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Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis
Andrea Manzoni, Alfio Quarteroni and Sandro Salsa Applied Mathematical Sciences, Optimal Control of Partial Differential Equations 207 167 (2021) https://doi.org/10.1007/978-3-030-77226-0_6
Optimal Control of Partial Differential Equations
Andrea Manzoni, Alfio Quarteroni and Sandro Salsa Applied Mathematical Sciences, Optimal Control of Partial Differential Equations 207 1 (2021) https://doi.org/10.1007/978-3-030-77226-0_1
A stabilized finite element method for inverse problems subject to the convection–diffusion equation. I: diffusion-dominated regime
A posteriori error estimators for stabilized finite element approximations of an optimal control problem
Alejandro Allendes, Enrique Otárola and Richard Rankin Computer Methods in Applied Mechanics and Engineering 340 147 (2018) https://doi.org/10.1016/j.cma.2018.05.036
A robust numerical method for a control problem involving singularly perturbed equations
Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms
Dirk Klindworth, Martin A. Grepl and Georg Vossen Computer Methods in Applied Mechanics and Engineering 209-212 144 (2012) https://doi.org/10.1016/j.cma.2011.10.010
Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
Dmitriy Leykekhman and Matthias Heinkenschloss SIAM Journal on Numerical Analysis 50(4) 2012 (2012) https://doi.org/10.1137/110826953
Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation
Spectral and High Order Methods for Partial Differential Equations
Loredana Gaudio and Alfio Quarteroni Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations 76 393 (2011) https://doi.org/10.1007/978-3-642-15337-2_37
hN-adaptive spectral element discretization of optimal control problems for environmental applications
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables
Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe and Danny C. Sorensen Computing and Visualization in Science 13(6) 249 (2010) https://doi.org/10.1007/s00791-010-0142-4
Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems