A time-adaptive pod method for optimal control problems, Proceedings of the 1st ,
, IFAC Workshop on Control of Systems Modeled by Partial Differential Equations, p.456, 2013.
An adaptive pod approximation method for the control of advection-457 diffusion equations, Control and Optimization with PDE Constraints, p.458, 2013. ,
Trust-region proper orthogonal decomposition for flow 459 control, DTIC Document, 2000. ,
Generalized matrix versions of the cauchy-schwarz and kantorovich 461 inequalities, Aequationes Mathematicae, vol.41, issue.1, pp.103-110, 1991. ,
A class of iterative methods for solving saddle 463 point problems, Numer. Math, vol.56, issue.7, pp.645-666, 1990. ,
Two-point step size gradient methods, IMA Journal of Numer-465 ical Analysis, vol.8, issue.1, pp.141-148, 1988. ,
On the Dirichlet boundary controllability of the one-467 dimensional heat equation: semi-analytical calculations and ill-posedness degree, Inverse Problems, vol.19, issue.5, p.55012, 2011. ,
Domain decomposition: parallel multilevel methods for elliptic partial 470 differential equations, 2004. ,
An optimal control approach to optical flow computation, Internat. J ,
, ICFD Conference on Numerical Methods for Fluid Dynamics 473, vol.40, pp.231-240, 2001.
A line search exact penalty method using steering 475 rules, Math. Program, vol.133, issue.1-2, pp.39-73, 2012. ,
On exact and approximate boundary controllabilities for the heat 477 equation: a numerical approach, J. Optim. Theory Appl, vol.82, issue.3, pp.429-484, 1994. ,
Méthode générale pour la résolution des systèmes d'équations simultanées, Sciences XXV, S'erie A, issue.25, pp.536-538, 1847. ,
Instantaneous control of backward-facing step flows ,
, Numer. Math, vol.31, issue.2, pp.133-158, 1999.
Feedback control for unsteady flow and its 483 application to the stochastic Burgers equation, J. Fluid Mech, vol.253, pp.509-543, 1993. ,
Introductionà l'analyse numérique matricielle età l'optimisation, Collection, vol.485 ,
, Mathématiques Appliquées pour la Maîtrise
, , 1982.
Global steady-state controllability of one-dimensional semilinear 488 heat equations, SIAM J. Control Optim, vol.43, issue.2, pp.549-569, 2004. ,
The wave equation: Control and numerics, Control of Partial, p.490 ,
URL : https://hal.archives-ouvertes.fr/hal-00991988
, Differential Equations, p.491, 2012.
, Preconditioning Methods: Theory and Applications, 1983.
Infinite-dimensional optimization and control theory, of Encyclopedia of Mathe-494 matics and its Applications, vol.62, 1999. ,
Optimal control of vortex shedding using low-order models. I ,
, Open-loop model development, Internat. J. Numer. Methods Engrg, vol.44, issue.7, pp.945-972, 1999.
Optimal control of vortex shedding using low-order models ,
, Model-based control. Internat. J. Numer. Methods Engrg, vol.44, issue.7, pp.973-990, 1999.
A nonmonotone line search technique for newton's 500 method, SIAM Journal on Numerical Analysis, vol.23, issue.4, pp.707-716, 1986. ,
Parallel preconditioning with sparse approximate inverses, SIAM Jour-502 nal on Scientific Computing, vol.18, pp.838-853, 1997. ,
POD a-posteriori error analysis for optimal control problems with 504 mixed control-state constraints, Comput. Optim. Appl, vol.58, issue.3, pp.619-644, 2014. ,
A time-domain decomposition iterative method for the solution of distributed linear 506 quadratic optimal control problems, J. Comput. Appl. Math, vol.173, issue.1, pp.169-198, 2005. ,
Suboptimal control strategies for backward facing step ows, Proceedings of 15th ,
, IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, vol.3, pp.53-58, 1997.
Optimal and instantaneous control of the instationary navier-stokes equations, p.511, 2000. ,
Three control methods for time-dependent fluid flow. Flow Turbul. Com-512 bust, vol.65, pp.273-298, 2000. ,
A reduced basis method for control problems governed by PDEs, Control 514 and estimation of distributed parameter systems, vol.126, pp.153-168, 1996. ,
Reduced basis method for optimal control of unsteady viscous flows, Int. J ,
, Comput. Fluid Dyn, vol.15, issue.2, pp.97-113, 2001.
Functional analysis and applied mathematics, p.519 ,
HJB-POD-based feedback design for the optimal control of evolution 521 problems, SIAM J. Appl. Dyn. Syst, vol.3, issue.4, pp.701-722, 2004. ,
Time-domain decomposition of optimal control problems for the wave 523 equation, Systems Control Lett, vol.48, issue.3-4, p.524, 2003. ,
Control theory for partial differential equations: continuous and ap-525 proximation theories. I-II, 75 of Encyclopedia of Mathematics and its Applications. Cambridge, vol.47 ,
, Abstract hyperbolic-like systems over a finite time horizon, 2000.
Suboptimal control of turbulent channel flow for drag 528 reduction, Journal of Fluid Mechanics, vol.358, pp.245-258, 1998. ,
A"parareal"in time discretization of pde's. Comptes Rendus de 530 l, Academie des Sciences Series I Mathematics, vol.332, issue.7, pp.661-668, 2001. ,
Optimal control of systems governed by partial differential equations, p.532 ,
Die Grundlehren der mathematischen Wissenschaften, vol.170, 1971. ,
Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, Recherches en Mathématiques Appliquées, vol.535, issue.2, pp.8-9 ,
, , 1988.
, Contrôlabilité exacte
Monotonic parareal control for quantum systems, SIAM Journal on 539 Numerical Analysis, vol.45, issue.6, pp.2468-2482, 2007. ,
Parareal in time intermediate targets methods 541 for optimal control problems, Control and Optimization with PDE Constraints, vol.542 ,
, Mathematics, pp.79-92, 2013.
A parareal in time procedure for the control of partial differential equa-545 tions, C. R. Math. Acad. Sci, vol.335, issue.4, pp.387-392, 2002. ,
Incomplete lu preconditioning with the multilevel fast multipole algorithm 547 for electromagnetic scattering, SIAM Journal on Scientific Computing, vol.29, issue.4, p.548, 2007. ,
Suboptimal control of transient nonisothermal viscoelastic fluid flows. 549 Physics of Fluids (1994-present), vol.13, pp.2478-2491, 2001. ,
Regularity issues for the null-controllability of the linear 1-d heat equation ,
, Systems Control Lett, vol.60, issue.6, pp.406-413, 2011.
, , 2013.
Domain decomposition methods for partial differential equations, Nu, p.554 ,
, merical Mathematics and Scientific Computation. The Clarendon Press, vol.555, 1999.
Proper orthogonal decomposition in optimal control of fluids, vol.99, 1999. ,
All-at-once preconditioning in PDE-constrained optimization ,
, Kybernetika (Prague), vol.46, issue.2, pp.341-360, 2010.
Mathematical and computational techniques for multilevel adaptive methods, SIAM, p.561, 1993. ,
Iterative methods for sparse linear systems, 2003. ,
Scilab: Le logiciel open source gratuit de calcul numrique, Scilab Enterprises, p.563 ,
, , 2012.
Fast iterative solution of stabilised Stokes systems. II. Using general 565 block preconditioners, SIAM J. Numer. Anal, vol.31, issue.5, pp.1352-1367, 1994. ,
All-at-once solution of time-dependent Stokes control, J. Comput. Phys, vol.567, pp.498-515, 2013. ,
Domain decomposition methods: algorithms and theory, vol.3 ,
, , 2005.
Optimal control of partial differential equations, Graduate Studies in Mathe, vol.112, p.571 ,
, Theory, methods and applications, Translated 572 from the 2005 German original by Jürgen Sprekels, 2010.
Generalized sqp-methods with ?parareal? time-domain decomposition for time-dependent 574 ,
, Real-time PDE-constrained optimization, vol.3, pp.145-168, 2007.
Fast iterative solution of stabilised Stokes systems. I. Using simple 577 diagonal preconditioners, SIAM J. Numer. Anal, vol.30, issue.3, pp.630-649, 1993. ,
The Barzilai and Borwein gradient method with nonmonotone line search 579 for nonsmooth convex optimization problems, Math. Model. Anal, vol.17, issue.2, pp.203-216, 2012. ,