A. Alonso-rodriguez and L. Gerardo-giorda, New Nonoverlapping Domain Decomposition Methods for the Harmonic Maxwell System, SIAM Journal on Scientific Computing, vol.28, issue.1, pp.102-122, 2006.
DOI : 10.1137/040608696

X. Antoine, C. Geuzaine, and K. Ramdani, Wave Propagation in Periodic Media -Analysis, Numerical Techniques and Practical Applications, volume 1, chapter Computational Methods for Multiple Scattering at High Frequency with Applications to Periodic Structures Calculations, Progress in Computational Physics, pp.73-107, 2010.

S. Balay, M. F. Adams, J. Brown, P. Brune, K. Buschelman et al., PETSc users manual, 2013.

S. Balay, M. F. Adams, J. Brown, P. Brune, K. Buschelman et al., PETSc Web page, 2015.

S. Balay, W. D. Gropp, L. C. Mcinnes, and B. F. Smith, Efficient Management of Parallelism in Object-Oriented Numerical Software Libraries, Modern Software Tools in Scientific Computing, pp.163-202, 1997.
DOI : 10.1007/978-1-4612-1986-6_8

A. Bayliss, M. Gunzburger, and E. Turkel, Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions, SIAM Journal on Applied Mathematics, vol.42, issue.2, pp.430-451, 1982.
DOI : 10.1137/0142032

F. B. Belgacem, A. Buffa, and Y. Maday, The Mortar Finite Element Method for 3D Maxwell Equations: First Results, SIAM Journal on Numerical Analysis, vol.39, issue.3, pp.880-901, 2001.
DOI : 10.1137/S0036142999357968

J. Berenger, 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. Bermúdez, L. Hervella-nieto, A. Prieto, and R. Rodríguez, 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.
DOI : 10.1016/j.jcp.2006.09.018

C. Bernardi, Y. Maday, and A. T. Patera, A new nonconforming approach to domain decomposition: the mortar element method, Collège de France Seminar XI Brezis and J. Lions, pp.13-51, 1994.

A. Bossavit, Computational Electromagnetism. Variational Formulations, Edge Elements, Complementarity, 1998.

Y. Boubendir, An analysis of the BEM-FEM non-overlapping domain decomposition method for a scattering problem, Journal of Computational and Applied Mathematics, vol.204, issue.2, pp.282-291, 2007.
DOI : 10.1016/j.cam.2006.02.044

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.
DOI : 10.1016/j.jcp.2011.08.007
URL : https://hal.archives-ouvertes.fr/hal-01094828

Y. Boubendir, A. Bendali, and M. B. Fares, Coupling of a non-overlapping domain decomposition method for a nodal finite element method with a boundary element method, International Journal for Numerical Methods in Engineering, vol.67, issue.11, pp.1624-1650, 2008.
DOI : 10.1002/nme.2136

F. Collino and P. Monk, 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

B. Després, Méthodes de décomposition de domaine pour les problèmes de propagation d'ondes en régime harmonique. Le théorème de Borg pour l'équation de Hill vectorielle, Thèse, 1991.

B. Després, P. Joly, and J. E. Roberts, A domain decomposition method for the harmonic Maxwell equations, Iterative methods in linear algebra, pp.475-484, 1991.

V. Dolean, J. M. Gander, S. Lanteri, J. Lee, and Z. Peng, Optimized Schwarz Methods for Curl-Curl Time-Harmonic Maxwell???s Equations, 2013.
DOI : 10.1007/978-3-319-05789-7_56

V. Dolean, M. J. Gander, and L. Gerardo-giorda, Optimized Schwarz Methods for Maxwell's Equations, SIAM Journal on Scientific Computing, vol.31, issue.3, pp.2193-2213, 2009.
DOI : 10.1137/080728536

P. Dular and C. Geuzaine, GetDP Reference Manual: The documentation for GetDP 2.5, A General environment for the treatment of Discrete Problems

P. Dular and C. Geuzaine, GetDP Web page

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.
DOI : 10.1109/20.717799

M. Bouajaji, C. Antoine, and . Geuzaine, Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations, Journal of Computational Physics, vol.279, issue.15, pp.279241-260, 2014.
DOI : 10.1016/j.jcp.2014.09.011

M. Bouajaji, V. Dolean, M. Gander, and S. Lanteri, Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping, SIAM Journal on Scientific Computing, vol.34, issue.4, pp.2048-2071, 2012.
DOI : 10.1137/110842995
URL : https://hal.archives-ouvertes.fr/hal-00637822

M. Bouajaji, B. Thierry, X. Antoine, and C. Geuzaine, A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations, Journal of Computational Physics, vol.294, issue.1, pp.38-57, 2015.
DOI : 10.1016/j.jcp.2015.03.041

B. Engquist and A. Majda, 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

B. Engquist and L. Ying, Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers, Multiscale Modeling & Simulation, vol.9, issue.2, pp.686-710, 2011.
DOI : 10.1137/100804644

O. G. Ernst and M. J. Gander, Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods, Numerical Analysis of Multiscale Problems, pp.325-363, 2012.
DOI : 10.1007/978-3-642-22061-6_10

M. Gander, Optimized Schwarz Methods, SIAM Journal on Numerical Analysis, vol.44, issue.2, pp.699-731, 2006.
DOI : 10.1137/S0036142903425409
URL : https://hal.archives-ouvertes.fr/hal-00107263

M. Gander and L. Halpern, Méthode de décomposition de domaine. Encyclopédie électronique pour les ingénieurs, 2012.

M. Gander, C. Japhet, Y. Maday, and F. Nataf, A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case, In Domain Decomposition Methods in Science and Engineering Lecture Notes in Computational Science and Engineering, vol.40, pp.259-266, 2005.
DOI : 10.1007/3-540-26825-1_24
URL : https://hal.archives-ouvertes.fr/hal-00112937

M. J. Gander, L. Halpern, and F. Nataf, Optimized Schwarz Methods, Proceedings of the 12th International Conference on Domain Decomposition, ddm.org, 2000.
DOI : 10.1137/S0036142903425409
URL : https://hal.archives-ouvertes.fr/hal-00107263

M. J. Gander, F. Magoulès, and F. Nataf, Optimized Schwarz Methods without Overlap for the Helmholtz Equation, SIAM Journal on Scientific Computing, vol.24, issue.1, pp.38-60, 2002.
DOI : 10.1137/S1064827501387012
URL : https://hal.archives-ouvertes.fr/hal-00624495

C. Geuzaine, High order hybrid finite element schemes for Maxwell's equations taking thin structures and global quantities into account, 2001.

C. Geuzaine, GetDP: a general finite-element solver for the de Rham complex, PAMM Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, pp.1010603-1010604, 2007.
DOI : 10.1002/pamm.200700750

C. Geuzaine, F. Henrotte, E. Marchandise, J. Remacle, P. Dular et al., ONELAB: Open Numerical Engineering LABoratory, Proceedings of the 7th European Conference on Numerical Methods in Electromagnetism (NUM- ELEC2012), 2012.
URL : https://hal.archives-ouvertes.fr/hal-01398071

C. Geuzaine and J. Remacle, Gmsh Reference Manual: The documentation for Gmsh 2.9, A finite element mesh generator with built-in pre-and post-processing facilities

C. Geuzaine and J. Remacle, Gmsh Web page

C. Geuzaine and J. Remacle, Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.69, issue.4, pp.1309-1331, 2009.
DOI : 10.1002/nme.2579

D. Givoli, Computational absorbing boundaries Computational Acoustics of Noise Propagation in Fluids -Finite and Boundary Element Methods, pp.145-166, 2008.

C. Japhet, Y. Maday, and F. Nataf, FINITE ELEMENT CASE, Mathematical Models and Methods in Applied Sciences, vol.23, issue.12, pp.2253-2292, 2013.
DOI : 10.1142/S0218202513500310
URL : https://hal.archives-ouvertes.fr/hal-00144262

P. Jolivet, V. Dolean, F. Hecht, F. Nataf, C. Prud-'homme et al., High performance domain decomposition methods on massively parallel architectures with freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.3-4287, 2012.
DOI : 10.1515/jnum-2012-0015
URL : https://hal.archives-ouvertes.fr/hal-00835298

A. Modave, E. Delhez, and C. Geuzaine, Optimizing perfectly matched layers in discrete contexts, International Journal for Numerical Methods in Engineering, vol.54, issue.1, pp.410-437, 2014.
DOI : 10.1002/nme.4690
URL : https://hal.archives-ouvertes.fr/hal-01386393

A. Moiola and E. A. Spence, Is the Helmholtz equation really sign-indefinite? SIAM Rev, pp.274-312, 2014.

F. Nataf, Interface connections in domain decomposition methods, NATO Science Series II, vol.75, 2001.
DOI : 10.1007/978-94-010-0510-4_9

F. Nataf and F. Nier, Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains, Numerische Mathematik, vol.75, issue.3, pp.357-377, 1997.
DOI : 10.1007/s002110050243

J. Nédélec, Acoustic and electromagnetic equations Integral representations for harmonic problems, Applied Mathematical Sciences, vol.144, 2001.

Z. Peng and J. Lee, A Scalable Nonoverlapping and Nonconformal Domain Decomposition Method for Solving Time-Harmonic Maxwell Equations in $\mathbb{R}^3$, SIAM Journal on Scientific Computing, vol.34, issue.3, pp.1266-1295, 2012.
DOI : 10.1137/100817978

Z. Peng, V. Rawat, and J. Lee, One way domain decomposition method with second order transmission conditions for solving electromagnetic wave problems, Journal of Computational Physics, vol.229, issue.4, pp.1181-1197, 2010.
DOI : 10.1016/j.jcp.2009.10.024

V. Rawat and J. Lee, Nonoverlapping Domain Decomposition with Second Order Transmission Condition for the Time-Harmonic Maxwell's Equations, SIAM Journal on Scientific Computing, vol.32, issue.6, pp.3584-3603, 2010.
DOI : 10.1137/090777220

Y. Saad and M. H. Schultz, GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, pp.856-869, 1986.
DOI : 10.1137/0907058

A. Samake, V. Chabannes, C. Picard, and C. Prud-'homme, Domain Decomposition Methods in Feel++, In Domain Decomposition Methods in Science and Engineering XXI, pp.397-405, 2014.
DOI : 10.1007/978-3-319-05789-7_37
URL : https://hal.archives-ouvertes.fr/hal-00762321

C. Stolk, A rapidly converging domain decomposition method for the Helmholtz equation, Journal of Computational Physics, vol.241, issue.0, pp.240-252, 2013.
DOI : 10.1016/j.jcp.2013.01.039

A. Toselli and O. Widlund, Domain decomposition methods?algorithms and theory, of Springer Series in Computational Mathematics, 2005.
DOI : 10.1007/b137868

A. Vion, R. Bélanger-rioux, L. Demanet, and C. Geuzaine, A DDM double sweep preconditioner for the Helmholtz equation with matrix probing of the DtN map, Mathematical and Numerical Aspects of Wave Propagation WAVES 2013, 2013.

A. Vion and C. Geuzaine, Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem, Journal of Computational Physics, vol.266, issue.0, pp.171-190, 2014.
DOI : 10.1016/j.jcp.2014.02.015

A. Vion and C. Geuzaine, Parallel Double Sweep Preconditioner for the Optimized Schwarz Algorithm Applied to High Frequency Helmholtz and Maxwell Equations, LNCSE, Proc. of DD22, 2014.
DOI : 10.1007/978-3-319-18827-0_22