D. Bennequin, M. J. Gander, and L. Halpern, A homographic best approximation problem with application to optimized Schwarz waveform relaxation, Mathematics of Computation, vol.78, issue.265, pp.185-223, 2009.
DOI : 10.1090/S0025-5718-08-02145-5
URL : https://hal.archives-ouvertes.fr/hal-00111643

E. Blayo, L. Halpern, and C. Japhet, Optimized Schwarz Waveform Relaxation Algorithms with Nonconforming Time Discretization for Coupling Convection-diffusion Problems with Discontinuous Coefficients, Decomposition Methods in Science and Engineering XVI, pp.267-274, 2007.
DOI : 10.1007/978-3-540-34469-8_31
URL : https://hal.archives-ouvertes.fr/inria-00187555

P. Charton, F. Nataf, and F. Rogier, Méthode de décomposition de domaine pour l'´ equation d'advection-diffusion, C. R. Acad. Sci, vol.313, issue.9, pp.623-626, 1991.

M. J. Gander, L. Halpern, and F. Nataf, Optimal convergence for overlapping and non-overlapping Schwarz waveform relaxation, Eleventh international Conference of Domain Decomposition Methods. ddm.org, 1999.

M. J. Gander and L. Halpern, Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems, SIAM Journal on Numerical Analysis, vol.45, issue.2, pp.666-697, 2007.
DOI : 10.1137/050642137

M. J. Gander, L. Halpern, and M. Kern, A Schwarz Waveform Relaxation Method for Advection???Diffusion???Reaction Problems with Discontinuous Coefficients and Non-matching Grids, Decomposition Methods in Science and Engineering XVI, pp.916-920, 2007.
DOI : 10.1007/978-3-540-34469-8_33
URL : https://hal.archives-ouvertes.fr/hal-01111940

M. J. Gander, L. Halpern, and F. Nataf, Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation, SIAM Journal on Numerical Analysis, vol.41, issue.5, pp.1643-1681, 2003.
DOI : 10.1137/S003614290139559X

M. J. Gander, C. Japhet, Y. Maday, and F. Nataf, A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case
DOI : 10.1007/3-540-26825-1_24
URL : https://hal.archives-ouvertes.fr/hal-00112937

L. Halpern and C. Japhet, Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation for Heterogeneous Problems, Decomposition Methods in Science and Engineering XVII, pp.211-219, 2008.
DOI : 10.1007/978-3-540-75199-1_23

L. Halpern, C. Japhet, and J. Szeftel, Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation, Proceedings of the Eighteenth International Conference on Domain Decomposition Methods, 2009.
DOI : 10.1007/978-3-642-11304-8_13

L. Halpern, C. Japhet, and J. Szeftel, Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries, Proceedings of the Eighteenth International Conference on Domain Decomposition Methods, 2010.
DOI : 10.1007/978-3-642-11304-8_7

C. Japhet, Méthode de décomposition de domaine et conditions aux limites artificielles en mécanique des fluides : méthode Optimisée d'Ordre 2 (OO2), 1998.

C. Johnson and K. Eriksson, Adaptive finite element methods for parabolic problems ii: Optimal error estimates in l?l 2 and l?l?, SIAM J. Numer.Anal, vol.32, 1995.

C. Johnson, K. Eriksson, and V. Thomee, Time discretization of parabolic problems by the discontinuous Galerkin method, RAIRO Modél. Math. Anal. Numér, vol.19, 1985.

J. Lions and E. Magenes, Probì emes aux limites non homogènes et applications, 1968.

C. Makridakis and R. Nochetto, A posteriori error analysis for higher order dissipative methods for evolution problems, Numerische Mathematik, vol.40, issue.224, 2006.
DOI : 10.1007/s00211-006-0013-6

V. Martin, An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions, Applied Numerical Mathematics, vol.52, issue.4, pp.401-428, 2005.
DOI : 10.1016/j.apnum.2004.08.022

J. Szeftel, Absorbing boundary conditions for reaction-diffusion equations, IMA Journal of Applied Mathematics, vol.68, issue.2, pp.167-184, 2003.
DOI : 10.1093/imamat/68.2.167
URL : http://imamat.oxfordjournals.org/cgi/content/short/68/2/167

J. Szeftel, Calcul pseudo-différentiel et para-différentiel pour l'´ etude des conditions aux limites absorbantes et des propriétés qualitatives des EDP non linéaires, 2004.

V. Thomee, Galerkin Finite Element Methods for Parabolic Problems, 1997.
DOI : 10.1007/978-3-662-03359-3