,
,
90 4.5 Application sur le problème de l'écoulement autour d'un cylindre ,
, , vol.105, p.81
110 5.2 Contrôle optimal réduit avec adaptation de la base réduite, p.113 ,
122 5.2.4 Application au contrôle de l'équation de Navier-Stokes, p.128 ,
, Contrôle optimal réduit en utilisant les algorithmes génétiques. .. 134 5.3.1 Principe des algorithmes génétiques
, , vol.144, p.109
,
Multiplier and gradient methods, Journal of Optimization Theory and Applications, vol.4, pp.303-320, 1969. ,
A method for nonlinear constraints in minimization problems, pp.283-298, 1969. ,
On some control problems in fluid mechanics, Theoretical and Computational Fluid Dynamics, vol.1, 1990. ,
An aerodynamic optimization method based on the inverse problem adjoint equations, Journal of Computational Physics, vol.173, 2001. ,
Local-in-time adjoint-based method for design optimization of unsteady flows, Journal of Computational Physics, vol.229, 2010. ,
A continuous adjoint method with objective function derivatives based on boundary integrals, for inviscid and viscous flows, Computers and Fluids, vol.36, 2007. ,
Optimisation Theorie et Algorithmes (Opitimization Theory and Algorithms), 1971. ,
, , 1994.
, Optimisation Numerique : Aspects theoriques et pratiques (Mathématiques et Applications), 1997.
Perturbation Analysis of Optimization Problems, Springer Series in Operations Research, 2000. ,
Analyse numérique et optimisation : Une introduction à la modélisation mathématique et à la simulation numérique, 2005. ,
Eléments d'analyse et d'algèbre (et de théorie des nombres). Ecole polytechnique, 2009. ,
, Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, 2011.
Introduction to Derivative-Free Optimization, MOS-SIAM Series on Optimization, 2009. ,
, Convex Analysis and Minimization Algorithms I : Fundamentals, vol.305, 1993.
Augmented Lagrangian methods : applications to the numerical solution of boundary-value problems, Studies in mathematics and its applications, vol.15, 1983. ,
Lagrange Multiplier Approach to Variational Problems and Applications, 2008. ,
, Constrained Optimization and Lagrange Multiplier Methods. ACADEMIC PRESS, INC, 1982.
, Perspectives in Flow Control and Optimization. Society for Industrial and Applied Mathematics, 2002.
Linear and Nonlinear Functional Analysis with Applications, 2013. ,
Proper orthogonal decomposition and its applications-part ii : Model reduction for MEMS dynamical analysis, Journal of Sound and Vibration, vol.256, 2002. ,
Three-dimensional transonic aeroelasticity using Proper orthogonal decomposition-based reduced-order models, Journal of Aircraft, vol.40, 2003. ,
Reduced-order modeling : new approaches for computational physics, Progress in Aerospace Sciences, vol.40, 2004. ,
Electro-mechanical impedance-based wireless structural health monitoring using PCA-Data compression and k-means Clustering Algorithms, Journal of Intelligent Material Systems and Structures, vol.19, 2007. ,
Active control of flexible structures using principal component analysis in the time domain, Journal of Sound and Vibration, vol.253, 2002. ,
Proper orthogonal decomposition and radial basis functions in material characterization based on instrumented indentation, Engineering Structures, vol.33, 2011. ,
Principal component analysis of a piezosensor array for damage localization, Structural Health Monitoring, vol.2, 2003. ,
Proper orthogonal decomposition based algorithm for detecting damage location and severity in composite beams, Mechanical Systems and Signal Processing, vol.46, 2011. ,
Application of Proper orthogonal decomposition to structural vibration analysis, Mechanical Systems and Signal Processing, vol.17, 2003. ,
Using adaptive Proper orthogonal decomposition to solve the reaction-diffusion equation, Applied Numerical Mathematics, vol.59, 2009. ,
The Structure of Inhomogeneous Turbulent Flows, Atmospheric turbulence and radio propagation, pp.166-178, 1967. ,
The dynamics of coherent structures in the wall region of a turbulent boundary layer, Journal of Fluid Mechanics, vol.192, pp.115-173, 1988. ,
Proper orthogonal decomposition and low-dimensional models for driven cavity flows, Physics of Fluids, vol.10, issue.7, pp.1685-1699, 1998. ,
Optimal flow control using a POD based Reduced-Order Model, Numerical Heat Transfer, Part B, vol.170, 2016. ,
Use of Proper orthogonal decomposition for reconstructing the 3D in-cylinder mean-flow field from PIV data, Comptes Rendus Mécanique, vol.335, issue.1, pp.42-47, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-02140548
Applying Proper orthogonal decomposition to the computation of particle dispersion in a two-dimensional ventilated cavity, Communications in Nonlinear Science and Numerical Simulation, vol.10, pp.907-920, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00312147
An adaptive ROM approach for solving transfer equations, vol.15, pp.589-605, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00312311
On investigation of particle dispersion by a POD approach, International Applied Mechanics, vol.44, pp.110-119, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00404055
Application of POD-based dynamical systems to dispersion and deposition of particles in turbulent channel flow, International Journal of Multiphase Flow, vol.58, pp.97-113, 2014. ,
Tackling FSI simulation for fiv problems in tube bundle systems with POD approach, ASME 2011 Pressure Vessels and Piping Conference, vol.4, pp.337-343, 2011. ,
Numerical study of fluid-structure interactions in tube bundles with multiphase-POD reducedorder approach, 11th Biennial Conference on Engineering Systems Design and Analysis, vol.2, p.137, 2012. ,
Mode interaction models for near-wall turbulence, Journal of Fluid Mechanics, vol.247, 1993. ,
Intermittent dynamics in simple models of the turbulent wall layer, Journal of Fluid Mechanics, vol.230, 1991. ,
On the relation between low-dimensional models and the dynamics of coherent structures in the turbulent wall layer, Theoretical and Computational Fluid Dynamics, vol.4, pp.255-269, 1993. ,
Development of an extended Proper orthogonal decomposition and its application to a time periodically forced plane mixing layer, Physics of Fluids A Fluid Dynamics, vol.1, 1989. ,
Real time measurements of optical disuniformity fields, Optics Communications, vol.54, 1985. ,
Estimating the number of degrees of freedom in spatially extended systems, Europhysics Letters), vol.14, 1991. ,
The Proper orthogonal decomposition of pressure fluctuations surrounding a turbulent jet, Journal of Fluid Mechanics, vol.340, 1997. ,
Low-dimensional characteristics of a transonic jet. part 1. Proper orthogonal decomposition, Journal of Fluid Mechanics, vol.612, 2008. ,
)] 19th aiaa, fluid dynamics, plasma dynamics, and lasers conference-development of large-eddy interaction model for inhomogeneous turbulent flows, american institute of aeronautics and astronautics 19th aiaa, fluid dynamics, plasma dynamics, 1987. ,
Characteristic-eddy decomposition of turbulence in a channel, Journal of Fluid Mechanics, vol.200, 1989. ,
Coherent structures and chaos : A model problem, Physics Letters A, vol.120, pp.211-214, 1987. ,
An eigenfunction approach to large scale transitional structures in jet flow, 1990. ,
Turbulent thermal convection in a finite domain : Part i. theory, Physics of Fluids A Fluid Dynamics, vol.2, 1990. ,
Proper orthogonal decomposition of the flow in geometries containing a narrow gap, Theoretical and Computational Fluid Dynamics, vol.23, 2009. ,
Proper orthogonal decomposition of turbulent flows for aeroacoustic and hydroacoustic applications, Journal of Sound and Vibration, vol.239, 2001. ,
Proper orthogonal decomposition and incompressible flow : An application to particle modeling, Computers and Fluids, vol.36, 2007. ,
Principal component analysis in linear systems : controllability, observability and model reduction, IEEE Trans. Autom. Contr, pp.17-32, 1981. ,
Dynamic mode decomposition of numerical and experimental data, Journal of Fluid Mechanics, vol.656, pp.5-28, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01020654
Centroidal voronoi tessellation-based reduced-order modeling of complex systems, SIAM Journal on Scientific Computing, vol.28, pp.459-484, 2006. ,
Necessary and sufficient conditions for balancing unstable systems, 1987. ,
All optimal Hankel-norm approximation of linear multivariable systems and their L ?-error bounds, Int. J. Control, pp.1115-1193, 1984. ,
Model reduction with balanced realizations : An error bound and a frequency weighted generalization, IEEE Conference on Decision and Control-Las, pp.127-132, 1984. ,
DOI : 10.1109/cdc.1984.272286
Turbulence and the dynamics of coherent structures : Part I, II and III, Quarterly of Applied Mathematics, pp.461-590, 1987. ,
Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition by, vol.79, 2011. ,
Recursive POD expansion for reaction-diffusion equation, Advanced Modeling and Simulation in Engineering Sciences, vol.3, 2016. ,
Model reduction using dynamic mode decomposition, Comptes Rendus Mécanique, vol.342, pp.410-416, 2014. ,
DOI : 10.1016/j.crme.2013.12.011
Flow structures around a highspeed train extracted using Proper orthogonal decomposition and dynamic mode decomposition, Computers and Fluids, vol.57, pp.87-97, 2012. ,
DOI : 10.1016/j.compfluid.2011.12.012
Analysis of unsteady behaviour in shockwave turbulent boundary layer interaction, Journal of Fluid Mechanics, vol.700, p.2012 ,
URL : https://hal.archives-ouvertes.fr/hal-00994470
Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations, International Journal of Heat and Fluid Flow, vol.32, pp.1098-1110, 2011. ,
Spectral analysis of nonlinear flows, Journal of Fluid Mechanics, vol.641, p.115, 2009. ,
Application of the dynamic mode decomposition to experimental data, Experiments in Fluids, vol.50, pp.1123-1130, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01025583
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods, Numerical Methods for Partial Differential Equations, vol.23, pp.923-948, 2007. ,
DOI : 10.1002/num.20249
URL : http://mox.polimi.it/it/progetti/pubblicazioni/quaderni/mox88.pdf
Reduced basis methods for Stokes equations in domains with non-affine parameter dependence, Computing and Visualization in Science, vol.12, pp.23-35, 2009. ,
DOI : 10.1007/s00791-006-0044-7
URL : http://doc.rero.ch/record/311040/files/791_2006_Article_44.pdf
Non-linear model reduction for the Navier-Stokes equations using residual deim method, Journal of Computational Physics, vol.263, pp.1-18, 2014. ,
DOI : 10.1016/j.jcp.2014.01.011
URL : http://www.csit.fsu.edu/%7Enavon/pubs/deim.pdf
An 'empirical interpolation' method : application to efficient reduced-basis discretization of partial differential equations, Comptes Rendus Mathematique, vol.339, pp.667-672, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00021702
The need for a pressure-term representation in empirical galerkin models of incompressible shear flows, Journal of Fluid Mechanics, vol.523, pp.339-365, 2005. ,
Enablers for robust POD models, Journal of Computational Physics, vol.228, pp.516-538, 2009. ,
DOI : 10.1016/j.jcp.2008.09.024
URL : https://hal.archives-ouvertes.fr/inria-00338203
The numerical solution of the Navier-Stokes equations for an incompressible fluid, Bulletin of the American Mathematical Society, vol.73, pp.928-932, 1967. ,
Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (i), Archive for Rational Mechanics and Analysis, vol.32, pp.135-153, 1969. ,
On the stability and extension of reduced-order galerkin models in incompressible flows, Theoretical and Computational Fluid Dynamics, vol.23, 2009. ,
POD-galerkin reduced order methods for cfd using finite volume discretisation : vortex shedding around a circular cylinder, Communications in Applied and Industrial Mathematics, vol.8, p.2017 ,
DOI : 10.1515/caim-2017-0011
URL : https://content.sciendo.com/downloadpdf/journals/caim/8/1/article-p210.pdf
Finite volume POD-galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations, Computers and Fluids, vol.2, 2018. ,
An optimal projection method for the reducedorder modeling of incompressible flows, Computer Methods in Applied Mechanics and Engineering, vol.200, pp.2507-2527, 2011. ,
A minimum residual projection to build coupled velocity-pressure POD-rom for incompressible Navier-Stokes equations, Communications in Nonlinear Science and Numerical Simulation, vol.22, pp.909-932, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01939673
A low-dimensional approach for the minimal flow unit, Journal of Fluid Mechanics, vol.362, pp.121-155, 1998. ,
Examination of large-scale structures in a turbulent plane mixing layer. part 2. dynamical systems model, Journal of Fluid Mechanics, vol.441, 2001. ,
A spectral viscosity method for correcting the longterm behavior of POD models, Journal of Computational Physics, vol.194, pp.92-116, 2004. ,
Kohärenten structuren une chaos beim laminair-turbulenten Grenzschichtumschlag, 1998. ,
Two stable POD-based approximations to the Navier-Stokes equations, Computing and Visualization in Science, vol.3, pp.61-66, 2000. ,
Stability properties of POD-galerkin approximations for the compressible Navier-Stokes equations, Theoretical and Computational Fluid Dynamics, vol.13, pp.377-396, 2000. ,
URL : https://hal.archives-ouvertes.fr/inria-00073091
Local improvements to reduced order approximations of optimal control problems governed by diffusion convection reaction equation, Computers and Mathematics with Applications, vol.70, pp.104-131, 2015. ,
Solving PDEs in Python : The FEniCS Tutorial I, 2017. ,
Reduced order modelling method via Proper orthogonal decomposition (POD) for flow around an oscillating cylinder, Journal of Fluids and Structures, vol.26, issue.2, pp.292-311, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00533622
Drag Minimization of the Cylinder Wake by Trust-Region Proper orthogonal decomposition, pp.309-324, 2007. ,
URL : https://hal.archives-ouvertes.fr/inria-00338822
A high-fidelity low-cost aerodynamic model using Proper orthogonal decomposition, International Journal for Numerical Methods in Fluids, vol.63, 2010. ,
An interpolation method for adapting reduced-order models and application to aeroelasticity, AIAA Journal, pp.1803-1813, 2008. ,
A method for interpolating on manifolds structural dynamics reduced-order models, International Journal for Numerical Methods in Engineering, vol.80, 2009. ,
, proceedings of the 1968 23rd acm national conference on-a two-dimensional interpolation function for irregularly-spaced data, pp.517-524, 1968.
The geometry of algorithms with orthogonality constraints, SIAM Journal on Matrix Analysis and Applications, vol.20, pp.303-353, 1998. ,
General relativity, 1984. ,
URL : https://hal.archives-ouvertes.fr/hal-02116509
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold, Linear Algebra and its Applications, vol.475, pp.200-239, 2015. ,
A Grassmannian approach to address view change problem in gait recognition, IEEE Transactions on Cybernetics, pp.1-14, 2016. ,
Bayesian and geometric subspace tracking, Advances in Applied Probability, vol.36, pp.43-56, 2004. ,
Intrinsic mean shift for clustering on Stiefel and Grassmann manifolds, 2009. ,
Graph embedding discriminant analysis on Grassmannian manifolds for improved image set matching, CVPR 2011, pp.2705-2712, 2011. ,
, Dictionary Learning on Grassmann Manifolds, pp.145-172, 2016.
Riemann geometry of Grassmann manifolds with a view on algorithmic computation, Acta Applicandae Mathematicae, vol.80, pp.199-220, 2004. ,
, Optimization Algorithms on Matrix Manifolds, 2007.
, Statistics on Special Manifolds, vol.174, 2002.
Grassmann discriminant analysis : A unifying view on subspace-based learning, Proceedings of the 25th International Conference on Machine Learning, ICML '08, pp.376-383, 2008. ,
Expanding the Family of Grassmannian Kernels : An Embedding Perspective, pp.408-423, 2014. ,
Low Rank Representation on Grassmann Manifolds, pp.81-96, 2015. ,
Affine invariance revisited, vol.2, pp.2087-2094, 2006. ,
Multiscale representations for manifold-valued data, Multiscale Modeling and Simulation, vol.4, pp.1201-1232, 2005. ,
An efficient particle filtering technique on the grassmann manifold, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.3838-3841, 2010. ,
On a multiscale computational strategy with time and space homogenization for structural mechanics, Multiscale Computational Mechanics for Materials and Structures, vol.192, pp.3061-3087, 2003. ,
Nonlinear computational structural mechanics : New approaches and nonincremental methods of calculation, 1999. ,
The latin multiscale computational method and the proper generalized decomposition, Multiscale Models and Mathematical Aspects in Solid and Fluid Mechanics, vol.199, issue.21, pp.1287-1296, 2010. ,
generalized spectral decomposition technique to solve a class of linear stochastic partial di erential equations, Computer Methods in Applied Mechanics and Engineering, vol.196, pp.521-4537, 2007. ,
Generalized spectral decomposition for stochastic nonlinear problems, Journal of Computational Physics, vol.228, pp.202-235, 2009. ,
A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids, Journal of Non-Newtonian Fluid Mechanics, vol.139, issue.3, pp.153-176, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01004909
On the simulation of kinetic theory models of complex fluids using the fokker-planck approach, Applied Rheology, vol.17, issue.2, pp.1-14, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00352442
On the deterministic solution of multidimensional parametric models using the proper generalized decomposition, Mathematics and Computers in Simulation, vol.81, issue.4, pp.791-810, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00704427
Proper general decomposition (PGD) for the resolution of Navier-Stokes equations, Journal of Computational Physics, vol.230, issue.4, pp.1387-1407, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01061383
Proper generalized decomposition method for incompressible flows in stream-vorticity formulation, European Journal of Computational Mechanics, vol.19, issue.5-7, pp.591-617, 2011. ,
Proper generalized decomposition method for incompressible Navier-Stokes equations with a spectral discretization, Applied Mathematics and Computation, vol.219, issue.15, pp.8145-8162, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01062396
Simulation of heat and mass transport in a square lid-driven cavity with proper generalized decomposition (pgd), Numerical Heat Transfer, Part B : Fundamentals, vol.63, issue.1, pp.18-43, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01207113
A priori space-time separated representation for the reduced order modeling of low reynolds number flows, Computer Methods in Applied Mechanics and Engineering, vol.274, pp.264-288, 2014. ,
The nanometric and micrometric scales of the structure and mechanics of materials revisited : An introduction to he challenges of fully deterministic numerical descriptions, International Journal for Multiscale Computational Engineering, vol.6, pp.191-213, 2008. ,
Advanced simulation of models defined in plate geometries : 3D solutions with 2d computational complexity, Computer Methods in Applied Mechanics and Engineering, pp.1-12, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01462825
The proper generalized decomposition (pgd) as a numerical procedure to solve 3D cracked plates in linear elastic fracture mechanics, International Journal of Solids and Structures, vol.50, issue.10, pp.1710-1720, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01007373
Separated representations of 3D elastic solutions in shell geometries, Advanced Modeling and Simulation in Engineering Sciences, vol.1, p.4, 2014. ,
Proper generalized decomposition based dynamic data-driven control of thermal processes, Computer Methods in Applied Mechanics and Engineering, issue.2, pp.29-41, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01728702
Pgd-based computational vademecum for efficient design, optimization and control, Archives of Computational Methods in Engineering, vol.20, pp.31-59, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01515083
A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications, Computer Methods in Applied Mechanics and Engineering, vol.317, pp.868-889, 2017. ,
Non-intrusive reduced order modelling of fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering, vol.303, 2016. ,
A galerkin-free model reduction approach for the Navier-Stokes equations, Journal of Computational Physics, vol.309, pp.148-163, 2016. ,
Comparison of two techniques for implementing the Proper orthogonal decomposition method in damage detection problems, Mathematical and Computer Modelling, vol.40, 2004. ,
Characterization of flow contributions to drag and lift of a circular cylinder using a volume expression of the fluid force, European Journal of Mechanics-B/Fluids, vol.30, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01289951
Optimal control of vortex shedding using low-order models. part ii-model-based control, International Journal for Numerical Methods in Engineering, vol.44, 1999. ,
Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model, Physics of Fluids, vol.17, issue.9, pp.97-101, 2005. ,
Reduced-order adaptive controllers for fluid flows using POD, Journal of Scientific Computing, vol.15, 2000. ,
Control of flow separation over a forward-facing step by model reduction, Computer Methods in Applied Mechanics and Engineering, vol.191, 2002. ,
DOI : 10.1016/s0045-7825(02)00395-x
Reduced-order controllers for control of flow past an airfoil, International Journal for Numerical Methods in Fluids, vol.50, 2006. ,
Optimal boundary feedback flow stabilization by model reduction, Computer Methods in Applied Mechanics and Engineering, vol.196, 2007. ,
DOI : 10.1016/j.cma.2006.11.026
Optimal flow control using a POD-based reduced-order model, Numerical Heat Transfer Part B Fundamentals, vol.06, pp.1-24, 2016. ,
DOI : 10.1080/10407790.2016.1173472
Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations, Mathematical and Computer Modelling, vol.33, 2001. ,
DOI : 10.1016/s0895-7177(00)00225-9
URL : https://doi.org/10.1016/s0895-7177(00)00225-9
Control of the burgers equation by a reduced-order approach using Proper orthogonal decomposition, Journal of Optimization Theory and Applications, vol.102, p.1999 ,
POD-based feedback control of the burgers equation by solving the evolutionary hjb equation, Computers and Mathematics with Applications, vol.49, 2005. ,
Reduced order output feedback control design for pde systems using Proper orthogonal decomposition and nonlinear semidefinite programming, Linear Algebra and its Applications, vol.415, 2006. ,
DOI : 10.1016/j.laa.2004.12.024
URL : https://doi.org/10.1016/j.laa.2004.12.024
A trust-region framework for constrained optimization using reduced order modeling, Optimization and Engineering, vol.14, p.2013 ,
DOI : 10.1007/s11081-011-9164-0
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, pp.7813-7840, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00368500
A fast and robust sub-optimal control approach using reduced order model adaptation techniques, Applied Mathematics and Computation, vol.333, pp.416-434, 2018. ,
DOI : 10.1016/j.amc.2018.03.091
URL : https://hal.archives-ouvertes.fr/hal-01939171
Adaptation in Natural and Artificial Systems, 1975. ,
DOI : 10.7551/mitpress/1090.001.0001
A comparative analysis of selection schemes used in genetic algorithms, of Foundations of Genetic Algorithms, vol.1, pp.69-93, 1991. ,
Global optimization algorithms-theory and application, vol.1, 2009. ,
Smolyak's algorithm for weighted l 1-approximation of multivariate functions with boundedrth mixed derivatives over R d, Numerical Algorithms, vol.40, 2005. ,
Thèse : Interpolation sur les variétés Grassmanniennes et applications à la réduction de modèles en mécanique, 2018. ,