Stochastic finite elements: Computational approaches to stochastic partial differential equations, ZAMM, vol.196, issue.11, pp.849-873, 2008. ,
DOI : 10.1002/zamm.200800095
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
Fast numerical methods for stochastic computations: a review, Communication in Computational Physics, vol.5, issue.2-4, pp.242-272, 2009. ,
Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics, 2010. ,
DOI : 10.1007/978-90-481-3520-2
Domain decomposition of stochastic PDEs: Theoretical formulations, International Journal for Numerical Methods in Engineering, vol.31, issue.4, pp.689-701, 2009. ,
DOI : 10.1002/nme.2431
A multiscale stochastic finite element method on elliptic problems involving uncertainties, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.25-28, pp.2723-2736, 2007. ,
DOI : 10.1016/j.cma.2007.02.002
A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials, Computers & Structures, vol.87, issue.21-22, pp.1416-1426, 2009. ,
DOI : 10.1016/j.compstruc.2009.05.009
A stochastic multiscale framework for modeling flow through random heterogeneous porous media, Journal of Computational Physics, vol.228, issue.2, pp.591-618, 2009. ,
DOI : 10.1016/j.jcp.2008.10.006
A stochastic mixed finite element heterogeneous multiscale method for flow in porous media, Journal of Computational Physics, vol.230, issue.12, pp.4696-4722, 2011. ,
DOI : 10.1016/j.jcp.2011.03.001
Coupled model- and solution-adaptivity in the finite-element method, Computer Methods in Applied Mechanics and Engineering, vol.150, issue.1-4, pp.327-350, 1997. ,
DOI : 10.1016/S0045-7825(97)00082-0
Applying the hp???d version of the FEM to locally enhance dimensionally reduced models, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.37-40, pp.3524-3533, 2007. ,
DOI : 10.1016/j.cma.2006.10.018
The partition of unity method: basic theory and applications, Computer Methods in Applied Mechanics and Engineering, vol.39, pp.289-314, 1996. ,
A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, issue.1, pp.131-150, 1999. ,
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A
Non-intrusive and exact global/local techniques for structural problems with local plasticity, Computational Mechanics, vol.36, issue.1, pp.233-245, 2009. ,
DOI : 10.1007/s00466-009-0372-9
URL : https://hal.archives-ouvertes.fr/hal-00437023
A two-scale approximation of the Schur complement and its use for non-intrusive coupling, International Journal for Numerical Methods in Engineering, vol.64, issue.1-4, pp.889-905, 2011. ,
DOI : 10.1002/nme.3142
URL : https://hal.archives-ouvertes.fr/hal-01224373
Méthodes numériques et modélisation pour certainsprobì emes multi-´ echelles, 2010. ,
Numerical zoom for advection diffusion problems with localized multiscales, Numerical Methods for Partial Differential Equations, vol.38, issue.1, pp.197-207, 2011. ,
DOI : 10.1002/num.20642
URL : https://hal.archives-ouvertes.fr/hal-00631122
Solving dynamic contact problems with local refinement in space and time, Computer Methods in Applied Mechanics and Engineering, vol.201, issue.204, pp.201-20425, 2012. ,
DOI : 10.1016/j.cma.2011.09.006
URL : https://hal.archives-ouvertes.fr/hal-01393141
Analysis of a Chimera method, Comptes Rendus de l'Académie des Sciences -Series I -Mathematics, pp.655-660, 2001. ,
DOI : 10.1016/S0764-4442(01)01904-8
Coupling of atomistic and continuum simulations using a bridging scale decomposition, Journal of Computational Physics, vol.190, issue.1, pp.249-274, 2003. ,
DOI : 10.1016/S0021-9991(03)00273-0
A bridging domain method for coupling continua with molecular dynamics, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.17-20, pp.17-201645, 2004. ,
DOI : 10.1016/j.cma.2003.12.053
Multiscale mechanical problems: the Arlequin method Comptes Rendus de l'Académie des Sciences, pp.899-904, 1998. ,
A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.43-44, pp.3530-3546, 2008. ,
DOI : 10.1016/j.cma.2008.04.013
A stochastic-deterministic coupling method for continuum mechanics, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.47-48, pp.3280-3288, 2011. ,
DOI : 10.1016/j.cma.2011.07.010
URL : https://hal.archives-ouvertes.fr/hal-00709540
Tensor Spaces and Numerical Tensor Calculus, of Series in Computational Mathematics, 2012. ,
DOI : 10.1007/978-3-642-28027-6
Proper Generalized Decompositions and Separated Representations for the Numerical Solution of High Dimensional Stochastic Problems, Archives of Computational Methods in Engineering, vol.225, issue.1, pp.403-434, 2010. ,
DOI : 10.1007/s11831-010-9054-1
URL : https://hal.archives-ouvertes.fr/hal-00461099
Model order reduction based on proper generalized decomposition for the propagation of uncertainties in structural dynamics, International Journal for Numerical Methods in Engineering, vol.5, issue.2-4, pp.241-268, 2012. ,
DOI : 10.1002/nme.3249
URL : https://hal.archives-ouvertes.fr/hal-00603342
A fictitious domain approach to the numerical solution of PDEs in stochastic domains, Numerische Mathematik, vol.28, issue.2, pp.257-293, 2007. ,
DOI : 10.1007/s00211-007-0086-x
An extended stochastic finite element method for solving stochastic partial differential equations on random domains, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.51-52, pp.51-524663, 2008. ,
DOI : 10.1016/j.cma.2008.06.010
URL : https://hal.archives-ouvertes.fr/hal-00366617
Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.45-46, pp.3066-3082, 2011. ,
DOI : 10.1016/j.cma.2011.07.002
URL : https://hal.archives-ouvertes.fr/hal-00662564
Discretization methods and iterative solvers based on domain decomposition, 2001. ,
DOI : 10.1007/978-3-642-56767-4
Numerical Methods for Differential Equations in Random Domains, SIAM Journal on Scientific Computing, vol.28, issue.3, pp.1167-1185, 2006. ,
DOI : 10.1137/040613160
Survey of meshless and generalized finite element methods: A unified approach, Acta Numerica, vol.12, pp.1-125, 2003. ,
Iterative Methods by Space Decomposition and Subspace Correction, SIAM Review, vol.34, issue.4, pp.581-613, 1992. ,
DOI : 10.1137/1034116
Tensor Decompositions and Applications, SIAM Review, vol.51, issue.3, pp.455-500, 2009. ,
DOI : 10.1137/07070111X
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.130.782
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