H. Alcin, B. Koobus, O. Allain, and A. Dervieux, Efficiency and scalability of a two-level schwarz algorithm 400 for incompressible and compressible flows, International Journal for Numerical Methods in Fluids, vol.72, issue.1, p.401, 2013.

L. Bennani, P. Villedieu, and M. Salaun, Two dimensional model of an electro-thermal ice protection 402 system, 5th AIAA Atmospheric and Space Environments Conference, p.2936, 2013.

L. Bennani, P. Villedieu, and M. Salaun, A mixed adhesion-brittle fracture model and its application to 404 the numerical study of ice shedding mechanisms, Engineering Fracture Mechanics, vol.158, pp.59-80, 2016.

L. Bennani, P. Villedieu, M. Salaun, and P. Trontin, Numerical simulation and modeling of ice 406 shedding: Process initiation, Computers & Structures, vol.142, pp.15-27, 2014.

D. Bennequin, J. Martin, L. Gander, L. Gouarin, and . Halpern, Optimized schwarz waveform relaxation for 408 advection reaction diffusion equations in two dimensions, Numerische Mathematik, vol.134, issue.3, p.409, 2016.

H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, 2010.

R. Chauvin, L. Bennani, P. Trontin, and P. Villedieu, An implicit time marching galerkin method for 412 the simulation of icing phenomena with a triple layer model, Finite Elements in Analysis and Design, vol.150, p.413, 2018.

R. Chauvin, P. Villedieu, and P. Trontin, A robust coupling algorithm applied to thermal ice protection 414 system unsteady modeling, 6th AIAA Atmospheric and Space Environments Conference, p.2061, 2014.

. Clark-r-dohrmann, B. Olof, and . Widlund, An overlapping schwarz algorithm for almost incompressible elasticity, SIAM 416 Journal on Numerical Analysis, vol.47, issue.4, p.417, 2009.

P. Victorita-dolean, F. Jolivet, and . Nataf, An introduction to domain decomposition methods: algorithms, 418 theory, and parallel implementation, vol.144, 2015.

M. , P. Errera, and S. Chemin, Optimal solutions of numerical interface conditions in fluid-structure thermal 420 analysis, Journal of Computational Physics, vol.245, pp.431-455, 2013.

J. Martin and . Gander, Optimized schwarz methods, SIAM Journal on Numerical Analysis, vol.44, issue.2, p.422, 2006.

J. Martin and . Gander, Schwarz methods over the course of time, Electron. Trans. Numer. Anal, vol.31, issue.5, p.423, 2008.

J. Martin, O. Gander, and . Dubois, Optimized schwarz methods for a diffusion problem with discontinuous coefficient. 424 Numerical Algorithms, vol.69, pp.109-144, 2015.

J. Martin, F. Gander, F. Magoules, and . Nataf, Optimized schwarz methods without overlap for the helmholtz 426 equation, SIAM Journal on Scientific Computing, vol.24, issue.1, pp.38-60, 2002.

J. Martin, H. Gander, and . Zhao, Overlapping schwarz waveform relaxation for the heat equation in n dimensions, 428 BIT Numerical Mathematics, vol.42, issue.4, pp.779-795, 2002.

P. Gosselet and C. Rey, Non-overlapping domain decomposition methods in structural mechanics. Archives of 430 computational methods in engineering, vol.13, p.515, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01224408

P. Lions, On the schwarz alternating method. iii: a variant for nonoverlapping subdomains, Third interna-432 tional symposium on domain decomposition methods for partial differential equations, vol.6, pp.202-223

P. A. Philadelphia, , 1990.

A. V. Luikov, Analytical heat diffusion theory, 2012.

F. Meng, W. Jeffrey, . Banks, D. William, D. W. Henshaw et al., A stable and accurate partitioned 436 algorithm for conjugate heat transfer, Journal of Computational Physics, vol.344, pp.51-85, 2017.

A. Hermann and . Schwarz, über einen grenzübergang durch alternierendes verfahren. Vierteljahrsschrift der Naturforschenden 438 Gesellschaft in Zürich, vol.15, pp.272-286, 1870.

A. Toselli and O. Widlund, Domain decomposition methods-algorithms and theory, vol.34, 2006.

P. Trontin, G. Blanchard, A. Kontogiannis, and P. Villedieu, Description and assessment of the 442 new onera 2d icing suite igloo2d, 9th AIAA Atmospheric and Space Environments Conference, p.443, 2017.

A. Valli and A. Quarteroni, Domain decomposition methods for partial differential equations, 1999.

H. James and . Vansant, Conduction heat transfer solutions, vol.446, 1983.