B. Jemaa, M. Glinsky-olivier, N. Virieux, V. M. -a, and S. Piperno, Dynamic non-planar crack rupture by a finitevolume method, Geophys. J. Int, 2007.

M. J. Berger and R. J. Leveque, Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems, SIAM Journal on Numerical Analysis, vol.35, issue.6, pp.2298-2316, 1998.
DOI : 10.1137/S0036142997315974

T. Bohlen and E. Saenger, 3-D viscoelastic finite-difference modeling using the rotated staggered grid: tests of accuracy, 65th Annual International Meeting, 2003.

T. Bohlen and E. Saenger, Accuracy of heterogeneous staggered-grid finite-difference modeling of Rayleigh waves, GEOPHYSICS, vol.71, issue.4, pp.71-109, 2006.
DOI : 10.1190/1.2213051

J. M. Carcione, Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic and Porous Media, 2001.

M. Carpenter, D. Gottlieb, and S. Arbanel, Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes, Journal of Computational Physics, vol.111, issue.2, pp.220-236, 1994.
DOI : 10.1006/jcph.1994.1057

V. Cruz-atienza and J. Virieux, Dynamic rupture simulation of non-planar faults with a finite-difference approach, Geophys, J. Int, vol.158, pp.939-954, 2004.

N. Dai, A. Vafidis, and E. Kanasewich, Wave propagation in heterogeneous, porous media: A velocity???stress, finite???difference method, GEOPHYSICS, vol.60, issue.2, pp.327-340, 1995.
DOI : 10.1190/1.1443769

S. Day, Finite element analysis of seismic scattering problems, 1977.

M. Dumbser and M. Käser, An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - II. The three-dimensional isotropic case, Geophysical Journal International, vol.167, issue.1, pp.319-336, 2006.
DOI : 10.1111/j.1365-246X.2006.03120.x

H. Emmerich and M. Korn, Incorporation of attenuation into time???domain computations of seismic wave fields, GEOPHYSICS, vol.52, issue.9, pp.1252-1264, 1984.
DOI : 10.1190/1.1442386

W. Garvin, Exact Transient Solution of the Buried Line Source Problem, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.234, issue.1199, pp.528-541, 1955.
DOI : 10.1098/rspa.1956.0055

C. Gélis, D. Leparoux, J. Virieux, A. Bitri, S. Operto et al., Numerical Modeling of Surface Waves Over Shallow Cavities, Journal of Environmental & Engineering Geophysics, vol.10, issue.2, pp.49-59, 2005.
DOI : 10.2113/JEEG10.2.111

R. Graves, Simulating seismic wave propagation in 3- D elastic media using staggered-grid finite differences, Bull. Seismo. Soc. Am, vol.86, pp.1091-1106, 1996.

B. Gustafsson, The convergence rate for difference approximations to mixed initial boundary value problems, Mathematics of Computation, vol.29, issue.130, pp.396-406, 1975.
DOI : 10.1090/S0025-5718-1975-0386296-7

S. Hestholm, Elastic wave modeling with free surfaces: Stability of long simulations, GEOPHYSICS, vol.68, issue.1, pp.314-321, 2003.
DOI : 10.1190/1.1543217

R. Jih, K. Mclaughlin, and Z. Der, Free-boundary conditions of arbitrary polygonal topography in a two-dimensional explicit finite-difference scheme, Geophysics, pp.1045-1055, 1988.

K. Kelly, R. Ward, S. Treitel, and R. Alford, SYNTHETIC SEISMOGRAMS: A FINITE ???DIFFERENCE APPROACH, GEOPHYSICS, vol.41, issue.1, pp.41-43, 1976.
DOI : 10.1190/1.1440605

D. Komatitsch and J. Vilotte, The spectral element method: an efficient tool to simulate the seismic response of 2-D and 3-D geological structures, Bull, Seismo. Soc. Am, vol.88, pp.368-392, 1998.

A. Levander, Fourth-order finite-difference p-sv seismograms , Geophysics, pp.1425-1436, 1988.

R. Leveque, Numerical Methods for Conservation Laws, 1992.

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

B. Lombard and J. Piraux, Numerical modeling of elastic waves across imperfect contacts., SIAM Journal on Scientific Computing, vol.28, issue.1, pp.172-205, 2006.
DOI : 10.1137/05062740X
URL : https://hal.archives-ouvertes.fr/hal-00004815

F. Lörcher and C. Munz, Lax-Wendroff-type schemes of arbitrary order in several space dimensions, IMA Journal of Numerical Analysis, vol.27, issue.3, pp.1-28, 2005.
DOI : 10.1093/imanum/drl031

P. Moczo and J. Kristek, On the rheological models used for time-domain methods of seismic wave propagation, Geophysical Research Letters, vol.121, issue.1, p.1029, 2005.
DOI : 10.1029/2004GL021598

P. Moczo, J. Kristek, J. Vavrycuk, R. Archuleta, and L. Halada, 3D Heterogeneous Staggered-Grid Finite-Difference Modeling of Seismic Motion with Volume Harmonic and Arithmetic Averaging of Elastic Moduli and Densities, Bulletin of the Seismological Society of America, vol.92, issue.8, pp.3042-3066, 2002.
DOI : 10.1785/0120010167

P. Moczo, J. Kristek, and M. Galis, Simulation of the Planar Free Surface with Near-Surface Lateral Discontinuities in the Finite-Difference Modeling of Seismic Motion, Bulletin of the Seismological Society of America, vol.94, issue.2, pp.760-768, 2004.
DOI : 10.1785/0120030051

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 Heterogeneous Earth, 2007.
DOI : 10.1016/S0065-2687(06)48008-0

F. Muir, J. Dellinger, J. Etgen, and D. Nichols, Modeling elastic fields across irregular boundaries, GEOPHYSICS, vol.57, issue.9, pp.1189-1193, 1992.
DOI : 10.1190/1.1443332

J. Piraux and B. Lombard, A New Interface Method for Hyperbolic Problems with Discontinuous Coefficients: One-Dimensional Acoustic Example, Journal of Computational Physics, vol.168, issue.1, pp.227-248, 2001.
DOI : 10.1006/jcph.2001.6696
URL : https://hal.archives-ouvertes.fr/hal-00004811

J. Robertsson, A numerical free???surface condition for elastic/viscoelastic finite???difference modeling in the presence of topography, GEOPHYSICS, vol.61, issue.6, pp.61-1921, 1996.
DOI : 10.1190/1.1444107

D. Rodrigues, Large Scale Modelling of Seismic Wave Propagation, 1995.

E. Saenger and T. Bohlen, Finite???difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid, GEOPHYSICS, vol.69, issue.2, pp.583-591, 2004.
DOI : 10.1190/1.1707078

E. H. Saenger, N. Gold, and S. A. Shapiro, Modeling the propagation of elastic waves using a modified finite-difference grid, Wave Motion, vol.31, issue.1, pp.77-92, 2000.
DOI : 10.1016/S0165-2125(99)00023-2

F. Sánchez-sesma and U. Iturrarán-viveros, The Classic Garvin's Problem Revisited, Bulletin of the Seismological Society of America, vol.96, issue.4A, pp.1344-1351, 2006.
DOI : 10.1785/0120050174

T. Schwartzkopff, M. Dumbser, and M. Käser, Fast high order finite volume schemes for linear wave propagation, 2005.

R. Stacey, New finite-difference methods for free surfaces with a stability analysis, Bull. Seismo. Soc. Am, vol.84, pp.171-184, 1994.

E. Tessmer and D. Kosloff, 3-D elastic modeling with surface topography by a Chebychev spectral method, GEOPHYSICS, vol.59, issue.3, pp.464-473, 1994.
DOI : 10.1190/1.1443608

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

J. Zahradníkzahradník, Simple elastic finite-difference scheme, Bull, Seismo. Soc. Am, vol.85, pp.1879-1887, 1995.

W. Zhang and X. Chen, Traction image method for irregular free surface boundaries in finite difference seismic wave simulation, Geophysical Journal International, vol.167, issue.1, pp.337-353, 2006.
DOI : 10.1111/j.1365-246X.2006.03113.x