Non-overlapping domain decomposition methods in structural mechanics, Archives of Computational Methods in Engineering, vol.48, issue.2, pp.515-572, 2006. ,
DOI : 10.1007/BF02905857
URL : https://hal.archives-ouvertes.fr/hal-01224408
The variational multiscale method???a paradigm for computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.166, issue.1-2, pp.166-169, 1998. ,
DOI : 10.1016/S0045-7825(98)00079-6
The Arlequin method as a flexible engineering design tool, International Journal for Numerical Methods in Engineering, vol.193, issue.11, pp.1442-1462, 2005. ,
DOI : 10.1002/nme.1229
URL : https://hal.archives-ouvertes.fr/hal-00018915
Comportements local et macroscopique d'un type de milieux physiques heterogenes, International Journal of Engineering Science, vol.12, issue.4, pp.231-251, 1974. ,
DOI : 10.1016/0020-7225(74)90062-7
Non homogeneous media and vibration theory, Lecture Notes in Physics, vol.127, 1980. ,
Homogenization and damage for composite structures, International Journal for Numerical Methods in Engineering, vol.11, issue.2, pp.285-298, 1989. ,
DOI : 10.1002/nme.1620270206
Hierarchical modeling of heterogeneous bodies, Computer Methods in Applied Mechanics and Engineering, vol.138, issue.1-4, pp.1-4, 1996. ,
DOI : 10.1016/S0045-7825(96)01106-1
Hierarchical modeling of heterogeneous solids, Computer Methods in Applied Mechanics and Engineering, vol.172, issue.1-4, pp.1-4, 1999. ,
DOI : 10.1016/S0045-7825(98)00224-2
URL : https://hal.archives-ouvertes.fr/hal-01006923
Computational plasticity for composite structures based on mathematical homogenization: Theory and practice, Computer Methods in Applied Mechanics and Engineering, vol.148, issue.1-2, pp.148-53, 1997. ,
DOI : 10.1016/S0045-7825(97)00030-3
Modelling of nonstationary heat conduction problems in micro-periodic composites using homogenisation theory with corrective terms, Arch. Mech, vol.52, issue.2, pp.203-223, 2000. ,
A multiscale computational approach with field transfer dedicated to coupled problems, Int. J. Multiscale Comput. Eng, vol.6, issue.3, pp.233-250, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00330016
Homogénéisation et effets de bords dans les composites, Thèse d'état, 1990. ,
On the modelling of interfacial transition behaviour in composite materials, Computational Materials Science, vol.20, issue.2, pp.251-266, 2001. ,
DOI : 10.1016/S0927-0256(00)00183-X
Application of variational concepts to size effects in elastic heterogeneous bodies, Journal of the Mechanics and Physics of Solids, vol.38, issue.6, pp.813-841, 1990. ,
DOI : 10.1016/0022-5096(90)90041-2
Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme, International Journal for Numerical Methods in Engineering, vol.42, issue.8, pp.1235-1260, 2002. ,
DOI : 10.1002/nme.541
Introduction to Computational Micromechanics, 2005. ,
DOI : 10.1007/978-3-540-32360-0
Two scale analysis of heterogeneous elastic?plastic materials with asymptotic homogenization and voronoï cell finite element method, Comput. Methods Appl. Mech. Eng, pp.132-63, 1996. ,
Multi-scale modeling of heterogeneous structures with inelastic constitutive behaviour?part ii: software coupling and implementation aspects, Eng. Comput, pp.26-32, 2009. ,
The Reduced Basis Element Method: Application to a Thermal Fin Problem, SIAM Journal on Scientific Computing, vol.26, issue.1, pp.240-258, 2004. ,
DOI : 10.1137/S1064827502419932
URL : https://hal.archives-ouvertes.fr/hal-00021699
POD-based feedback control of the burgers equation by solving the evolutionary HJB equation, Computers & Mathematics with Applications, vol.49, issue.7-8, pp.7-8, 2005. ,
DOI : 10.1016/j.camwa.2004.07.022
Reduced-order fluid/structure modeling of a complete aircraft configuration, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.41-43, 2006. ,
DOI : 10.1016/j.cma.2005.08.026
Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.4-6, pp.4-6, 2007. ,
DOI : 10.1016/j.cma.2006.08.004
Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models, Journal of Computational Physics, vol.227, issue.16, pp.7813-7840, 2008. ,
DOI : 10.1016/j.jcp.2008.04.034
URL : https://hal.archives-ouvertes.fr/hal-00368500
Abstract, Communications in Computational Physics, vol.32, issue.01, pp.1-48, 2011. ,
DOI : 10.1090/S0025-5718-1985-0804937-0
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations, International Journal for Numerical Methods in Engineering, vol.35, issue.2, pp.155-181, 2011. ,
DOI : 10.1002/nme.3050
High-performance model reduction techniques in computational multi scale homogenization, Comput. Methods Appl. Mech. Eng, 2013. ,
Nonlinear Computational Structural Mechanics ? New Approaches and Non-incremental Methods of Calculation, 1999. ,
A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.23-24, pp.23-24, 2010. ,
DOI : 10.1016/j.cma.2010.01.009
URL : https://hal.archives-ouvertes.fr/hal-00455635
Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity, Computer Methods in Applied Mechanics and Engineering, vol.201, issue.204, pp.1-12, 2012. ,
DOI : 10.1016/j.cma.2011.08.025
URL : https://hal.archives-ouvertes.fr/hal-01462825
Recent Developments in Spectral Stochastic Methods for??the??Numerical Solution of Stochastic Partial Differential Equations, Archives of Computational Methods in Engineering, vol.24, issue.2, pp.251-285, 2009. ,
DOI : 10.1007/s11831-009-9034-5
URL : https://hal.archives-ouvertes.fr/hal-00366636
Proper generalized decomposition of time-multiscale models, International Journal for Numerical Methods in Engineering, vol.26, issue.6, pp.569-596, 2012. ,
DOI : 10.1002/nme.3331
URL : https://hal.archives-ouvertes.fr/hal-01007223
Proper generalized decomposition based dynamic data-driven control of thermal processes, Comput. Methods Appl. Mech. Eng, pp.213-242, 2012. ,
Proper Generalized Decomposition based dynamic data driven inverse identification, Mathematics and Computers in Simulation, vol.82, issue.9, pp.1677-1695, 2012. ,
DOI : 10.1016/j.matcom.2012.04.001
A Short Review on Model Order Reduction Based on Proper Generalized Decomposition, Archives of Computational Methods in Engineering, vol.69, issue.9, pp.395-404, 2011. ,
DOI : 10.1007/s11831-011-9064-7
URL : https://hal.archives-ouvertes.fr/hal-01004940
On a multiscale computational strategy with time and space homogenization for structural mechanics, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.28-30, pp.28-30, 2003. ,
DOI : 10.1016/S0045-7825(03)00341-4
The LATIN multiscale computational method and the Proper Generalized Decomposition, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.21-22, pp.21-22, 2010. ,
DOI : 10.1016/j.cma.2009.06.023
An extended finite element method for modeling crack growth with frictional contact, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.51-52, pp.51-52, 2001. ,
DOI : 10.1016/S0045-7825(01)00260-2
URL : https://hal.archives-ouvertes.fr/hal-01461932
A new fatigue frictional contact crack propagation model with the coupled X-FEM/LATIN method, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.33-34, pp.33-34, 2007. ,
DOI : 10.1016/j.cma.2007.03.004
URL : https://hal.archives-ouvertes.fr/hal-00380802
A computational strategy for poroelastic problems with a time interface between coupled physics, International Journal for Numerical Methods in Engineering, vol.195, issue.44-47, pp.783-804, 2008. ,
DOI : 10.1002/nme.2091
A computational strategy for thermo-poroelastic structures with a time-space interface coupling, International Journal for Numerical Methods in Engineering, vol.15, issue.4, pp.1053-1084, 2008. ,
DOI : 10.1002/nme.2283
A rational strategy for the resolution of parametrized problems in the PGD framework, Comput. Methods Appl. Mech. Eng, vol.259, pp.40-49, 2013. ,
Multiscale Computational Strategy With Time and Space Homogenization: A Radial-Type Approximation Technique for Solving Microproblems, International Journal for Multiscale Computational Engineering, vol.2, issue.4, pp.557-574, 2004. ,
DOI : 10.1615/IntJMultCompEng.v2.i4.40
URL : https://hal.archives-ouvertes.fr/hal-00368058
Proper Generalized Decomposition for Multiscale and??Multiphysics Problems, Archives of Computational Methods in Engineering, vol.193, issue.1???4, pp.351-372, 2010. ,
DOI : 10.1007/s11831-010-9053-2
Routes for Efficient Computational Homogenization of??Nonlinear Materials Using the??Proper Generalized Decompositions, Archives of Computational Methods in Engineering, vol.198, issue.33???36, pp.373-391, 2010. ,
DOI : 10.1007/s11831-010-9051-4
FE2 multiscale in linear elasticity based on parametrized microscale models using proper generalized decomposition, Computer Methods in Applied Mechanics and Engineering, vol.257, pp.257-183, 2013. ,
DOI : 10.1016/j.cma.2013.01.011
Multiscale elastic-viscoplastic computational analysis. A detailed example, Revue europ??enne de m??canique num??rique, vol.20, issue.7-8, pp.7-8 ,
DOI : 10.3166/ejcm.20.379-409
A model reduction technique based on the PGD for elastic-viscoplastic computational analysis, Computational Mechanics, vol.20, issue.7???8, pp.83-92, 2013. ,
DOI : 10.1007/s00466-012-0706-x
Augmented lagrangian interpretation of the nonoverlapping Schwartz alternating method, Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, pp.224-231, 1990. ,
A scalable time???space multiscale domain decomposition method: adaptive time scale separation, Computational Mechanics, vol.39, issue.32???33, pp.621-633, 2010. ,
DOI : 10.1007/s00466-010-0504-2
A multiscale extended finite element method for crack propagation, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.5, pp.381-399, 2008. ,
DOI : 10.1016/j.cma.2007.07.023