J. F. Gerbeau and B. Perthame, Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation, Discrete and Continuous Dynamical Systems, pp.89-102, 2001.

L. Formaggia, J. F. Gerbeau, F. Nobile, and A. Quarteroni, On the coupling of 3D and 1D Navier???Stokes equations for flow problems in compliant vessels, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.6-7, pp.6-7, 2001.
DOI : 10.1016/S0045-7825(01)00302-4

URL : https://hal.archives-ouvertes.fr/hal-00691928

E. Miglio, S. Perotto, and F. Saleri, Model coupling techniques for free-surface flow problems : Part I, Nonlinear Analysis, pp.1885-18896, 2005.

J. Marin and J. Monnier, Superposition of local zoom models and simultaneous calibration for 1D???2D shallow water flows, Mathematics and Computers in Simulation, vol.80, issue.3, pp.547-560, 2009.
DOI : 10.1016/j.matcom.2009.09.001

P. Finaud-guyot, C. Delenne, V. Guinot, and C. Llovel, 1D?2D coupling for river flow modeling, Comptes-Rendus de l, Académie des Sciences, vol.339, pp.226-234, 2011.

N. Malleron, F. Zaoui, N. Goutal, and T. Morel, On the use of a high-performance framework for efficient model coupling in hydroinformatics, Environmental Modelling and Software, pp.1747-1758, 2011.

J. Leiva, P. Blanco, and G. Buscaglia, Partitioned analysis for dimensionallyheterogeneous hydraulic networks SIAM Multiscale Model, Simul, vol.9, pp.872-903, 2011.

E. Godlewski and P. A. Raviart, The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: I. The scalar case, Numerische Mathematik, vol.97, issue.1, pp.81-130, 2004.
DOI : 10.1007/s00211-002-0438-5

E. Godlewski, K. C. Le-thanh, and P. A. Raviart, The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.4, pp.649-692, 2005.
DOI : 10.1051/m2an:2005029

URL : https://hal.archives-ouvertes.fr/hal-00113734

B. Bouttin, Mathematical and numerical study of nonlinear hyperbolic equations: model coupling and nonclassical shocks, 2009.

P. J. Blanco, M. Discacciati, and A. Quarteroni, Modeling dimensionally-heterogeneous problems: analysis, approximation and applications, Numerische Mathematik, vol.195, issue.6, pp.299-335, 2011.
DOI : 10.1007/s00211-011-0387-y

URL : http://hdl.handle.net/2117/79360

J. Leiva, P. Blanco, and G. Buscaglia, Iterative strong coupling of dimensionallyheterogeneous models, International Journal for Numerical Methods in Engineering, vol.81, pp.1558-1580, 2010.

L. Formaggia, J. F. Gerbeau, F. Nobile, and A. Quarteroni, Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations, SIAM Journal on Numerical Analysis, vol.40, issue.1, pp.376-401, 2002.
DOI : 10.1137/S003614290038296X

URL : https://hal.archives-ouvertes.fr/inria-00072539

A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations, 2005.

V. Martin, Méthodes de décomposition de domaine de type relaxation d'ondes pour des équations de l'océanographie, 2003.

P. Lions, On the Schwarz alternating method. III. A variant for nonoverlapping subdomains, Third International Symposium on Domain Decomposition Methods for Partial Differential Equations SIAM, pp.202-223, 1989.

C. Japhet and F. Nataf, The best interface conditions for domain decomposition methods: absorbing boundary conditions, in Absorbing boundaries and layers, domain decomposition methods, Applications to Large Scale Computations, pp.348-373, 2001.

F. Hecht, O. Pironneau, and A. L. Hyaric, FreeFem++ manual, 2004.