T. Apel, S. Nicaise, and J. Pfefferer, Discretization of the Poisson equation with nonsmooth data and emphasis on non convex domains, arXiv, 2015.

R. A. Adams and J. J. Fournier, Sobolev Spaces, 2003.

D. E. Amos, A Subroutine Package for Bessel Functions of a Complex Argument and Nonnegative Order, pp.85-1018, 1985.

K. E. Atkinson, The Numerical Solution of Integral Equations of The Second Kind, 1997.

E. Bécache, S. Fauqueux, and J. P. , Stability of perfectly matched layers, group velocities and anisotropic waves, Journal of Computational Physics, vol.188, issue.2, pp.399-433, 2003.

C. Besse, J. Coatléven, S. Fliss, I. Lacroix-violet, and R. K. , Transparent boundary conditions for locally perturbed infinite hexagonal periodic media, Communications in Mathematical Sciences, vol.11, issue.4, pp.907-938, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00698916

A. Bonnet-ben-dhia, C. Chambeyron, and L. G. , On the use of perfectly matched layers in the presence of long or backward guided elastic waves, Wave Motion, vol.51, issue.2, pp.266-283, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00816895

A. Bonnet-ben-dhia, S. Fliss, and T. A. , The halfspace matching method: a new method to solve scattering problem in infinite media, JCAM, vol.338, pp.44-68, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01561339

G. A. Chandler, Galerkin's method for boundary integral equations on polygonal domains, Journal of The Australian Mathematical Society, Series B, vol.26, pp.1-13, 1984.

S. N. Chandler-wilde and D. C. Hothersall, Efficient calculation of the green function for acoustic propagation above a homogeneous impedance plane, Journal of Sound and Vibration, vol.180, issue.5, pp.705-724, 1995.

S. N. Chandler-wilde, S. Langdon, and M. M. , A high frequency boundary element method for scattering by convex polygons with impedance boundary conditions, Communications in Computational Physics, vol.11, issue.2, pp.573-593, 2012.

M. Dauge, Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions, 2006.

S. Fliss and P. Joly, Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media, Applied Numerical Mathematics, vol.59, issue.9, pp.2155-2178, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00873067

P. Grisvard, Singularities in boundary value problems, 1992.

P. Grisvard, Elliptic problems in nonsmooth domains, Society for Industrial and Applied Mathematics, vol.69, 2011.

N. Kielbasiewicz and E. Lunéville, User documentation of XLiFE++, POEMS, ENSTA, 2016.

V. A. Kozlov, V. G. Mazia, and R. J. , Elliptic boundary value problems in domains with point singularities, American Mathematical Soc, vol.52, 1997.

M. Lenoir and A. Tounsi, The localized finite element method and its application to the two-dimensional sea-keeping problem, SIAM J. NUMER. ANAL. vol, vol.25, issue.4, 1988.
URL : https://hal.archives-ouvertes.fr/hal-00974512

M. Reed and B. Simon, I: Functional Analysis, vol.1, 1980.

A. Tonnoir, Transparent conditions for the diffraction of elastic waves in anisotropic media, Ecole Polytechnique, 2015.

A. Velichko and P. D. Wilcox, Modeling the excitation of guided waves in generally anisotropic multilayered media, The Journal of the Acoustical Society of America, vol.121, issue.1, pp.60-69, 2007.