Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, vol.45, pp.601-620, 1999. ,
Simulation of delamination under impact using a global-local method in explicit dynamics, Finite Elements in Analysis and Design, vol.100, pp.1-13, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01756777
An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis, Probabilistic Engineering Mechanics 25, vol.2, pp.183-197, 2010. ,
Adaptive sparse polynomial chaos expansion based on least angle regression, Journal of Computational Physics, vol.230, pp.2345-2367, 2011. ,
Analysis of a Chimera method, Comptes Rendus de l'Académie des Sciences-Series I-Mathematics, vol.332, pp.655-660, 2001. ,
A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties, Computer Methods in Applied Mechanics and Engineering, vol.255, pp.255-274, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00733739
High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs, Foundations of Computational Mathematics, vol.14, pp.601-633, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01350602
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs, Journal de Mathématiques Pures et Appliquées 103, vol.2, pp.400-428, 2015. ,
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs, ESAIM: M2AN 47.1, pp.253-280, 2013. ,
Problèmes mécaniques multi-échelles: la méthode Arlequin-Multiscale mechanical problems: the Arlequin method, Comptes Rendus de l'Académie des SciencesSeries IIB-Mechanics-Physics-Astronomy, vol.326, pp.899-904, 1998. ,
Analyse mathématique de la méthode Arlequin mixteMathematical analysis of the mixed Arlequin method, Comptes Rendus de l'Académie des Sciences-Series I-Mathematics, vol.332, pp.649-654, 2001. ,
Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification, Computer Methods in Applied Mechanics and Engineering, vol.197, pp.3445-3455, 2008. ,
Non-intrusive Coupling: Recent Advances and Scalable Nonlinear Domain Decomposition, Archives of Computational Methods in Engineering, pp.17-38, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01065538
The Heterogeneous Multiscale Methods, Communications in Mathematical Sciences, vol.1, issue.1, pp.87-132, 2003. ,
A stochastic multiscale framework for modeling flow through random heterogeneous porous media, Journal of Computational Physics, vol.228, pp.591-618, 2009. ,
A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types, SIAM Journal on Scientific Computing, vol.33, pp.1439-1474, 2011. ,
A two-scale approximation of the Schur complement and its use for non-intrusive coupling, International Journal for Numerical Methods in Engineering, vol.87, pp.889-905, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01224373
Non-intrusive and exact global/local techniques for structural problems with local plasticity, English. In: Computational Mechanics, vol.44, issue.2, pp.233-245, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00437023
A Novel Method for Solving Multiscale Elliptic Problems with Randomly Perturbed Data, Multiscale Modeling & Simulation, vol.8, issue.3, pp.977-996, 2010. ,
Finite element approximation of multi-scale elliptic problems using patches of elements, Numerische Mathematik, vol.101, pp.663-687, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00113130
A Local Multi-grid X-FEM approach for 3D fatigue crack growth, International Journal of Material Forming, vol.1, issue.1, pp.1103-1106, 2008. ,
Solving dynamic contact problems with local refinement in space and time, Computer Methods in Applied Mechanics and Engineering, pp.25-41, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01393141
Accelerating the method of finite element patches using approximately harmonic functions, Comptes Rendus Mathematique, vol.345, pp.107-112, 2007. ,
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media, Journal of Computational Physics, vol.134, pp.169-189, 1997. ,
The variational multiscale method-a paradigm for computational mechanics, Advances in Stabilized Methods in Computational Mechanics, vol.166, pp.3-24, 1998. ,
A version of the Aitken accelerator for computer iteration, International Journal for Numerical Methods in Engineering, vol.1, issue.3, pp.275-277, 1969. ,
Parallel Domain Decomposition Methods for Stochastic Elliptic Equations, SIAM Journal on Scientific Computing, vol.29, pp.2096-2114, 2007. ,
DOI : 10.1137/060662381
Fixed-point fluid-structure interaction solvers with dynamic relaxation, Computational Mechanics 43.1, pp.61-72, 2008. ,
Multiscale Finite Element approach for "weakly" random problems and related issues, pp.815-858, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00639349
Domain decomposition methods for CAD, Comptes Rendus de l'Académie des Sciences-Series I-Mathematics, vol.328, pp.73-80, 1999. ,
DOI : 10.1016/s0764-4442(99)80015-9
A non-intrusive global/local algorithm with non-matching interface: Derivation and numerical validation, Computer Methods in Applied Mechanics and Engineering, pp.81-103, 2014. ,
DOI : 10.1016/j.cma.2014.04.012
Méthodes numériques et modélisation pour certains problèmes multi-échelles". Habilitation à diriger des recherches, 2010. ,
Acceleration of vector sequences by multi-dimensional ? 2 methods, Communications in Applied Numerical Methods, vol.2, issue.4, pp.385-392, 1986. ,
A refined global-local finite element analysis method, International Journal for Numerical Methods in Engineering, vol.32, pp.29-43, 1991. ,
A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, pp.131-150, 1999. ,
Variational multiscale stabilized FEM formulations for transport equations: stochastic advection-diffusion and incompressible stochastic Navier-Stokes equations, Journal of Computational Physics, vol.202, pp.94-133, 2005. ,
A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.1603-1626, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00455635
A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01507489
Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization, Computer Methods in Applied Mechanics and Engineering, pp.1641-1660, 1920. ,
, References VI
Direct estimation of generalized stress intensity factors using a three-scale concurrent multigrid X-FEM, International Journal for Numerical Methods in Engineering, vol.85, pp.1648-1666, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00708392
Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver, English. In: Computational Mechanics, vol.52, pp.1381-1393, 2013. ,
DOI : 10.1007/s00466-013-0882-3
URL : https://hal.archives-ouvertes.fr/hal-00824125
Numerical zoom for multiscale problems with an application to flows through porous media, Discrete & Continuous Dynamical Systems-A 23.1, pp.265-280, 2009. ,
, Sensitivity Analysis, 2000.
Domain decomposition of stochastic PDEs: Theoretical formulations, International Journal for Numerical Methods in Engineering, vol.77, pp.689-701, 2009. ,
Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators, Special Issue on Computational Methods in Stochastic Mechanics and Reliability Analysis, vol.194, pp.26-64, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00686157
Maximum entropy approach for modeling random uncertainties in transient elastodynamics, The Journal of the Acoustical Society of America, vol.109, p.329, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00686287
A Chimera grid scheme, Advances in Grid Generation, vol.5, pp.59-69, 1983. ,
Coupled model-and solution-adaptivity in the finite-element method, Computer Methods in Applied Mechanics and Engineering, vol.150, pp.327-350, 1997. ,
The design and analysis of the Generalized Finite Element Method, Computer Methods in Applied Mechanics and Engineering, vol.181, issue.1-3, pp.43-69, 2000. ,
Global sensitivity analysis using polynomial chaos expansions, Reliability Engineering & System Safety 93, vol.7, pp.964-979, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-01432217
A Review of A Posteriori Error Estimation and Adaptive Mesh-refinement Techniques, 1996. ,
A multiscale preconditioner for stochastic mortar mixed finite elements, Computer Methods in Applied Mechanics and Engineering, pp.1251-1262, 0200. ,
Iterative global/local finite element analysis, Computers & Structures, vol.40, pp.1027-1031, 1991. ,
, References VIII
Iterative Methods by Space Decomposition and Subspace Correction, SIAM Review, vol.34, pp.581-613, 1992. ,
A multiscale stochastic finite element method on elliptic problems involving uncertainties, Computer Methods in Applied Mechanics and Engineering, vol.196, pp.2723-2736, 2007. ,
A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials, Computers & Structures, vol.87, pp.1416-1426, 2009. ,
Domain decomposition methods for linear and semilinear elliptic stochastic partial differential equations, Applied Mathematics and Computation, vol.195, pp.630-640, 2008. ,