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Geometric Partial Differential Equations - Part II
Michael Hintermüller and Tobias Keil Handbook of Numerical Analysis, Geometric Partial Differential Equations - Part II 22 213 (2021) https://doi.org/10.1016/bs.hna.2020.10.003
Goal–oriented a posteriori error estimation for Dirichlet boundary control problems
A Posteriori Error Estimates for a Distributed Optimal Control Problem of the Stationary Navier--Stokes Equations
Alejandro Allendes, Francisco Fuica, Enrique Otarola and Daniel Quero SIAM Journal on Control and Optimization 59(4) 2898 (2021) https://doi.org/10.1137/20M1329792
An adaptive finite element method for the sparse optimal control of fractional diffusion
An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations
Alejandro Allendes, Francisco Fuica, Enrique Otárola and Daniel Quero SIAM Journal on Scientific Computing 41(5) A2967 (2019) https://doi.org/10.1137/18M1222363
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
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems
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
Kristina Kohls, Kunibert G. Siebert and Arnd Rösch International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 403 (2014) https://doi.org/10.1007/978-3-319-05083-6_25
An adaptive finite element method in $L^2$-TV-based image denoising
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
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
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
Constrained Optimization and Optimal Control for Partial Differential Equations
Kristina Kohls, Arnd Rösch and Kunibert G. Siebert International Series of Numerical Mathematics, Constrained Optimization and Optimal Control for Partial Differential Equations 160 431 (2012) https://doi.org/10.1007/978-3-0348-0133-1_22
Constrained Optimization and Optimal Control for Partial Differential Equations
Rolf Rannacher, Boris Vexler and Winnifried Wollner International Series of Numerical Mathematics, Constrained Optimization and Optimal Control for Partial Differential Equations 160 349 (2012) https://doi.org/10.1007/978-3-0348-0133-1_19
A-posteriori error estimates for optimal control problems with state and control constraints
Applied and Numerical Partial Differential Equations
Michael Hintermüller and Ronald H. W. Hoppe Computational Methods in Applied Sciences, Applied and Numerical Partial Differential Equations 15 97 (2010) https://doi.org/10.1007/978-90-481-3239-3_8
Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems
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