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Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery
Tim Keil, Hendrik Kleikamp, Rolf J. Lorentzen, Micheal B. Oguntola and Mario Ohlberger Advances in Computational Mathematics 48(6) (2022) https://doi.org/10.1007/s10444-022-09981-z
Local a posteriori error estimates for boundary control problems governed by nonlinear parabolic equations
A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization
Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler and Stefan Volkwein ESAIM: Mathematical Modelling and Numerical Analysis 55(3) 1239 (2021) https://doi.org/10.1051/m2an/2021019
Reduced order optimal control of the convective FitzHugh–Nagumo equations
An indirect shooting method based on the POD/DEIM technique for distributed optimal control of the wave equation
Z. Sabeh, Mostafa Shamsi and Ionel Michael Navon International Journal for Numerical Methods in Fluids 86(7) 433 (2018) https://doi.org/10.1002/fld.4460
A posteriori snapshot location for POD in optimal control of linear parabolic equations
Alessandro Alla, Carmen Grässle and Michael Hinze ESAIM: Mathematical Modelling and Numerical Analysis 52(5) 1847 (2018) https://doi.org/10.1051/m2an/2018009
Optimal control of convective FitzHugh–Nagumo equation
Murat Uzunca, Tuğba Küçükseyhan, Hamdullah Yücel and Bülent Karasözen Computers & Mathematics with Applications 73(9) 2151 (2017) https://doi.org/10.1016/j.camwa.2017.02.028
Numerical Mathematics and Advanced Applications ENUMATH 2015
Laura Iapichino, Stefan Trenz and Stefan Volkwein Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2015 112 389 (2016) https://doi.org/10.1007/978-3-319-39929-4_37
POD-Based Bicriterial Optimal Control by the Reference Point Method
Peter Benner, Ekkehard Sachs and Stefan Volkwein International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 303 (2014) https://doi.org/10.1007/978-3-319-05083-6_19
On the optimal control of the Schlögl-model
Rico Buchholz, Harald Engel, Eileen Kammann and Fredi Tröltzsch Computational Optimization and Applications 56(1) 153 (2013) https://doi.org/10.1007/s10589-013-9550-y
Control and Optimization with PDE Constraints
Alina Studinger and Stefan Volkwein International Series of Numerical Mathematics, Control and Optimization with PDE Constraints 164 137 (2013) https://doi.org/10.1007/978-3-0348-0631-2_8