S. Acosta, High-order surface radiation conditions for time-harmonic waves in exterior domains, Computer Methods in Applied Mechanics and Engineering, vol.322, pp.296-310, 2017.

X. Antoine, Conditions de Radiation sur le Bord, 1997.

X. Antoine, Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method, IMA Journal of Applied Mathematics, vol.66, issue.1, pp.83-110, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00347869

X. Antoine, An algorithm coupling the OSRC and FEM for the computation of an approximate scattered acoustic field by a non-convex body, International Journal for Numerical Methods in Engineering, vol.54, issue.7, pp.1021-1041, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00347876

X. Antoine, H. Barucq, and A. Bendali, Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape, Journal of Mathematical Analysis and Applications, vol.229, issue.1, pp.184-211, 1999.

X. Antoine, A. Bendali, and M. Darbas, Analytic preconditioners for the boundary integral solution of the scattering of acoustic waves by open surfaces, Journal of Computational Acoustics, vol.13, issue.03, pp.477-498, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00091670

X. Antoine and M. Darbas, Integral Equations and Iterative Schemes for Acoustic Scattering Problems, Numerical Methods for Acoustics Problems. Saxe-Coburg Editors, 2016.
URL : https://hal.archives-ouvertes.fr/hal-00591456

X. Antoine, M. Darbas, and Y. Y. Lu, An improved surface radiation condition for high-frequency acoustic scattering problems, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.33, pp.4060-4074, 2006.

X. Antoine and C. Geuzaine, Optimized Schwarz domain decomposition methods for scalar and vector Helmholtz equations, Modern Solvers for Helmholtz Problems, pp.189-213, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01276808

A. V. Astaneh and M. N. Guddati, A two-level domain decomposition method with accurate interface conditions for the Helmholtz problem, International Journal for Numerical Methods in Engineering, vol.107, issue.1, pp.74-90, 2016.

S. Asvadurov, V. Druskin, M. N. Guddati, and L. Knizhnerman, On optimal finite-difference approximation of PML, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.287-305, 2003.

A. Bamberger, B. Engquist, L. Halpern, and P. Joly, Higher order paraxial wave equation approximations in heterogeneous media, SIAM Journal on Applied Mathematics, vol.48, issue.1, pp.129-154, 1988.
URL : https://hal.archives-ouvertes.fr/inria-00075996

A. Bamberger, P. Joly, and J. E. Roberts, Second-order absorbing boundary conditions for the wave equation: a solution for the corner problem, SIAM Journal on Numerical Analysis, vol.27, issue.2, pp.323-352, 1990.
URL : https://hal.archives-ouvertes.fr/inria-00075909

H. Barucq, A. Bendali, M. Fares, V. Mattesi, and S. Tordeux, A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation, Journal of Computational Physics, vol.330, pp.1069-1092, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01395861

H. Barucq, R. Djellouli, and A. Saint-guirons, Three-dimensional approximate local DtN boundary conditions for prolate spheroid boundaries, Journal of Computational and Applied Mathematics, vol.234, issue.6, pp.1810-1816, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00338506

H. Bériot, A. Prinn, and G. Gabard, Efficient implementation of high-order finite elements for Helmholtz problems, International Journal for Numerical Methods in Engineering, vol.106, issue.3, pp.213-240, 2016.

A. Bermúdez, L. Hervella-nieto, A. Prieto, and R. Rodr?, An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems, Journal of Computational Physics, vol.223, issue.2, pp.469-488, 2007.

Y. Boubendir, X. Antoine, and C. Geuzaine, A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation, Journal of Computational Physics, vol.231, issue.2, pp.262-280, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01094828

M. Cenanovic, P. Hansbo, and M. G. Larson, Finite element procedures for computing normals and mean curvature on triangulated surfaces and their use for mesh refinement, 2017.

S. Chaillat, M. Darbas, and F. L. Louër, Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves, Computer Methods in Applied Mechanics and Engineering, vol.297, pp.62-83, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01187242

S. Chaillat, M. Darbas, and F. L. Louër, Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics, Journal of Computational Physics, vol.341, pp.429-446, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01523020

S. N. Chandler-wilde, D. P. Hewett, S. Langdon, and A. Twigger, A high frequency boundary element method for scattering by a class of nonconvex obstacles, Numerische Mathematik, vol.129, issue.4, pp.647-689, 2015.

F. Collino, Conditions absorbantes d'ordreélevé pour des modèles de propagation d'onde dans des domaines rectangulaires, INRIA, 1992.

F. Collino, Conditions absorbantes d'ordreélevé pour leséquations de maxwell dans des domaines rectangulaires, INRIA, 1993.

F. Collino, High order absorbing boundary conditions for wave propagation models. Straight line boundary and corner cases, Second International Conference on Mathematical and Numerical Aspects of Wave Propagation, pp.161-171, 1993.

M. Darbas, E. Darrigrand, and Y. Lafranche, Combining analytic preconditioner and fast multipole method for the 3-D Helmholtz equation, Journal of Computational Physics, vol.236, pp.289-316, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00749822

E. Demaldent and S. Imperiale, Perfectly matched transmission problem with absorbing layers: Application to anisotropic acoustics in convex polygonal domains, International Journal for Numerical Methods in Engineering, vol.96, issue.11, pp.689-711, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00875814

V. Druskin, S. Güttel, and L. Knizhnerman, Near-optimal perfectly matched layers for indefinite Helmholtz problems, SIAM Review, vol.58, issue.1, pp.90-116, 2016.

P. Dular, C. Geuzaine, F. Henrotte, and W. Legros, A general environment for the treatment of discrete problems and its application to the finite element method, IEEE Transactions on Magnetics, vol.34, issue.5, pp.3395-3398, 1998.

M. E. Bouajaji, X. Antoine, and C. Geuzaine, Approximate local Magnetic-to-Electric surface operators for time-harmonic Maxwell's equations, Journal of Computational Physics, vol.279, pp.241-260, 2014.

B. Engquist and A. Majda, Absorbing boundary conditions for numerical simulation of waves, Proceedings of the National Academy of Sciences, vol.74, issue.5, pp.1765-1766, 1977.

B. Engquist and A. Majda, Radiation boundary conditions for acoustic and elastic wave calculations, Communications on pure and applied mathematics, vol.32, issue.3, pp.313-357, 1979.

T. Frankel, The Geometry of Physics: An Introduction, 2011.

M. J. Gander and H. Zhang, A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single-layer potentials, polarized traces, and optimized Schwarz methods, SIAM Review, 2018.

C. Geuzaine and J. Remacle, Gmsh: A 3-D finite element mesh generator with built-in pre-and postprocessing facilities, International Journal for Numerical Methods in Engineering, vol.79, issue.11, pp.1309-1331, 2009.

D. Givoli, T. Hagstrom, and I. Patlashenko, Finite element formulation with high-order absorbing boundary conditions for time-dependent waves, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.29, pp.3666-3690, 2006.

D. Givoli and B. Neta, High-order non-reflecting boundary scheme for time-dependent waves, Journal of Computational Physics, vol.186, issue.1, pp.24-46, 2003.

Z. Guan-quan, High-order approximation of one-way wave equations, Journal of Computational Mathematics, vol.3, pp.90-97, 1985.

M. N. Guddati and K. Lim, Continued-fraction absorbing boundary conditions for convex polygonal domains, International Journal for Numerical Methods in Engineering, vol.66, issue.6, pp.949-977, 2006.

M. N. Guddati and J. L. Tassoulas, Continued-fraction absorbing boundary conditions for the wave equation, Journal of Computational Acoustics, vol.8, issue.01, pp.139-156, 2000.

T. Hagstrom and S. Kim, Complete radiation boundary conditions for the Helmholtz equation I: waveguides, Numerische Mathematik, pp.1-50, 2019.

T. Hagstrom, A. Mar-or, and D. Givoli, High-order local absorbing conditions for the wave equation: Extensions and improvements, Journal of Computational Physics, vol.227, issue.6, pp.3322-3357, 2008.

T. Hagstrom and T. Warburton, A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems, Wave Motion, vol.39, issue.4, pp.327-338, 2004.

T. Hagstrom and T. Warburton, Complete radiation boundary conditions: minimizing the long time error growth of local methods, SIAM Journal on Numerical Analysis, vol.47, issue.5, pp.3678-3704, 2009.

T. Hagstrom, T. Warburton, and D. Givoli, Radiation boundary conditions for time-dependent waves based on complete plane wave expansions, Journal of Computational and Applied Mathematics, vol.234, issue.6, 1988.

L. Halpern and L. N. Trefethen, Wide-angle one-way wave equations, The Journal of the Acoustical Society of America, vol.84, issue.4, pp.1397-1404, 1988.

I. Harari and R. Djellouli, Analytical study of the effect of wave number on the performance of local absorbing boundary conditions for acoustic scattering, Applied Numerical Mathematics, vol.50, issue.1, pp.15-47, 2004.

I. Harari, M. Slavutin, and E. Turkel, Analytical and numerical studies of a finite element PML for the Helmholtz equation, Journal of Computational Acoustics, vol.8, issue.01, pp.121-137, 2000.

R. L. Higdon, Absorbing boundary conditions for difference approximations to the multidimensional wave equation, Mathematics of computation, vol.47, issue.176, pp.437-459, 1986.

T. Huttunen, J. P. Kaipio, and P. Monk, The perfectly matched layer for the ultra-weak variational formulation of the 3D Helmholtz equation, International Journal for Numerical Methods in Engineering, vol.61, issue.7, pp.1072-1092, 2004.

P. Joly, S. Lohrengel, and O. Vacus, Un résultat d'existence et d'unicité pour l'équation de Helmholtz avec conditions aux limites absorbantes d'ordre 2. Comptes Rendus de l'Académie des, Sciences-Series I-Mathematics, vol.329, issue.3, pp.193-198, 1999.

D. Justo, T. Warburton, and T. Hagstrom, Solving scattering problems for Maxwell's equations using polygonal artificial boundaries, 7th International Conference on Mathematical and Numerical Aspects of Wave Propagation, pp.71-73, 2005.

R. Kechroud, X. Antoine, and A. Soulaimani, Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency, International Journal for Numerical Methods in Engineering, vol.64, issue.10, pp.1275-1302, 2005.

J. B. Keller and D. Givoli, Exact non-reflecting boundary conditions, Journal of Computational Physics, vol.82, issue.1, pp.172-192, 1989.

T. Khajah, X. Antoine, and S. P. Bordas, B-Spline FEM for time-harmonic acoustic scattering and propagation, Journal of Theoretical and Computational Acoustics, vol.26, issue.4, p.1850059, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01377485

J. Lagrone and T. Hagstrom, Double absorbing boundaries for finite-difference time-domain electromagnetics, Journal of Computational Physics, vol.326, pp.650-665, 2016.

A. Lieu, G. Gabard, and H. Bériot, A comparison of high-order polynomial and wave-based methods for Helmholtz problems, Journal of Computational Physics, vol.321, pp.105-125, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01877658

E. L. Lindman, Free-space" boundary conditions for the time-dependent wave equation, Journal of Computational Physics, vol.18, issue.1, pp.66-78, 1975.

Y. Y. Lu, A complex coefficient rational approximation of ? 1 + x, Applied numerical mathematics, vol.27, issue.2, pp.141-154, 1998.

E. Magid, O. Soldea, and E. Rivlin, A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data, Computer Vision and Image Understanding, vol.107, issue.3, pp.139-159, 2007.

V. Mattesi, M. Darbas, and C. Geuzaine, A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems, Computers & Mathematics with Applications, 2018.

M. Medvinsky, S. Tsynkov, and E. Turkel, Direct implementation of high order BGT artificial boundary conditions, Journal of Computational Physics, vol.376, pp.98-128, 2019.

F. A. Milinazzo, C. A. Zala, and G. H. Brooke, Rational square-root approximations for parabolic equation algorithms, The Journal of the Acoustical Society of America, vol.101, issue.2, pp.760-766, 1997.

A. Modave, X. Antoine, and C. Geuzaine, An efficient domain decomposition method with cross-point treatment for Helmholtz problems, 39th Ibero-Latin American Congress on Computational Methods in Engineering, pp.63-66, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01900309

A. Modave, A. Atle, J. Chan, and T. Warburton, A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility, International Journal for Numerical Methods in Engineering, vol.112, issue.11, pp.1659-1686, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01383074

A. Modave, E. Delhez, and C. Geuzaine, Optimizing perfectly matched layers in discrete contexts, International Journal for Numerical Methods in Engineering, vol.99, issue.6, pp.410-437, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01386393

O. Ozgun and M. Kuzuoglu, Near-field performance analysis of locally-conformal perfectly matched absorbers via Monte-Carlo simulations, Journal of Computational Physics, vol.227, issue.2, pp.1225-1245, 2007.

S. Petrides and L. F. Demkowicz, An adaptive DPG method for high frequency time-harmonic wave propagation problems, Computers & Mathematics with Applications, vol.74, issue.8, pp.1999-2017, 2017.

S. Savadatti and M. N. Guddati, A finite element alternative to infinite elements, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.2204-2223, 2010.

K. Schmidt, J. Diaz, and C. Heier, Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order, Computers & Mathematics with Applications, vol.70, issue.9, pp.2252-2269, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01184251

K. C. Stein, Complete radiation boundary conditions: Corner and edge closure conditions, 2012.

R. Tezaur, A. Macedo, C. Farhat, and R. Djellouli, Three-dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries, International Journal for Numerical Methods in Engineering, vol.53, issue.6, pp.1461-1476, 2002.

E. Turkel, Boundary conditions and iterative schemes for the Helmholtz equation in unbounded regions, Computational Methods for Acoustics Problems, pp.127-158, 2008.

E. Turkel and A. Yefet, Absorbing PML boundary layers for wave-like equations, Applied Numerical Mathematics, vol.27, issue.4, pp.533-557, 1998.

O. Vacus, Mathematical analysis of absorbing boundary conditions for the wave equation: the corner problem, Mathematics of Computation, vol.74, issue.249, pp.177-200, 2005.

V. J. Van-joolen, B. Neta, and D. Givoli, High-order Higdon-like boundary conditions for exterior transient wave problems, International Journal for Numerical Methods in Engineering, vol.63, issue.7, pp.1041-1068, 2005.

L. Zepeda-núñez and L. Demanet, Nested domain decomposition with polarized traces for the 2D Helmholtz equation, SIAM Journal on Scientific Computing, vol.40, issue.3, pp.942-981, 2018.