E. Bossy, Evaluation ultrasonore de l'os cortical par transmission axiale : modélisation et expérimentation in vitro et in vivo. Theses, 2003.

S. C. Brenner and L. Scott, The Finite Element Method for Solid and Structural Mechanics, 2008.

E. Chaljub, Y. Capdeville, and J. Vilotte, Solving elastodynamics in a fluid???solid heterogeneous sphere: a parallel spectral element approximation on non-conforming grids, Journal of Computational Physics, vol.187, issue.2, pp.457-491, 2003.
DOI : 10.1016/S0021-9991(03)00119-0

URL : https://hal.archives-ouvertes.fr/hal-00109457

G. Derveaux, Modélisation numérique de la guitare acoustique, 2002.

J. Diaz, J. Grote, and M. , Energy conserving explicit local time stepping for secondorder wave equations, The 8th International Conference on Mathematical and Numerical Aspects of Waves Propagation, 2007.
DOI : 10.1137/070709414

URL : https://hal.archives-ouvertes.fr/inria-00508573

Y. Dudouit, Spatio-temporal refinement using a discontinuous Galerkin approach for elastodynamic in a high performance computing framework, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01332446

B. Fornberg, The pseudospectral method: Accurate representation of interfaces in elastic wave calculations, GEOPHYSICS, vol.53, issue.5, pp.625-637, 1988.
DOI : 10.1190/1.1442497

C. Gary, Higher-Order Numerical Methods for Transient Wave Equations, 2002.

J. S. Hesthaven and T. Warburton, Nodal discontinuous Galerkin methods: algorithms, analysis, and applications, 2008.
DOI : 10.1007/978-0-387-72067-8

R. W. Hoberecht, R. W. Hoberecht, R. J. Leveque, J. N. Kutz, and R. W. Hoberecht, A finite volume approach to modeling injury mechanisms of blast-induced traumatic brain injury, 2009.

Z. Jianfeng and L. Tielin, P-SV-wave propagation in heterogeneous media: grid method, Geophysical Journal International, vol.136, issue.2, pp.431-438, 1999.
DOI : 10.1111/j.1365-246X.1999.tb07129.x

Z. Jianfeng and L. Tielin, Elastic wave modelling in 3D heterogeneous media: 3D grid method, Geophysical Journal International, vol.150, issue.3, pp.780-799, 2002.
DOI : 10.1046/j.1365-246X.2002.01743.x

D. Komatitsch, C. Barnes, and J. Tromp, Wave propagation near a fluid???solid interface: A spectral???element approach, GEOPHYSICS, vol.65, issue.2, pp.623-631, 2000.
DOI : 10.1190/1.1444758

URL : https://hal.archives-ouvertes.fr/hal-00669051

D. Dan, E. Kosloff, and . Baysal, Forward modeling by a fourier method, Geophysics, issue.10, pp.471402-1412, 1982.

R. J. Leveque, Finite volume methods for hyperbolic problems, 2002.
DOI : 10.1017/CBO9780511791253

B. Lombard and J. Piraux, Numerical treatment of two-dimensional interfaces for acoustic and elastic waves, Journal of Computational Physics, vol.195, issue.1, pp.90-116, 2004.
DOI : 10.1016/j.jcp.2003.09.024

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

P. Moczo, J. O. Robertsson, and L. Eisner, The Finite-Difference Time-Domain Method for Modeling of Seismic Wave Propagation, Advances in Wave Propagation in Heterogenous Earth, pp.421-516, 2007.
DOI : 10.1016/S0065-2687(06)48008-0

T. Pointer, E. Liu, and J. A. Hudson, Numerical modelling of seismic waves scattered by hydrofractures: application of the indirect boundary element method, Geophysical Journal International, vol.135, issue.1, pp.289-303, 1998.
DOI : 10.1046/j.1365-246X.1998.00644.x

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

B. Riviere, Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations: Theory and Implementation, Society for Industrial and Applied Mathematics, 2008.
DOI : 10.1137/1.9780898717440

A. Rodríguez-castellanos, E. Flores, F. J. Sánchez-sesma, C. Ortiz-alemán, M. Nava-flores et al., Indirect Boundary Element Method applied to fluid???solid interfaces, Soil Dynamics and Earthquake Engineering, vol.31, issue.3, pp.31470-477, 2011.
DOI : 10.1016/j.soildyn.2010.10.007

S. Sun and M. F. Wheeler, Discontinuous Galerkin methods for coupled flow and reactive transport problems, {ADAPT} '03: Conference on Adaptive Methods for Partial Differential Equations and Large-Scale Computation, pp.273-298, 2005.
DOI : 10.1016/j.apnum.2004.08.035

J. Virieux, wave propagation in heterogeneous media: Velocity???stress finite???difference method, GEOPHYSICS, vol.51, issue.4, pp.889-901, 1986.
DOI : 10.1190/1.1442147

P. Voinovich, A. Merlen, E. Timofeev, and K. Takayama, A Godunov-type finite-volume scheme for unified solid-liquid elastodynamics on arbitrary two-dimensional grids, Shock Waves, vol.13, issue.3, pp.221-230, 2003.
DOI : 10.1007/s00193-003-0211-4

T. Warburton and J. Hesthaven, On the constants in hp-finite element trace inverse inequalities, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.25, pp.2765-2773, 2003.
DOI : 10.1016/S0045-7825(03)00294-9

C. Lucas, G. Wilcox, C. Stadler, O. Burstedde, and . Ghattas, A high-order discontinuous galerkin method for wave propagation through coupled elastic-acoustic media, Journal of Computational Physics, vol.229, issue.24, pp.9373-9396, 2010.

K. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. Antennas and Propagation, IEEE Transactions on, vol.14, issue.3, pp.302-307, 1966.

O. C. Zienkewicz, Finite elements and approximation, 1983.