]. T. Apel, S. Nicaise, and J. Pfefferer, A dual singular complement method for the numerical solution of the poisson equation with l ?2 boundary data in non-convex domains. arXiv preprint, 2015.

T. Apel, S. Nicaise, and J. Pfefferer, Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains, Numerical Methods for Partial Differential Equations, vol.268, issue.5, pp.1433-1454, 2016.
DOI : 10.1051/m2an:1999140

E. Bécache, S. Fauqueux, and P. Joly, Stability of perfectly matched layers, group velocities and anisotropic waves, Journal of Computational Physics, vol.188, issue.2, pp.399-433, 2003.
DOI : 10.1016/S0021-9991(03)00184-0

C. Boller and N. Meyendorf, State-of-the-art in structural health monitoring for aeronautics, Proceedings of the International Symposium on NDT in Aerospace, 2008.

M. Bonnet, A modified volume integral equation for anisotropic elastic or conducting inhomogeneities: Unconditional solvability by Neumann series, Journal of Integral Equations and Applications, vol.29, issue.2, pp.271-295, 2017.
DOI : 10.1216/JIE-2017-29-2-271

URL : https://hal.archives-ouvertes.fr/hal-01417944

A. Bonnet-ben-dhia, C. Chambeyron, and G. Legendre, On the use of perfectly matched layers in the presence of long or backward propagating guided elastic waves, Wave Motion, vol.51, issue.2, pp.266-283, 2014.
DOI : 10.1016/j.wavemoti.2013.08.001

URL : https://hal.archives-ouvertes.fr/hal-00816895

A. Bonnet-ben-dhia, S. Fliss, C. Hazard, and A. Tonnoir, A Rellich type theorem for the Helmholtz equation in a conical domain, Comptes Rendus Mathematique, vol.354, issue.1, pp.27-32, 2016.
DOI : 10.1016/j.crma.2015.10.015

URL : https://hal.archives-ouvertes.fr/hal-01160242

A. Bonnet-ben-dhia, B. Goursaud, and C. Hazard, Mathematical analysis of the junction of two acoustic open waveguides, SIAM Journal on Applied Mathematics, issue.6, pp.712048-2071, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00849568

A. Bonnet-ben, A. Dhia, and . Tillequin, A GENERALIZED MODE MATCHING METHOD FOR SCATTERING PROBLEMS WITH UNBOUNDED OBSTACLES, Journal of Computational Acoustics, vol.09, issue.04, pp.1611-1631, 2001.
DOI : 10.1137/0725044

URL : https://hal.archives-ouvertes.fr/hal-01008838

A. Bonnet-ben, A. Dhia, and . Tillequin, A limiting absorption principle for scattering problems with unbounded obstacles, Mathematical methods in the applied sciences, pp.1089-1111, 2001.
URL : https://hal.archives-ouvertes.fr/hal-01008796

M. Dryja and O. B. Widlund, Domain Decomposition Algorithms with Small Overlap, SIAM Journal on Scientific Computing, vol.15, issue.3, pp.604-620, 1994.
DOI : 10.1137/0915040

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.2105

]. S. Fliss, ´ Etude mathématique et numérique de la propagation des ondes dans des milieux périodiques localement perturbés, 2009.

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.
DOI : 10.1016/j.apnum.2008.12.013

URL : https://hal.archives-ouvertes.fr/hal-00873067

M. J. Gander and K. Santugini, Cross-points in domain decomposition methods with a finite element discretization, Electronic Transactions on Numerical Analysis, vol.45, pp.219-240, 2016.
URL : https://hal.archives-ouvertes.fr/hal-00980386

D. Givoli, Numerical Methods for Problems in Infinite Domains, 1992.

D. Givoli and J. B. Keller, Non-reflecting boundary conditions for elastic waves, Wave Motion, vol.12, issue.3, pp.261-279, 1990.
DOI : 10.1016/0165-2125(90)90043-4

P. Grisvard, Elliptic problems in nonsmooth domains, SIAM, vol.69, 2011.
DOI : 10.1137/1.9781611972030

M. Halla, T. Hohage, L. Nannen, and J. Schöberl, Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs, Numerische Mathematik, vol.44, issue.7???8, pp.103-139, 2016.
DOI : 10.1016/j.wavemoti.2007.03.001

M. Halla and L. Nannen, Hardy space infinite elements for time-harmonic two-dimensional elastic waveguide problems, Wave Motion, vol.59, pp.94-110, 2015.
DOI : 10.1016/j.wavemoti.2015.08.002

URL : http://arxiv.org/abs/1506.04781

V. A. Kozlov, V. G. Mazia, and J. Rossmann, Elliptic boundary value problems in domains with point singularities, 1997.
DOI : 10.1090/surv/052

J. Lions and E. Magenes, Probì emes aux limites non homogènes et applications, Travaux et Recherches Mathématiques, vol.1, issue.17, 1968.

P. Lions, On the schwarz alternating method. i. In First international symposium on domain decomposition methods for partial differential equations, pp.1-42, 1988.

E. A. Skelton, S. D. Adams, and R. V. Craster, Guided elastic waves and perfectly matched layers, Wave Motion, vol.44, issue.7-8, pp.573-592, 2007.
DOI : 10.1016/j.wavemoti.2007.03.001

A. Tonnoir, Conditions transparentes pour la diffraction d'ondes en milieu lastique anisotrope, Thse de l'Ecole Polytechnique, 2015.

A. Toselli and O. B. Widlund, Domain decomposition methods: algorithms and theory, 2005.
DOI : 10.1007/b137868

C. Wang and J. D. Achenbach, Three-Dimensional Time-Harmonic Elastodynamic Green's Functions for Anisotropic Solids, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, pp.441-458, 1995.
DOI : 10.1098/rspa.1995.0052