A Mathematical Analysis of the PML Method, Journal of Computational Physics, vol.134, issue.2, pp.357-363, 1997. ,
DOI : 10.1006/jcph.1997.5717
Well-posed Perfectly Matched Layers for Advective Acoustics, Journal of Computational Physics, vol.154, issue.2, pp.266-283, 1999. ,
DOI : 10.1006/jcph.1999.6313
Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics, J. Sci. Comput, vol.17, pp.1-4405, 2002. ,
Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well???posedness, and Stability, SIAM Journal on Applied Mathematics, vol.67, issue.1, pp.1-23, 2007. ,
DOI : 10.1137/050639107
Evaluation of a Well-posed Perfectly Matched Layer for Computational Acoustics, Hyperbolic problems: Theory, Numerics, Applications, pp.285-294, 2003. ,
DOI : 10.1007/978-3-642-55711-8_25
A new absorbing layer for elastic waves, Journal of Computational Physics, vol.215, issue.2, pp.642-660, 2006. ,
DOI : 10.1016/j.jcp.2005.11.006
Perfectly matched layers for transient elastodynamics of unbounded domains, International Journal for Numerical Methods in Engineering, vol.59, issue.8, pp.1039-1074, 2004. ,
DOI : 10.1002/nme.896
Méthodes variationnelles, domaines fictifs et conditions aux limites artificielles pour des probì emes hyperboliques linéaires, Applications aux ondes dans les solides. HabilitationàHabilitation`Habilitationà Diriger des Recherches, 2003. ,
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
On the analysis of B??renger's Perfectly Matched Layers for Maxwell's equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.36, issue.1, pp.87-119, 2002. ,
DOI : 10.1051/m2an:2002004
On the Long-Time Behavior of Unsplit Perfectly Matched Layers, IEEE Transactions on Antennas and Propagation, vol.52, issue.5, pp.1335-1342, 2004. ,
DOI : 10.1109/TAP.2004.827253
A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.185-200, 1994. ,
DOI : 10.1006/jcph.1994.1159
A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates. Microwave Opt, Technol. Lett, vol.7, issue.13, pp.599-604, 1994. ,
MIXED FINITE ELEMENTS WITH MASS-LUMPING FOR THE TRANSIENT WAVE EQUATION, Journal of Computational Acoustics, vol.08, issue.01, pp.171-188, 2000. ,
DOI : 10.1142/S0218396X0000011X
The Perfectly Matched Layer in Curvilinear Coordinates, SIAM Journal on Scientific Computing, vol.19, issue.6, pp.2061-2090, 1998. ,
DOI : 10.1137/S1064827596301406
URL : https://hal.archives-ouvertes.fr/inria-00073643
Optimizing the perfectly matched layer, Computer Methods in Applied Mechanics and Engineering, vol.164, issue.1-2, pp.157-171, 1998. ,
DOI : 10.1016/S0045-7825(98)00052-8
Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media, GEOPHYSICS, vol.66, issue.1, pp.294-307, 2001. ,
DOI : 10.1190/1.1444908
Stabilized Perfectly Matched Layer for Advective Acoustics, Mathematical and numerical aspects of wave propagation?WAVES 2003, pp.115-119, 2003. ,
DOI : 10.1007/978-3-642-55856-6_18
Absorbing boundary conditions for the numerical simulation of waves, Mathematics of Computation, vol.31, issue.139, pp.629-651, 1977. ,
DOI : 10.1090/S0025-5718-1977-0436612-4
Eléments finis mixtes spectraux et couches absorbantes parfaitement adaptées pour la propagation d'ondesélastiquesondes´ondesélastiques en régime transitoire, 2003. ,
An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices, IEEE Transactions on Antennas and Propagation, vol.44, issue.12, pp.1630-1639, 1996. ,
DOI : 10.1109/8.546249
Finite element formulation with high-order absorbing boundary conditions for time-dependent waves, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.29-32, pp.29-323666, 2006. ,
DOI : 10.1016/j.cma.2005.01.021
A New Construction of Perfectly Matched Layers for Hyperbolic Systems with Applications to the Linearized Euler Equations, pp.125-129, 2003. ,
DOI : 10.1007/978-3-642-55856-6_20
On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations, Journal of Computational Physics, vol.142, issue.1, pp.129-147, 1998. ,
DOI : 10.1006/jcph.1998.5938
On Absorbing Boundary Conditions for Linearized Euler Equations by a Perfectly Matched Layer, Journal of Computational Physics, vol.129, issue.1, pp.201-219, 1996. ,
DOI : 10.1006/jcph.1996.0244
A Stable, Perfectly Matched Layer for Linearized Euler Equations in Unsplit Physical Variables, Journal of Computational Physics, vol.173, issue.2, pp.455-480, 2001. ,
DOI : 10.1006/jcph.2001.6887
Well-posed absorbing layer for hyperbolic problems, Numerische Mathematik, vol.92, issue.3, pp.535-562, 2002. ,
DOI : 10.1007/s002110100263
A new approach to perfectly matched layers for the linearized Euler system, Journal of Computational Physics, vol.214, issue.2, pp.757-772, 2006. ,
DOI : 10.1016/j.jcp.2005.10.014
URL : https://hal.archives-ouvertes.fr/hal-00112953
Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates, SIAM Journal on Applied Mathematics, vol.60, issue.3, pp.1037-1058, 2000. ,
DOI : 10.1137/S0036139998334688
A Reflectionless Sponge Layer Absorbing Boundary Condition for the Solution of Maxwell's Equations with High-Order Staggered Finite Difference Schemes, Journal of Computational Physics, vol.139, issue.1 ,
DOI : 10.1006/jcph.1997.5855
Des modèles PML bien posés pour diversprobì emes hyperboliques, 2000. ,
Stability of absorbing boundary conditions, IEEE Transactions on Antennas and Propagation, vol.47, issue.4, pp.593-599, 1999. ,
DOI : 10.1109/8.768796
Perfectly matched absorbing boundary conditions based on anisotropic lossy mapping of space, IEEE Microwave and Guided Wave Letters, vol.5, issue.3, pp.90-92, 1995. ,
DOI : 10.1109/75.366463
Absorbing PML boundary layers for wave-like equations, Applied Numerical Mathematics, vol.27, issue.4, pp.533-557, 1998. ,
DOI : 10.1016/S0168-9274(98)00026-9
A general approach for the development of unsplit-field time-domain implementations of perfectly matched layers for FDTD grid truncation, IEEE Microwave and Guided Wave Letters, vol.6, issue.5, pp.209-211, 1996. ,
DOI : 10.1109/75.491508
GT-PML: generalized theory of perfectly matched layers and its application to the reflectionless truncation of finite-difference time-domain grids, IEEE Transactions on Microwave Theory and Techniques, vol.44, issue.12, pp.2555-2563, 1996. ,
DOI : 10.1109/22.554601
Domaine Universitaire -351, cours de la Libération -33405 Talence Cedex Centre de recherche INRIA Grenoble ? Rhône-Alpes : 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier Centre de recherche INRIA Lille ? Nord Europe : Parc Scientifique de la Haute Borne -40, avenue Halley -59650 Villeneuve d'Ascq Centre de recherche INRIA Nancy ? Grand Est ,
IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex Centre de recherche INRIA Saclay ? Île-de-France : Parc Orsay Université -ZAC des Vignes : 4, rue Jacques Monod -91893 Orsay Cedex Centre de recherche INRIA Sophia Antipolis ? Méditerranée : 2004, route des Lucioles -BP 93 -06902, 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399 ,