F. Alabau and V. Komornik, Boundary observability, controllability, and stabilization of linear elastodynamic systems, SIAM J. Control. Optim, vol.37, pp.521-542, 1998.

I. Babu?ka, The finite element method for elliptic equations with discontinuous coefficients, Computing, vol.5, pp.207-213, 1970.

H. Barucq, L. Boillot, H. Calandra, and J. Diaz, Absorbing boundary condition for 2d tilted transverse isotropic elastic media, ESAIM: Proceedings and Surveys, vol.45, pp.400-409, 2014.
DOI : 10.1051/proc/201445041

E. Bécache, A. B. Dhia, and G. Legendre, Perfectly matched layers for the convected Helmholtz equation, SIAM J. Numer. Anal, vol.42, pp.409-433, 2004.

C. Bernardi, Optimal finite-element interpolation on curved domains, SIAM J. Numer. Anal, vol.26, pp.1212-1240, 1989.
DOI : 10.1137/0726068

L. Boillot, H. Barucq, J. Diaz, and H. Calandra, Absorbing boundary conditions for 3d elastic TTI modeling, SEG New Orleans Meeting, pp.535-540, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01223344

D. Brown and D. Gallistl, Multiscale sub-grid correction method for time-harmonic high-frequency elastodynamics with wavenumber explicit bounds, 2016.

G. Chavent, G. Papanicolaou, P. Sacks, and W. Symes, Inverse Problems in Wave Propagation, 2012.

P. G. Ciarlet, On Korn's inequality, Chin. Ann. Math. Ser. B, vol.31, pp.607-618, 2010.

R. Clayton and B. Engquist, Absorbing boundary conditions for acoustic and elastic wave equations, Bulletin of the Seismological Society of America, vol.67, pp.1529-1540, 1977.

D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 2012.
DOI : 10.1007/978-1-4614-4942-3
URL : http://cds.cern.ch/record/1499488/files/9781461449416_TOC.pdf

M. Costabel, M. Dauge, and S. Nicaise, Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains. Corner Singularities and Analytic Regularity for Linear Elliptic Systems, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00453934

P. Cummings and X. Feng, Sharp regularity coefficient estiamtes for complex-valued acoustic and elastic Helmholtz equations, Math. Mod. Meth. Appl. Sci, vol.16, pp.139-160, 2006.

M. Darbas, C. Geuzaine, and V. Mattesi, High-order absorbing boundary conditions for 2d elastic scattering problems. in preparation, 2017.

M. Dauge, Elliptic boundary value problems on corner domains-smoothness and asymptotics of solutions, Lecture Notes in Mathematics, vol.1341, 1988.
DOI : 10.1007/bfb0086682

M. Dauge, S. Nicaise, M. Bourlard, J. M. Lubuma, and .. , Coefficients des singularités pour desprobì emes aux limites elliptiques sur un domainè a points coniques. I. Résultats généraux pour leprobì eme de Dirichlet, RAIRO Modél. Math. Anal. Numér, vol.24, pp.27-52, 1990.
DOI : 10.1051/m2an/1990240303431
URL : https://www.esaim-m2an.org/articles/m2an/pdf/1990/03/m2an1990240303431.pdf

G. Duvaut and J. Lions, Les inéquations en mécanique et en physique. Dunod, Paris, pp. xx+387. Travaux et Recherches Mathématiques, 1972.

S. Esterhazy and J. Melenk, On stability of discretizations of the Helmholtz equation, Lecture Notes in Computational Science and Engineering, pp.285-324, 2012.

I. Graham, O. Pembery, and E. Spence, The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances, 2018.
DOI : 10.1016/j.jde.2018.08.048
URL : http://arxiv.org/pdf/1801.08095

P. Grisvard, Elliptic problems in nonsmooth domains, Monographs and Studies in Mathematics, vol.24, 1985.
DOI : 10.1137/1.9781611972030

P. Grisvard, Mode d'emploi. (Boundary value problems in plane polygons. Instructions for use), Bull. Dir. Etud. Rech., Sér. C, vol.1, pp.21-59, 1986.

U. Hetmaniuk, Stability estimates for a class of Helmholtz problems, Commun. Math. Sci, vol.5, pp.665-678, 2007.
DOI : 10.4310/cms.2007.v5.n3.a8
URL : http://www.intlpress.com/site/pub/files/_fulltext/journals/cms/2007/0005/0003/CMS-2007-0005-0003-a008.pdf

F. L. Huang, Characteristic conditions for exponential stability of linear dynamical systems in Hilbert spaces, Ann. Differential Equations, vol.1, pp.43-56, 1985.

F. Ihlenburg and I. Babu?ka, Finite element solution of the Helmholtz equation with high wave number part i: the h-version of the fem, Computers Math. Applic, vol.30, pp.9-37, 1995.

F. Ihlenburg and I. Babu?ka, Finite element solution of the Helmholtz equation with high wave number part ii: the h-p version of the fem, SIAM J. Numer. Anal, vol.34, pp.315-358, 1997.

V. A. Kondrat'ev, Boundary value problems for elliptic equations on domains with conical or angular points, Trudy Moskov. Mat. Obshch, vol.16, pp.209-292, 1967.

V. A. Kozlov, V. G. Maz'ya, and J. Rossmann, Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations, Mathematical Surveys and Monographs, vol.85, 2001.
DOI : 10.1090/surv/085

J. Lagnese, Boundary stabilization of linear elastodynamic systems, SIAM J. Control Optim, vol.21, pp.968-984, 1983.
DOI : 10.1137/0321059

J. Lions and E. Magenes, Probì emes aux limites non homogènes et applications, Travaux et Recherches Mathématiques, vol.1, issue.17, p.372, 1968.

J. M. Lubuma and S. Nicaise, Dirichlet problems in polyhedral domains II: approximation by FEM and BEM, J. Comp. Appl. Math, vol.61, pp.13-27, 1995.
DOI : 10.1016/0377-0427(94)00050-b
URL : https://doi.org/10.1016/0377-0427(94)00050-b

J. Lysmer and R. Kuhlemeyer, Finite dynamic model for infinite media, J. Eng. Mech. Div, p.859877, 1969.

V. Maz'ya and J. Rossmann, Elliptic equations in polyhedral domains, Mathematical Surveys and Monographs, vol.162, p.608, 2010.

J. M. Melenk and S. Sauter, Wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions, 2018.

J. Melenk and S. Sauter, Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions, Mathematics of Computation, vol.79, pp.1871-1914, 2010.

J. Melenk and S. Sauter, Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation, SIAM J. Numer. Anal, vol.49, pp.1210-1243, 2011.

J. Ne?as, Les méthodes directes en théorie deséquationsdeséquations elliptiques, 1967.

S. Nicaise, Polygonal Interface Problems, Methoden und Verfahren der mathematischen Physik, vol.39, 1993.

S. Nicaise, Stability and controllability of an abstract evolution equation of hyperbolic type and concrete applications, Rendiconti di Matematica Serie VII, vol.23, pp.83-116, 2003.

S. Nicaise and A. Sändig, General interface problems I, Math. Methods in the Appl. Sc, vol.17, pp.395-429, 1994.

S. Nicaise and A. Sändig, General interface problems II, Math. Methods in the Appl. Sc, vol.17, pp.431-450, 1994.

J. Prüss, On the spectrum of C 0-semigroups, Trans. Amer. Math. Soc, vol.284, pp.847-857, 1984.

A. Schatz, An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Mathematics of Computation, vol.28, pp.959-962, 1974.

J. Shewchuk, Triangle: engineering a 2D quality mesh generator and Delaunay triangulator. Applied computational geometry towards geometric engineering, pp.203-222, 1996.