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A Posteriori Error Estimates for a Distributed Optimal Control Problem of the Stationary Navier--Stokes Equations
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An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations
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Equivalent a posteriori error estimates for elliptic optimal control problems with L1-control cost
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
An a posteriori error analysis for an optimal control problem involving the fractional Laplacian
Michael Hintermüller, Michael Hinze, Christian Kahle and Tobias Keil Advances in Mathematical Fluid Mechanics, Transport Processes at Fluidic Interfaces 305 (2017) https://doi.org/10.1007/978-3-319-56602-3_13
A C0 interior penalty method for the Dirichlet control problem governed by biharmonic operator
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An adaptive finite element method in $L^2$-TV-based image denoising
A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
Kristina Kohls, Arnd Rösch and Kunibert G. Siebert SIAM Journal on Control and Optimization 52(3) 1832 (2014) https://doi.org/10.1137/130909251
Optimization with PDE Constraints
A. Gaevskaya, M. Hintermüller, R. H. W. Hoppe and C. Löbhard Lecture Notes in Computational Science and Engineering, Optimization with PDE Constraints 101 95 (2014) https://doi.org/10.1007/978-3-319-08025-3_4
One-shot methods in function space for PDE-constrained optimal control problems
Mimetic finite differences for nonlinear and control problems
P. F. Antonietti, L. Beirão da Veiga, N. Bigoni and M. Verani Mathematical Models and Methods in Applied Sciences 24(08) 1457 (2014) https://doi.org/10.1142/S0218202514400016
Accuracy Verification Methods
Olli Mali, Pekka Neittaanmäki and Sergey Repin Computational Methods in Applied Sciences, Accuracy Verification Methods 32 205 (2014) https://doi.org/10.1007/978-94-007-7581-7_6
Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints
Constrained Optimization and Optimal Control for Partial Differential Equations
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Constrained Optimization and Optimal Control for Partial Differential Equations
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Constrained Optimization and Optimal Control for Partial Differential Equations
Dominik Meidner and Boris Vexler International Series of Numerical Mathematics, Constrained Optimization and Optimal Control for Partial Differential Equations 160 319 (2012) https://doi.org/10.1007/978-3-0348-0133-1_18
A-posteriori error estimates for optimal control problems with state and control constraints
A. Gaevskaya, Y. Iliash, M. Kieweg and R. H. W. Hoppe International Series of Numerical Mathematics, Control of Coupled Partial Differential Equations 155 47 (2007) https://doi.org/10.1007/978-3-7643-7721-2_3