Inverse Problem Theory. SIAM, 2005. ,
Statistical and computational inverse problems, 2005. ,
Fast validation of stochastic structural models using a PGD reduction scheme, Finite Elements in Analysis and Design, vol.70, issue.71, 2013. ,
DOI : 10.1016/j.finel.2013.04.003
URL : https://hal.archives-ouvertes.fr/hal-01689627
Data-driven model reduction for the Bayesian solution of inverse problems, International Journal for Numerical Methods in Engineering, vol.30, issue.6, 2014. ,
DOI : 10.1137/070694855
Bayesian and Markov chain Monte Carlo methods for identifying nonlinear systems in the presence of uncertainty Phil, Trans.R, 2015. ,
Proper Generalized Decomposition model reduction in the Bayesian framework for solving inverse heat transfer problems, Inverse Problems in Science and Engineering, vol.25, issue.2 ,
DOI : 10.1186/s40323-015-0050-8
Facilitating bayesian identification of elastic constants through dimensionality reduction and response surface methodology, 2009. ,
The Proper Generalized Decomposition for Advanced Numerical Simulations, 2014. ,
DOI : 10.1007/978-3-319-02865-1
Reduced-Basis Approximation and A Posteriori Error Estimation, 2005. ,
Real-time validation of mechanical models coupling PGD and constitutive relation error, Computational Mechanics, vol.200, issue.23???24, pp.861-883, 2013. ,
DOI : 10.1016/j.cma.2011.02.019
URL : https://hal.archives-ouvertes.fr/hal-01580007
An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems, Comptes Rendus Mathematique, vol.354, issue.12, 2014. ,
DOI : 10.1016/j.crma.2016.10.008
URL : https://doi.org/10.1016/j.crma.2016.10.008
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems, Journal of Computational Physics, vol.228, issue.6, pp.1862-1902, 2009. ,
DOI : 10.1016/j.jcp.2008.11.024
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.23-241603, 2010. ,
DOI : 10.1016/j.cma.2010.01.009
URL : https://hal.archives-ouvertes.fr/hal-00455635
Proper Generalized Decomposition computational methods on a benchmark problem: introducing a new strategy based on Constitutive Relation Error minimization, Advanced Modeling and Simulation in Engineering Sciences, vol.21, issue.3???6, 2015. ,
DOI : 10.1137/S0036144598340483
URL : https://hal.archives-ouvertes.fr/hal-01216233
Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized PDEs, 2007. ,
Dynamic data-driven reduced-order models, Computer Methods in Applied Mechanics and Engineering, vol.291, pp.21-41, 2015. ,
DOI : 10.1016/j.cma.2015.03.018
An error estimator for separated representations of highly multidimensional models, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.25-28, pp.25-281872, 2010. ,
DOI : 10.1016/j.cma.2010.02.012
URL : https://hal.archives-ouvertes.fr/hal-01004991
Synergies between the constitutive relation error concept and PGD model reduction for simplified V&V procedures, Advanced Modeling and Simulation in Engineering Sciences, vol.206, issue.10, 2016. ,
DOI : 10.1016/j.jcp.2004.12.018
URL : https://hal.archives-ouvertes.fr/hal-01588639
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 : 10.1016/j.compscitech.2008.09.041
URL : https://hal.archives-ouvertes.fr/hal-01004940
Virtual charts of solutions for parametrized nonlinear equations, Computational Mechanics, vol.13, issue.1, 2014. ,
DOI : 10.1007/BF02905932
URL : https://hal.archives-ouvertes.fr/hal-01657143
Integration of PGD-virtual charts into an engineering design process, Computational Mechanics, vol.103, issue.10, pp.637-651, 2016. ,
DOI : 10.1002/nme.4909
URL : https://hal.archives-ouvertes.fr/hal-01647844
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.23-242032, 2011. ,
DOI : 10.1016/j.cma.2011.02.019
Toward guaranteed PGD-reduced models, Bytes and Science CIMNE, 2012. ,
A new approach to linear ltering and prediction problems, Journal of Basic Engineering, vol.82, issue.1, p.3545, 1960. ,
Real-time updating of structural mechanics models using Kalman filtering, modified constitutive relation error, and proper generalized decomposition, International Journal for Numerical Methods in Engineering, vol.88, issue.3, 2016. ,
DOI : 10.1002/nme.3170
URL : https://hal.archives-ouvertes.fr/hal-01241738
Dynamic Data Driven Applications Systems: A New Paradigm for Application Simulations and Measurements, 4th International Conference, pp.662-669, 2004. ,
DOI : 10.1007/978-3-540-24688-6_86
URL : https://link.springer.com/content/pdf/10.1007%2F978-3-540-24688-6_86.pdf
Updating of finite element models using vibration tests, AIAA Journal, vol.5, issue.5, pp.1485-1491, 1994. ,
DOI : 10.1007/BF00532820
Identification strategy in the presence of corrupted measurements, Engineering Computations, vol.22, issue.5/6, pp.487-504, 2005. ,
DOI : 10.1115/1.3662552
URL : https://hal.archives-ouvertes.fr/hal-00022253
The large time increment method for the analysis of structures with non-linear behavior described by internal variables. Comptes rendus de l'académie des sciences, Serie II, vol.309, issue.11, p.10951099, 1989. ,
Bayesian system identification based on probability logic, Structural Control and Health Monitoring, vol.198, issue.7, pp.825-847, 2010. ,
DOI : 10.1007/978-94-015-7860-8_4
The use of updated robust reliability measures in stochastic dynamical systems, Computer Methods in Applied Mechanics and Engineering, vol.267, pp.825-847, 2010. ,
DOI : 10.1016/j.cma.2013.08.015
A novel Bayesian approach for structural model updating utilizing statistical modal information from multiple setups, Structural Safety, vol.52, pp.260-271, 2015. ,
DOI : 10.1016/j.strusafe.2014.06.004
Component mode synthesis techniques for finite element model updating, Computers & Structures, vol.126, pp.15-28, 2013. ,
DOI : 10.1016/j.compstruc.2012.10.018
Bayesian Identification of Elastic Constants in Multi-Directional Laminate from Moir?? Interferometry Displacement Fields, Experimental Mechanics, vol.42, issue.2, pp.635-648, 2013. ,
DOI : 10.1007/s00158-010-0493-y
URL : http://arxiv.org/pdf/1303.4611
An Offline/Online DDDAS Capability for Self-Aware Aerospace Vehicles Procedia, Computer Science, vol.18, 2013. ,
DOI : 10.1016/j.procs.2013.05.365
URL : https://doi.org/10.1016/j.procs.2013.05.365