D. Ryckelynck, A priori hyperreduction method: an adaptive approach, Journal of Computational Physics, vol.202, issue.1, pp.346-366, 2005.
DOI : 10.1016/j.jcp.2004.07.015

D. Ryckelynck, Hyper-reduction of mechanical models involving internal variables, International Journal for Numerical Methods in Engineering, vol.1, issue.3, pp.75-89, 2009.
DOI : 10.1002/nme.2406
URL : https://hal.archives-ouvertes.fr/hal-00732247

P. Ladevèze and D. Leguillon, Error Estimate Procedure in the Finite Element Method and Applications, SIAM Journal on Numerical Analysis, vol.20, issue.3, pp.485-509, 1983.
DOI : 10.1137/0720033

L. Gallimard, P. Ladevèze, and J. P. Pelle, ERROR ESTIMATION AND ADAPTIVITY IN ELASTOPLASTICITY, International Journal for Numerical Methods in Engineering, vol.94, issue.2, pp.189-217, 1996.
DOI : 10.1002/(SICI)1097-0207(19960130)39:2<189::AID-NME849>3.0.CO;2-7

R. Radovitzky and M. Ortiz, Error estimation and adaptive meshing in strongly nonlinear dynamic problems, Computer Methods in Applied Mechanics and Engineering, vol.172, issue.1-4, pp.203-240, 1999.
DOI : 10.1016/S0045-7825(98)00230-8

N. Lahellec and P. Suquet, On the effective behavior of nonlinear inelastic composites: I. Incremental variational principles, Journal of the Mechanics and Physics of Solids, vol.55, issue.9, pp.1932-1963, 2007.
DOI : 10.1016/j.jmps.2007.02.003
URL : https://hal.archives-ouvertes.fr/hal-00214209

C. Miehe, J. Schotte, and M. Lambrecht, Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals, Journal of the Mechanics and Physics of Solids, vol.50, issue.10, pp.2123-2167, 2002.
DOI : 10.1016/S0022-5096(02)00016-9

P. Astrid, Reduction of Process Simulation Models : a proper orthogonal decomposition approach, 2004.

D. Ryckelynck and D. Missoum-benziane, Multi-level A Priori Hyper-Reduction of mechanical models involving internal variables, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.17-20, pp.17-20, 2010.
DOI : 10.1016/j.cma.2009.12.003
URL : https://hal.archives-ouvertes.fr/hal-00461492

D. Ryckelynck, F. Vincent, and S. Cantournet, Multidimensional a priori hyper-reduction of mechanical models involving internal variables, Computer Methods in Applied Mechanics and Engineering, vol.225, issue.228, pp.225-228, 2012.
DOI : 10.1016/j.cma.2012.03.005
URL : https://hal.archives-ouvertes.fr/hal-00705783

D. Ryckelynck, D. Missoum-benziane, A. Musienko, C. , and G. , Toward ??green?? mechanical simulations in materials science. Hyper-reduction of a polycrystal plasticity model, Revue europ??enne de m??canique num??rique, vol.19, issue.4, pp.4-365, 2010.
DOI : 10.3166/ejcm.19.365-388
URL : https://hal.archives-ouvertes.fr/hal-00523243

B. Miled, D. Ryckelynck, and S. Cantournet, A priori hyper-reduction method for coupled viscoelastic???viscoplastic composites, Computers & Structures, vol.119, pp.95-103, 2013.
DOI : 10.1016/j.compstruc.2012.11.017
URL : https://hal.archives-ouvertes.fr/hal-00790175

B. Sarbandi, S. Cartel, J. Besson, and D. Ryckelynck, Truncated Integration for Simultaneous Simulation of Sintering Using a Separated Representation, Archives of Computational Methods in Engineering, vol.12, issue.1, pp.455-463, 2010.
DOI : 10.1007/s11831-010-9055-0
URL : https://hal.archives-ouvertes.fr/hal-00542499

R. Everson and L. Sirovich, Karhunen???Lo??ve procedure for gappy data, Journal of the Optical Society of America A, vol.12, issue.8, pp.1657-1664, 1995.
DOI : 10.1364/JOSAA.12.001657

P. Ladevèze and L. Chamoin, On the verification of model reduction methods based on the proper generalized decomposition, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.23-24, pp.2032-2047, 2011.
DOI : 10.1016/j.cma.2011.02.019