A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD
ESAIM: M2AN, 47 2 (2013) 555-581
Published online: 2013-01-21
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE
Fabian Hoppe and Ira NeitzelComputational Optimization and Applications 87 (3) 755 (2024)
https://doi.org/10.1007/s10589-021-00299-y
A novel unified variational finite difference (VFD) solution method for optimal control problems
Amir Norouzzadeh, Nader Nariman-zadeh and Reza AnsariMeasurement and Control (2024)
https://doi.org/10.1177/00202940241269618
New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann–Neumann Algorithms
Martin J. Gander and Liu-Di LuSIAM Journal on Numerical Analysis 62 (6) 2588 (2024)
https://doi.org/10.1137/24M1634424
Finite element error analysis of affine optimal control problems
Nicolai JorkESAIM: Control, Optimisation and Calculus of Variations 30 60 (2024)
https://doi.org/10.1051/cocv/2024048
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 OhlbergerAdvances 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
Ram Manohar and Rajen Kumar SinhaJournal of Computational and Applied Mathematics 409 114146 (2022)
https://doi.org/10.1016/j.cam.2022.114146
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 VolkweinESAIM: 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
Bülent Karasözen, Murat Uzunca and Tuğba KüçükseyhanComputers & Mathematics with Applications 79 (4) 982 (2020)
https://doi.org/10.1016/j.camwa.2019.08.009
Introduction to Linear Control Systems
Yazdan Bavafa-ToosiIntroduction to Linear Control Systems 129 (2019)
https://doi.org/10.1016/B978-0-12-812748-3.00002-1
Certified Reduced Basis Methods for Parametrized Elliptic Optimal Control Problems with Distributed Controls
Mark Kärcher, Zoi Tokoutsi, Martin A. Grepl and Karen VeroyJournal of Scientific Computing 75 (1) 276 (2018)
https://doi.org/10.1007/s10915-017-0539-z
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 NavonInternational 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 HinzeESAIM: Mathematical Modelling and Numerical Analysis 52 (5) 1847 (2018)
https://doi.org/10.1051/m2an/2018009
Model Reduction of Parametrized Systems
Martin Gubisch, Ira Neitzel and Stefan VolkweinMS&A, Model Reduction of Parametrized Systems 17 213 (2017)
https://doi.org/10.1007/978-3-319-58786-8_14
POD-based error control for reduced-order bicriterial PDE-constrained optimization
Stefan Banholzer, Dennis Beermann and Stefan VolkweinAnnual Reviews in Control 44 226 (2017)
https://doi.org/10.1016/j.arcontrol.2017.09.004
Efficient estimation of cardiac conductivities via POD-DEIM model order reduction
Huanhuan Yang and Alessandro VenezianiApplied Numerical Mathematics 115 180 (2017)
https://doi.org/10.1016/j.apnum.2017.01.006
Optimal control of convective FitzHugh–Nagumo equation
Murat Uzunca, Tuğba Küçükseyhan, Hamdullah Yücel and Bülent KarasözenComputers & 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 VolkweinLecture 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
Stefan Banholzer, Dennis Beermann and Stefan VolkweinIFAC-PapersOnLine 49 (8) 210 (2016)
https://doi.org/10.1016/j.ifacol.2016.07.443
POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation
R. Ştefănescu, A. Sandu and I.M. NavonJournal of Computational Physics 295 569 (2015)
https://doi.org/10.1016/j.jcp.2015.04.030
Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling
Oliver Lass and Stefan VolkweinComputational Optimization and Applications 62 (1) 217 (2015)
https://doi.org/10.1007/s10589-015-9734-8
Second Order Optimality Conditions and Their Role in PDE Control
Eduardo Casas and Fredi TröltzschJahresbericht der Deutschen Mathematiker-Vereinigung 117 (1) 3 (2015)
https://doi.org/10.1365/s13291-014-0109-3
Trends in PDE Constrained Optimization
Peter Benner, Ekkehard Sachs and Stefan VolkweinInternational 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 TröltzschComputational 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 VolkweinInternational Series of Numerical Mathematics, Control and Optimization with PDE Constraints 164 137 (2013)
https://doi.org/10.1007/978-3-0348-0631-2_8