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. ,
Conditions de Radiation sur le Bord, 1997. ,
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
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
Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape, Journal of Mathematical Analysis and Applications, vol.229, issue.1, pp.184-211, 1999. ,
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
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
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. ,
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 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. ,
On optimal finite-difference approximation of PML, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.287-305, 2003. ,
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
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
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
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
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. ,
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. ,
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
Finite element procedures for computing normals and mean curvature on triangulated surfaces and their use for mesh refinement, 2017. ,
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
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
A high frequency boundary element method for scattering by a class of nonconvex obstacles, Numerische Mathematik, vol.129, issue.4, pp.647-689, 2015. ,
Conditions absorbantes d'ordreélevé pour des modèles de propagation d'onde dans des domaines rectangulaires, INRIA, 1992. ,
Conditions absorbantes d'ordreélevé pour leséquations de maxwell dans des domaines rectangulaires, INRIA, 1993. ,
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. ,
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
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
Near-optimal perfectly matched layers for indefinite Helmholtz problems, SIAM Review, vol.58, issue.1, pp.90-116, 2016. ,
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. ,
Approximate local Magnetic-to-Electric surface operators for time-harmonic Maxwell's equations, Journal of Computational Physics, vol.279, pp.241-260, 2014. ,
Absorbing boundary conditions for numerical simulation of waves, Proceedings of the National Academy of Sciences, vol.74, issue.5, pp.1765-1766, 1977. ,
Radiation boundary conditions for acoustic and elastic wave calculations, Communications on pure and applied mathematics, vol.32, issue.3, pp.313-357, 1979. ,
The Geometry of Physics: An Introduction, 2011. ,
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. ,
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. ,
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. ,
High-order non-reflecting boundary scheme for time-dependent waves, Journal of Computational Physics, vol.186, issue.1, pp.24-46, 2003. ,
High-order approximation of one-way wave equations, Journal of Computational Mathematics, vol.3, pp.90-97, 1985. ,
Continued-fraction absorbing boundary conditions for convex polygonal domains, International Journal for Numerical Methods in Engineering, vol.66, issue.6, pp.949-977, 2006. ,
Continued-fraction absorbing boundary conditions for the wave equation, Journal of Computational Acoustics, vol.8, issue.01, pp.139-156, 2000. ,
Complete radiation boundary conditions for the Helmholtz equation I: waveguides, Numerische Mathematik, pp.1-50, 2019. ,
High-order local absorbing conditions for the wave equation: Extensions and improvements, Journal of Computational Physics, vol.227, issue.6, pp.3322-3357, 2008. ,
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. ,
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. ,
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions, Journal of Computational and Applied Mathematics, vol.234, issue.6, 1988. ,
Wide-angle one-way wave equations, The Journal of the Acoustical Society of America, vol.84, issue.4, pp.1397-1404, 1988. ,
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. ,
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. ,
Absorbing boundary conditions for difference approximations to the multidimensional wave equation, Mathematics of computation, vol.47, issue.176, pp.437-459, 1986. ,
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. ,
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. ,
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. ,
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. ,
Exact non-reflecting boundary conditions, Journal of Computational Physics, vol.82, issue.1, pp.172-192, 1989. ,
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
Double absorbing boundaries for finite-difference time-domain electromagnetics, Journal of Computational Physics, vol.326, pp.650-665, 2016. ,
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
Free-space" boundary conditions for the time-dependent wave equation, Journal of Computational Physics, vol.18, issue.1, pp.66-78, 1975. ,
A complex coefficient rational approximation of ? 1 + x, Applied numerical mathematics, vol.27, issue.2, pp.141-154, 1998. ,
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. ,
A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems, Computers & Mathematics with Applications, 2018. ,
Direct implementation of high order BGT artificial boundary conditions, Journal of Computational Physics, vol.376, pp.98-128, 2019. ,
Rational square-root approximations for parabolic equation algorithms, The Journal of the Acoustical Society of America, vol.101, issue.2, pp.760-766, 1997. ,
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 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
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
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. ,
An adaptive DPG method for high frequency time-harmonic wave propagation problems, Computers & Mathematics with Applications, vol.74, issue.8, pp.1999-2017, 2017. ,
A finite element alternative to infinite elements, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.2204-2223, 2010. ,
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
Complete radiation boundary conditions: Corner and edge closure conditions, 2012. ,
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. ,
Boundary conditions and iterative schemes for the Helmholtz equation in unbounded regions, Computational Methods for Acoustics Problems, pp.127-158, 2008. ,
Absorbing PML boundary layers for wave-like equations, Applied Numerical Mathematics, vol.27, issue.4, pp.533-557, 1998. ,
Mathematical analysis of absorbing boundary conditions for the wave equation: the corner problem, Mathematics of Computation, vol.74, issue.249, pp.177-200, 2005. ,
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. ,
Nested domain decomposition with polarized traces for the 2D Helmholtz equation, SIAM Journal on Scientific Computing, vol.40, issue.3, pp.942-981, 2018. ,