C. Boutin and P. Roussillon, Wave propagation in presence of oscillators on the free surface, International Journal of Engineering Science, vol.44, issue.3-4, pp.180-204, 2006.
DOI : 10.1016/j.ijengsci.2005.10.002

URL : https://hal.archives-ouvertes.fr/hal-00943759

Y. Capdeville, L. Guillot, and J. J. Marigo, 1-D non-periodic homogenization for the seismic wave equation, Geophysical Journal International, vol.181, pp.897-910, 2010.
DOI : 10.1111/j.1365-246X.2010.04529.x

URL : https://hal.archives-ouvertes.fr/hal-00538413

Y. Capdeville, L. Guillot, and J. J. Marigo, 2-D non-periodic homogenization to upscale elastic media for P-SV waves, Geophysical Journal International, vol.182, issue.2, pp.903-922, 2010.
DOI : 10.1111/j.1365-246X.2010.04636.x

URL : https://hal.archives-ouvertes.fr/hal-00490536

Y. Capdeville and J. J. Marigo, Second order homogenization of the elastic wave equation for non-periodic layered media, Geophysical Journal International, vol.170, issue.2, pp.823-838, 2007.
DOI : 10.1111/j.1365-246X.2007.03462.x

URL : https://hal.archives-ouvertes.fr/hal-00310802

Y. Capdeville and J. J. Marigo, Shallow layer correction for Spectral Element like methods, Geophysical Journal International, vol.172, issue.3, pp.1135-1150, 2008.
DOI : 10.1111/j.1365-246X.2007.03703.x

URL : https://hal.archives-ouvertes.fr/insu-01399903

E. Chaljub, D. Komatitsch, Y. Capdeville, J. Vilotte, B. Valette et al., Spectral-element analysis in seismology, Advances in Wave Propagation in Heterogeneous Media, pp.365-419, 2007.
DOI : 10.1016/S0065-2687(06)48007-9

URL : https://hal.archives-ouvertes.fr/insu-00345810

G. Chechkin, A. Friedman, and A. Piatnitski, The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary, Journal of Mathematical Analysis and Applications, vol.231, issue.1, 1996.
DOI : 10.1006/jmaa.1998.6226

URL : https://hal.archives-ouvertes.fr/inria-00073630

M. David, J. Marigo, and C. Pideri, Homogenized Interface Model Describing Inhomogeneities Located on a Surface, Journal of Elasticity, vol.4, issue.1, p.xx?xx, 2012.
DOI : 10.1007/s10659-012-9374-5

URL : https://hal.archives-ouvertes.fr/hal-00655496

H. Dumontet, Homogénéisation et effets de bords dans les materiaux composites, 1990.

V. Eger, O. A. Oleinik, and T. A. Shaposhnikova, Homogenization of boundary value problems in domains with rapidly oscillating nonperiodic boundary, Differential Equations, vol.7, issue.5, pp.833-846, 2000.
DOI : 10.1007/BF02754407

G. Festa, E. Delavaud, and J. Vilotte, Interaction between surface waves and absorbing boundaries for wave propagation in geological basins: 2D numerical simulations, Geophysical Research Letters, vol.13, issue.5, 2005.
DOI : 10.1029/2005GL024091

J. Fish and W. Chen, Space???time multiscale model for wave propagation in heterogeneous media, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.45-47, pp.4837-4856, 2004.
DOI : 10.1016/j.cma.2004.05.006

C. Fletcher, Computational Fluid Dynamics, 1991.

C. Geuzaine and J. Remacle, Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.69, issue.4, pp.1309-1331, 2009.
DOI : 10.1002/nme.2579

P. Grisvard, Elliptic problems in non smooth domains. Number 24 in Monographs and Studies in Mathematics, 1985.

L. Guillot, Y. Capdeville, and J. J. Marigo, 2-D non-periodic homogenization of the elastic wave equation: SH case, Geophysical Journal International, vol.182, issue.3, pp.1438-1454
DOI : 10.1111/j.1365-246X.2010.04688.x

URL : https://hal.archives-ouvertes.fr/hal-00549622

X. Huang and A. A. Maradudin, Propagation of surface acoustic waves across random gratings, Physical Review B, vol.36, issue.15, pp.7827-7839, 1987.
DOI : 10.1103/PhysRevB.36.7827

A. Köhler, C. Weidle, and V. Maupin, On the effect of topography on surface wave propagation in the ambient noise frequency range, Journal of Seismology, vol.146, issue.3, pp.221-231, 2012.
DOI : 10.1007/s10950-011-9264-5

D. Komatitsch, F. Coutel, and P. Mora, Tensorial formulation of the wave equation for modelling curved interfaces, Geophysical Journal International, vol.127, issue.1, pp.156-168, 1996.
DOI : 10.1111/j.1365-246X.1996.tb01541.x

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

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

A. Maradudin, X. Huang, and A. Mayer, Propagation of shear horizontal surface acoustic waves parallel to the grooves of a random grating, Journal of Applied Physics, vol.70, issue.1, pp.53-62, 1991.
DOI : 10.1063/1.350270

J. Marigo and C. Pideri, The Effective Behavior of Elastic Bodies Containing Microcracks or Microholes Localized on a Surface, International Journal of Damage Mechanics, vol.4, issue.8, 2011.
DOI : 10.1016/0013-7944(85)90093-1

URL : https://hal.archives-ouvertes.fr/hal-00549546

A. Mayer, W. Zierau, and A. Maradudin, Surface acoustic waves propagating along the grooves of a periodic grating, Journal of Applied Physics, vol.69, issue.4, pp.1942-1947, 1991.
DOI : 10.1063/1.348969

E. D. Mercerat, J. P. Vilotte, and F. J. Sánchez-sesma, Triangular Spectral Element simulation of two-dimensional elastic wave propagation using unstructured triangular grids, Geophysical Journal International, vol.166, issue.2, pp.679-698, 2006.
DOI : 10.1111/j.1365-246X.2006.03006.x

J. Nevard and J. B. Keller, Homogenization of Rough Boundaries and Interfaces, SIAM Journal on Applied Mathematics, vol.57, issue.6, pp.1660-1686, 1997.
DOI : 10.1137/S0036139995291088

R. Pasquetti and F. Rapetti, Spectral element methods on triangles and quadrilaterals: comparisons and applications, Journal of Computational Physics, vol.198, issue.1, pp.349-362, 2004.
DOI : 10.1016/j.jcp.2004.01.010

H. Rathod, B. Ventkatesudu, K. V. Ramesh, and N. L. , Gauss legendre quadrature over a triangle, J. Indian Inst. Sci, vol.84, pp.183-188, 2004.

E. Sanchez-palencia, Elastic body with defects distributed near a surface, Homogenization Techniques for Composite Media, 1986.
DOI : 10.1007/3-540-17616-0_14