C. Brezinski, Convergence acceleration during the 20th century, Journal of Computational and Applied Mathematics, vol.122, issue.1-2, pp.1-21, 2000.
DOI : 10.1016/S0377-0427(00)00360-5

URL : http://doi.org/10.1016/s0377-0427(00)00360-5

D. Shanks, Non-linear Transformations of Divergent and Slowly Convergent Sequences, Journal of Mathematics and Physics, vol.90, issue.2, pp.1-42, 1955.
DOI : 10.1002/sapm19553411

P. Wynn, Acceleration techniques for iterated vector and matrix problems, Mathematics of Computation, vol.16, issue.79, pp.301-322, 1962.
DOI : 10.1090/S0025-5718-1962-0145647-X

B. M. Irons and R. Tuck, A version of the Aitken accelerator for computer iteration, International Journal for Numerical Methods in Engineering, vol.1, issue.3, pp.275-277, 1969.
DOI : 10.1002/nme.1620010306

C. Brezinski and M. R. Zaglia, Extrapolation methods, Applied Numerical Mathematics, vol.15, issue.2, 1991.
DOI : 10.1016/0168-9274(94)00015-8

URL : https://hal.archives-ouvertes.fr/hal-00018524

P. R. Graves-morris, Extrapolation methods for vector sequences, Numerische Mathematik, vol.21, issue.1, pp.475-487, 1992.
DOI : 10.1007/BF01385521

G. A. Sedogbo, Some convergence acceleration processes for a class of vector 675 sequences, Applicationes Mathematicae, vol.24, issue.3, pp.299-306, 1997.

C. Brezinski and J. Chehab, Nonlinear hybrid procedures and fixed point iterations, Numerical Functional Analysis and Optimization, vol.24, issue.5-6, pp.5-6, 1998.
DOI : 10.1137/0521009

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.99

A. C. Aitken, On Bernouilli's numerical solution of algebraic equations, p.680

L. D. Marini and A. Quarteroni, A relaxation procedure for domain decomposition methods using finite elements, Numerische Mathematik, vol.41, issue.5, pp.575-598, 1989.
DOI : 10.1007/BF01398917

M. Garbey, Acceleration of the Schwarz method for elliptic problems, SIAM 685, J. Sci. Comput, vol.26, pp.1871-1893, 2005.

T. Washio and C. W. Oosterlee, Krylov subspace acceleration for nonlinear multigrid schemes, Electron. Trans. Numer. Anal, vol.6, pp.271-290, 1997.

A. Jemcov, J. P. Maruszewski, and H. Jasak, Acceleration and Stabilization of Algebraic Multigrid Solver Applied to Incompressible Flow Problems, 18th AIAA Computational Fluid Dynamics Conference, p.690, 2007.
DOI : 10.2514/6.2007-4330

U. Küttler and W. A. Wall, Fixed-point fluid???structure interaction solvers with dynamic relaxation, Computational Mechanics, vol.35, issue.6???8, pp.61-72, 2008.
DOI : 10.1007/s00466-008-0255-5

J. Degroote and K. Bathe, Performance of a new partitioned procedure versus a monolithic procedure in fluid???structure interaction, Computers & Structures, vol.87, issue.11-12, pp.793-801, 2009.
DOI : 10.1016/j.compstruc.2008.11.013

P. Erbts and A. Düster, Accelerated staggered coupling schemes for problems of thermoelasticity at finite strains, Computers & Mathematics with Applications, vol.64, issue.8, pp.2408-2430, 2012.
DOI : 10.1016/j.camwa.2012.05.010

B. Michel, C. Nonon, J. Sercombe, F. Michel, and V. Marelle, Simulation of 700 pellet-cladding interaction with the PLEIADES fuel performance software environment, Nuclear Technology, vol.182

R. P. Eddy, Extrapolation to the limit of a vector sequence, Information Linkage Between Applied Mathematics and Industry, pp.387-396, 1979.

D. Plancq, G. Thouvenin, J. Ricaud, C. Struzik, T. Helfer et al., PLEIADES : a unified environment for multidimensional fuel performance modeling, International meeting on LWR fuel performance, p.705, 2004.

B. Jones, Extrapolation for Higher Orders of Convergence, IMA Journal of Applied Mathematics, vol.17, issue.1, pp.27-36, 1976.
DOI : 10.1093/imamat/17.1.27

P. Henrici, Elements of Numerical Analysis, 1964.

Y. Nievergelt, Aitken's and Steffensen's accelerations in several variables, Numerische Mathematik, vol.62, issue.1, p.715
DOI : 10.1007/BF01385782

V. Eyert, A Comparative Study on Methods for Convergence Acceleration of Iterative Vector Sequences, Journal of Computational Physics, vol.124, issue.2, pp.271-285, 1996.
DOI : 10.1006/jcph.1996.0059

P. Erbts, S. Hartmann, and A. Düster, A partitioned solution approach for electro-thermo-mechanical problems, Archive of Applied Mechanics, vol.26, issue.1, pp.1-27, 2014.
DOI : 10.1007/s00419-014-0941-z

D. A. Smith, W. F. Ford, and A. Sidi, Extrapolation Methods for Vector Sequences, SIAM Review, vol.29, issue.2, pp.199-233, 1987.
DOI : 10.1137/1029042

A. Jennings, Accelerating the Convergence of Matrix Iterative Processes, IMA Journal of Applied Mathematics, vol.8, issue.1, pp.99-110, 1971.
DOI : 10.1093/imamat/8.1.99

O. C. Zienkiewicz and R. Lohner, Accelerated relaxation or direct solution, p.735
DOI : 10.1002/nme.1620210103

A. J. Macleod, Acceleration of vector sequences by multi-dimensional ??2 methods, Communications in Applied Numerical Methods, vol.49, issue.4, pp.385-392, 1986.
DOI : 10.1002/cnm.1630020409

H. F. Walker and P. Ni, Anderson Acceleration for Fixed-Point Iterations, SIAM Journal on Numerical Analysis, vol.49, issue.4, pp.1715-1735, 2011.
DOI : 10.1137/10078356X

URL : http://www.osti.gov/scitech/servlets/purl/1240289

K. Jbilou and H. Sadok, Vector extrapolation methods. Applications and numerical comparison, Journal of Computational and Applied Mathematics, vol.122, issue.1-2, pp.149-165, 2000.
DOI : 10.1016/S0377-0427(00)00357-5

P. Verpeaux, Algorithmes et méthodes du code éléments finis Cast3M, URL http://www-cast3m.cea.fr/index.php?xml=supportcours, in French Implicit coupling of partitioned flui-structure interaction problems with reduced order models, Computers and Structures, vol.85, pp.750-970, 2007.

J. C. Simo and R. L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.48, issue.1, pp.48-101, 1985.
DOI : 10.1016/0045-7825(85)90070-2

. Abaqus, Abaqus Analysis User's Manual, 2015.

A. , U. Tech, . Rep, and I. Ansys, [43] EDF, Algorithm for nonlinear quasi-static analysis (operator STAT_NON_LINE), Code-Aster reference guide R5.03.01 révision : 10290, EDF-R&D, p.760, 1999.

J. L. Chaboche, Constitutive equations for cyclic plasticity and cyclic viscoplasticity, International Journal of Plasticity, vol.5, issue.3, pp.247-302, 1989.
DOI : 10.1016/0749-6419(89)90015-6

J. L. Chaboche, Cyclic Viscoplastic Constitutive Equations, Part I: A Thermodynamically Consistent Formulation, Journal of Applied Mechanics, vol.60, issue.4, pp.813-828, 1993.
DOI : 10.1115/1.2900988

M. Berveiller and A. Zaoui, An extension of the self-consistent scheme to plastically-flowing polycrystals] EDF, Mono and polycrystalline elastoviscoplastic constitutive laws, Code- Aster reference guide R5.03.11 révision : 10623, EDF-R&D, Journal of the Mechanics and Physics of Solids, vol.26, pp.5-6, 1978.