Fluid Flow, 2002.
DOI : 10.1017/cbo9780511546792

J. Tromp, D. Komatitsch, and Q. Liu, Spectral-element and adjoint methods in seismology, Communications in Computational Physics, vol.3, issue.1, pp.1-32, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00721213

J. M. Carcione, D. Kosloff, and R. Kosloff, WAVE-PROPAGATION SIMULATION IN AN ELASTIC ANISOTROPIC (TRANSVERSELY ISOTROPIC) SOLID, The Quarterly Journal of Mechanics and Applied Mathematics, vol.41, issue.3, pp.319-345, 1988.
DOI : 10.1093/qjmam/41.3.319

J. M. Carcione, D. Kosloff, A. Behle, and G. Seriani, A spectral scheme for wave propagation simulation in 3-D elastic???anisotropic media, GEOPHYSICS, vol.57, issue.12, pp.1593-1607, 1992.
DOI : 10.1190/1.1443227

D. Kosloff, D. Kessler, A. Q. Filho, E. Tessmer, A. Behle et al., Solution of the equations of dynamic elasticity by a Chebychev spectral method, GEOPHYSICS, vol.55, issue.6, pp.734-748, 1990.
DOI : 10.1190/1.1442885

J. M. Carcione, F. Poletto, and D. Gei, 3-D wave simulation in anelastic media using the Kelvin???Voigt constitutive equation, Journal of Computational Physics, vol.196, issue.1, pp.282-297, 2004.
DOI : 10.1016/j.jcp.2003.10.024

B. Lombard and J. Piraux, Numerical treatment of two-dimensional interfaces for acoustic and elastic waves, Journal of Computational Physics, vol.195, issue.1, 2004.
DOI : 10.1016/j.jcp.2003.09.024

URL : https://hal.archives-ouvertes.fr/hal-00004813

P. Moczo, J. Robertsson, and L. Eisner, The finite-difference time-domain method for modeling of seismic wave propagation Advances in wave propagation in heterogeneous media, of Advances in Geophysics, pp.421-516, 2007.

K. Van-wijk, D. Komatitsch, J. A. Scales, and J. Tromp, Analysis of strong scattering at the micro-scale, The Journal of the Acoustical Society of America, vol.115, issue.3, pp.1006-1011, 2004.
DOI : 10.1121/1.1647480

URL : https://hal.archives-ouvertes.fr/hal-00669058

S. J. Lee, H. W. Chen, Q. Liu, D. Komatitsch, B. S. Huang et al., Three-Dimensional Simulations of Seismic-Wave Propagation in the Taipei Basin with Realistic Topography Based upon the Spectral-Element Method, Bulletin of the Seismological Society of America, vol.98, issue.1, pp.253-264, 2008.
DOI : 10.1785/0120070033

URL : https://hal.archives-ouvertes.fr/hal-00721214

N. Favier, S. Chevrot, and D. Komatitsch, Near-field influence on shear wave splitting and traveltime sensitivity kernels, Geophysical Journal International, vol.156, issue.3, 2004.
DOI : 10.1111/j.1365-246X.2004.02178.x

URL : http://gji.oxfordjournals.org/cgi/content/short/156/3/467

G. Seriani, E. Priolo, and A. Pregarz, Modelling waves in anisotropic media by a spectral element method, Proceedings of the third international conference on mathematical and numerical aspects of wave propagation, pp.289-298, 1995.

D. Komatitsch, C. Barnes, and J. Tromp, Simulation of anisotropic wave propagation based upon a spectral element method, GEOPHYSICS, vol.65, issue.4, 2000.
DOI : 10.1190/1.1444816

URL : https://hal.archives-ouvertes.fr/hal-00669054

S. Chevrot, N. Favier, and D. Komatitsch, Shear wave splitting in three-dimensional anisotropic media, Geophysical Journal International, vol.159, issue.2, 2004.
DOI : 10.1111/j.1365-246X.2004.02432.x

URL : https://hal.archives-ouvertes.fr/hal-00669049

D. Komatitsch, L. P. Vinnik, and S. Chevrot, SHdiff-SVdiff splitting in an isotropic Earth, Journal of Geophysical Research, vol.28, issue.3???4, 2010.
DOI : 10.1029/2009JB006795

URL : https://hal.archives-ouvertes.fr/inria-00528484

D. Komatitsch, D. Michéa, and G. Erlebacher, Porting a high-order finite-element earthquake modeling application to NVIDIA graphics cards using CUDA, Journal of Parallel and Distributed Computing, vol.69, issue.5, 2009.
DOI : 10.1016/j.jpdc.2009.01.006

URL : https://hal.archives-ouvertes.fr/inria-00436426

D. Komatitsch, G. Erlebacher, D. Göddeke, and D. Michéa, High-order finite-element seismic wave propagation modeling with MPI on a large GPU cluster, Journal of Computational Physics, vol.229, issue.20, 2010.
DOI : 10.1016/j.jcp.2010.06.024

URL : https://hal.archives-ouvertes.fr/inria-00528481

D. Komatitsch, Fluid-solid coupling on a cluster of GPU graphics cards for seismic wave propagation, Comptes Rendus de l'Académie des Sciences -MécaniqueIn press

P. Micikevicius, 3D finite difference computation on GPUs using CUDA, Proceedings of 2nd Workshop on General Purpose Processing on Graphics Processing Units, GPGPU-2, pp.79-84, 2009.
DOI : 10.1145/1513895.1513905

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.472.447

D. Michéa and D. Komatitsch, Accelerating a 3D finite-difference wave propagation code using GPU graphics cards, Geophys. J. Int, vol.182, issue.1, pp.389-402, 2010.

D. Komatitsch and R. Martin, An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation, GEOPHYSICS, vol.72, issue.5, pp.155-167, 2007.
DOI : 10.1190/1.2757586

URL : https://hal.archives-ouvertes.fr/inria-00528418

R. Martin, D. Komatitsch, and S. D. Gedney, A variational formulation of a stabilized unsplit convolutional perfectly matched layer for the isotropic or anisotropic seismic wave equation, Comput. Model. Eng. Sci, vol.37, issue.3, pp.274-304, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00528432

R. Martin, D. Komatitsch, and A. Ezziani, An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media, GEOPHYSICS, vol.73, issue.4, pp.51-61, 2008.
DOI : 10.1190/1.2939484

C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral methods in fluid dynamics, 1988.
DOI : 10.1007/978-3-642-84108-8

E. Priolo, J. M. Carcione, and G. Seriani, Numerical simulation of interface waves by high???order spectral modeling techniques, The Journal of the Acoustical Society of America, vol.95, issue.2, pp.681-693, 1994.
DOI : 10.1121/1.408428

T. J. Hughes, The finite element method, linear static and dynamic finite element analysis, 1987.

N. Tarnow and J. C. Simo, How to render second order accurate time-stepping algorithms fourth order accurate while retaining the stability and conservation properties, Computer Methods in Applied Mechanics and Engineering, vol.115, issue.3-4, pp.115-233, 1994.
DOI : 10.1016/0045-7825(94)90061-2

T. Nissen-meyer, A. Fournier, and F. A. Dahlen, A 2-D spectral-element method for computing spherical-earth seismograms -II. Waves in solid-fluid media, Geophys, J. Int, vol.174, 2008.
URL : https://hal.archives-ouvertes.fr/insu-00354179

A. Maznev, A. M. Lomonosov, P. Hess, and A. A. Kolomenskii, Anisotropic effects in surface acoustic wave propagation from a point source in a crystal, The European Physical Journal B - Condensed Matter, vol.35, issue.3, pp.429-439, 2003.
DOI : 10.1140/epjb/e2003-00295-y

R. G. Payton, Elastic wave propagation in transversely isotropic media, Martinus Nijhoff, The Hague, The Netherlands, 1983.

O. Poncelet, M. Deschamps, A. Every, and B. , Audoin, Extension to cuspidal edges of wave surfaces of anisotropic solids: treatment of near cusp behavior, Review of Progress in Quantitative Nondestructive Evaluation, vol.20, pp.51-58, 2001.

M. Deschamps and O. Poncelet, Inhomogeneous plane wave and the most energetic complex ray, Ultrasonics, vol.40, issue.1-8, pp.293-296, 2002.
DOI : 10.1016/S0041-624X(02)00109-9

M. Deschamps and G. Huet, Complex surface rays associated with inhomogeneous skimming and Rayleigh waves, International Journal of Non-Linear Mechanics, vol.44, issue.5, pp.469-477, 2009.
DOI : 10.1016/j.ijnonlinmec.2009.01.009

URL : https://hal.archives-ouvertes.fr/hal-00531857

J. M. Carcione, Staggered mesh for the anisotropic and viscoelastic wave equation, GEOPHYSICS, vol.64, issue.6, pp.1863-1866, 1999.
DOI : 10.1190/1.1444692

R. G. Payton, Epicenter and Epicentral-Axis Motion of a Transversely Isotropic Elastic Half-Space, SIAM Journal on Applied Mathematics, vol.40, issue.3, pp.373-389, 1981.
DOI : 10.1137/0140031