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Author ID: volkwein.stefan Recent zbMATH articles by "Volkwein, Stefan"
Published as: Volkwein, Stefan; Volkwein, S.
External Links: MGP
all top 5

Co-Authors

14 single-authored
9 Mechelli, Luca
8 Kunisch, Karl
4 Banholzer, Stefan
4 Bernreuther, Marco
4 Hinze, Michael
4 Kahlbacher, Martin
4 Lass, Oliver
4 Peitz, Sebastian
3 Dellnitz, Michael
3 Gebken, Bennet
3 Hintermüller, Michael
3 Iapichino, Laura
3 Jäkle, Christian
3 Keil, Tim
3 Ohlberger, Mario
3 Sachs, Ekkehard W.
3 Tröltzsch, Fredi
3 Urban, Karsten
2 Alla, Alessandro
2 Azmi, Behzad
2 Beermann, Dennis
2 Borzì, Alfio
2 Diwoky, Franz
2 Falcone, Maurizio
2 Fuertinger, Doris H.
2 Grüne, Lars
2 Gubisch, Martin
2 Herzog, Roland
2 Hömberg, Dietmar
2 Kappel, Franz
2 Kotanko, Peter
2 Leibfritz, Friedemann
2 Link, Moritz
2 Pirkelmann, Simon
2 Reichle, Lena
2 Rohleff, Jan
2 Schindler, Felix
2 Sonntag, Konstantin
2 Tonn, Timo
2 Weiser, Martin
2 Wesche, Andrea
1 Andrej, Julian
1 Bachmann, Freya
1 Bartsch, Jan
1 Benner, Peter
1 Casper, Sabrina
1 Ciaramella, Gabriele
1 Denk, Robert
1 Düring, Bertram
1 Eggen, Carl
1 Fabrini, Giulia
1 Frei, Stefan
1 Gänzler, Tobias
1 Gräßle, Carmen
1 Huynh, Thanh-Van
1 Jehle, Jonas Siegfried
1 Jüngel, Ansgar
1 Kaltenbacher, Barbara
1 Kammann, Eileen
1 Kartmann, Michael
1 Keiper, Winfried
1 Kopacka, Ian
1 Lu, Jianjie
1 Makarov, Eugen
1 Mancini, Roberta
1 Meurer, Thomas
1 Milde, Anja
1 Neitzel, Ira
1 Petrocchi, Andrea
1 Posch, Christoph
1 Pozzi, Andrea
1 Raimondo, Davide Martino
1 Reichle, Jan
1 Rogg, S.
1 Salomon, Julien
1 Scharrer, G.
1 Spasov, Yulian
1 Stephan, Paul
1 Studinger, Alina
1 Trenz, Stefan
1 Ulbrich, Stefan
1 Unterrreiter, A.
1 von Winckel, Gregory
1 Vossen, Georg
1 Xie, Lei
1 Zeeb, Oliver
all top 5

Serials

9 Computational Optimization and Applications
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 SIAM Journal on Control and Optimization
4 Optimization Methods & Software
3 Journal of Optimization Theory and Applications
3 SIAM Journal on Scientific Computing
2 Control and Cybernetics
2 SIAM Journal on Numerical Analysis
2 Advances in Computational Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Mathematical and Computer Modelling of Dynamical Systems
2 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Computers & Mathematics with Applications
1 International Journal for Numerical Methods in Fluids
1 Journal of Mathematical Biology
1 Journal of Computational and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 COMPEL
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 Journal of Global Optimization
1 Linear Algebra and its Applications
1 SIAM Review
1 Grazer Mathematische Berichte
1 Numerical Linear Algebra with Applications
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Discussiones Mathematicae. Differential Inclusions, Control and Optimization
1 SIAM Journal on Applied Dynamical Systems
1 Communications in Mathematical Sciences
1 GAMM-Mitteilungen
1 Numerical Algebra, Control and Optimization
1 Mathematical Control and Related Fields
1 Pure and Applied Functional Analysis

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 1,475 times in 803 Documents Cited by Year
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
247
2002
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
236
2001
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. Zbl 0949.93039
Kunisch, K.; Volkwein, S.
142
1999
Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. Zbl 1079.65533
Hinze, Michael; Volkwein, Stefan
82
2005
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
55
2008
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
49
2004
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
47
2009
Optimal control of a phase-field model using proper orthogonal decomposition. Zbl 1007.49019
Volkwein, S.
35
2001
Analysis of instantaneous control for the Burgers equation. Zbl 1022.49001
Hinze, M.; Volkwein, S.
34
2002
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
32
2010
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Zbl 1191.49040
Hinze, M.; Volkwein, S.
31
2008
Model order reduction for PDE constrained optimization. Zbl 1327.49043
Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan
26
2014
Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation. Zbl 0974.49020
Volkwein, S.
22
2000
Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems. Zbl 1156.35020
Kahlbacher, Martin; Volkwein, Stefan
22
2007
Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition. Zbl 1044.49028
Hömberg, D.; Volkwein, S.
20
2003
POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011
Sachs, Ekkehard W.; Volkwein, Stefan
19
2010
The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035
Tröltzsch, Fredi; Volkwein, Stefan
17
2001
Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025
Alla, A.; Falcone, M.; Volkwein, S.
17
2017
A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system. Zbl 1090.49024
Griesse, R.; Volkwein, S.
16
2005
A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD. Zbl 1282.49021
Kammann, Eileen; Tröltzsch, Fredi; Volkwein, Stefan
16
2013
Distributed control problems for the Burgers equation. Zbl 0976.49001
Volkwein, S.
15
2001
Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem. Zbl 1302.49045
Tonn, Timo; Urban, K.; Volkwein, S.
15
2011
Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming. Zbl 1149.90183
Leibfritz, F.; Volkwein, S.
13
2006
Multiobjective PDE-constrained optimization using the reduced-basis method. Zbl 1386.35068
Iapichino, L.; Ulbrich, S.; Volkwein, Stefan
13
2017
POD Galerkin schemes for nonlinear elliptic-parabolic systems. Zbl 1272.49060
Lass, O.; Volkwein, S.
13
2013
Formulation and numerical solution of finite-level quantum optimal control problems. Zbl 1143.65048
Borzì, A.; Salomon, J.; Volkwein, S.
11
2008
A globalized Newton method for the accurate solution of a dipole quantum control problem. Zbl 1206.35211
Von Winckel, G.; Borzì, A.; Volkwein, S.
10
2009
A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 1527.90221
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan
9
2021
Mesh-independence for an augmented Lagrangian-SQP method in Hilbert spaces. Zbl 0945.49024
Volkwein, S.
8
2000
Lagrange-SQP techniques for the control constrained optimal boundary control for the Burgers equation. Zbl 1077.49024
Volkwein, S.
8
2003
Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016
Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan
8
2004
POD a-posteriori error analysis for optimal control problems with mixed control-state constraints. Zbl 1302.49039
Gubisch, Martin; Volkwein, Stefan
8
2014
Greedy sampling using nonlinear optimization. Zbl 1322.65070
Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver
8
2014
Optimal and suboptimal control of partial differential equations: Augmented Lagrange-SQP methods and reduced-order modeling with proper orthogonal decomposition. Zbl 1005.49029
Volkwein, Stefan
8
2001
POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems. Zbl 1272.49059
Kahlbacher, Martin; Volkwein, Stefan
8
2012
Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system. Zbl 1104.49033
Griesse, Roland; Volkwein, Stefan
7
2006
Reduced-order multiobjective optimal control of semilinear parabolic problems. Zbl 1352.65166
Iapichino, Laura; Trenz, Stefan; Volkwein, Stefan
7
2016
Second-order conditions for boundary control problems of the Burgers equation. Zbl 1001.93033
Volkwein, Stefan
7
2001
Numerical analysis of POD a-posteriori error estimation for optimal control. Zbl 1275.49050
Studinger, Alina; Volkwein, Stefan
7
2013
Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition. Zbl 1418.65165
Beermann, Dennis; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan
7
2018
The reduced basis method applied to transport equations of a lithium-ion battery. Zbl 1358.78076
Volkwein, Stefan; Wesche, Andrea
6
2013
Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. Zbl 1216.49006
Tonn, Timo; Urban, Karsten; Volkwein, Stefan
5
2010
Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling. Zbl 1342.49055
Lass, Oliver; Volkwein, Stefan
5
2015
Affine invariant convergence analysis for inexact augmented Lagrangian-SQP methods. Zbl 1029.49026
Volkwein, S.; Weiser, M.
5
2002
POD-based economic model predictive control for heat-convection phenomena. Zbl 1425.93133
Mechelli, Luca; Volkwein, Stefan
5
2018
An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 1510.90268
Banholzer, Stefan; Keil, Tim; Ohlberger, Mario; Mechelli, Luca; Schindler, Felix; Volkwein, Stefan
5
2022
Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Zbl 1402.65010
4
2018
Nonlinear boundary control for the heat equation utilizing proper orthogonal decomposition. Zbl 0999.49019
Diwoky, Franz; Volkwein, Stefan
4
2001
Nonlinear conjugate gradient methods for the optimal control of laser surface hardening. Zbl 1062.49034
Volkwein, Stefan
4
2004
Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location. Zbl 1302.49040
Lass, Oliver; Volkwein, Stefan
4
2014
Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. Zbl 1329.93072
Alla, Alessandro; Volkwein, Stefan
4
2015
Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach. Zbl 1430.92039
Rogg, S.; Fuertinger, D. H.; Volkwein, S.; Kappel, F.; Kotanko, P.
4
2019
Coupling MPC and HJB for the computation of POD-based feedback laws. Zbl 07136779
Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan
4
2018
Admittance identification from point-wise sound pressure measurements using reduced-order modelling. Zbl 1205.49032
Volkwein, S.
4
2010
Optimal control of the stationary quantum drift-diffusion model. Zbl 1152.35096
Unterrreiter, A.; Volkwein, S.
3
2007
Numerical feedback controller design for PDE systems using model reduction: techniques and case studies. Zbl 1226.93069
Leibfritz, Friedemann; Volkwein, Stefan
3
2007
A-posteriori error estimation of discrete POD models for PDE-constrained optimal control. Zbl 06861101
Gubisch, Martin; Neitzel, Ira; Volkwein, Stefan
3
2017
Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1027.49027
Sachs, E.; Volkwein, S.
3
2002
Estimation of regularization parameters in elliptic optimal control problems by POD model reduction. Zbl 1189.93036
Kahlbacher, Martin; Volkwein, Stefan
3
2009
Estimation of diffusion coefficients in a scalar Ginzburg-Landau equation by using model reduction. Zbl 1157.65473
Kahlbacher, M.; Volkwein, S.
3
2008
An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction. Zbl 1313.78032
Mancini, Roberta; Volkwein, Stefan
3
2013
Optimality system POD and a-posteriori error analysis for linear-quadratic problems. Zbl 1318.49067
Volkwein, Stefan
3
2011
Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems. Zbl 1254.49018
Vossen, Georg; Volkwein, Stefan
3
2012
POD-based mixed-integer optimal control of the heat equation. Zbl 1430.49023
Bachmann, Freya; Beermann, Dennis; Lu, Jianjie; Volkwein, Stefan
3
2019
POD-based multiobjective optimal control of time-variant heat phenomena. Zbl 1425.90145
Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan
3
2018
POD-based economic optimal control of heat-convection phenomena. Zbl 1416.49026
Mechelli, Luca; Volkwein, Stefan
3
2018
Fast solution techniques in constrained optimal boundary control of the semilinear heat equation. Zbl 1239.49039
Hintermüller, M.; Volkwein, S.; Diwoky, F.
2
2007
Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027
Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan
2
2009
Augmented Lagrangian-SQP techniques and their approximations. Zbl 0913.49018
Kunisch, K.; Volkwein, S.
2
1997
Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE. Zbl 1490.35153
Bernreuther, Marco; Müller, Georg; Volkwein, Stefan
2
2022
Model order reduction by proper orthogonal decomposition. Zbl 1467.35021
Gräßle, Carmen; Hinze, Michael; Volkwein, Stefan
2
2021
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. Zbl 1471.93084
Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan
2
2021
SQP methods for parameter identification problems arising in hyperthermia. Zbl 1113.65067
Gänzler, T.; Volkwein, S.; Weiser, M.
1
2006
Sequential quadratic programming method for volatility estimation in option pricing. Zbl 1159.91389
Düring, B.; Jüngel, A.; Volkwein, S.
1
2009
Condition number of the stiffness matrix arising in POD Galerkin schemes for dynamical systems. Zbl 1354.65199
Volkwein, Stefan
1
2004
Laser surface hardening using proper orthogonal decomposition for a threedimensional example. Zbl 1354.74055
Hömberg, Dietmar; Volkwein, Stefan
1
2003
Mesh-independence of Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1079.90166
Volkwein, S.
1
2002
Boundary control of the Burgers equation: Optimality conditions and reduced-order approach. Zbl 1024.49024
Volkwein, Stefan
1
2002
POD-based mixed-integer optimal control of evolution systems. Zbl 1454.49021
Jäkle, Christian; Volkwein, Stefan
1
2020
Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. Zbl 1524.65506
Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan
1
2022
ROM-based multiobjective optimization of elliptic PDEs via numerical continuation. Zbl 1507.90161
Banholzer, Stefan; Gebken, Bennet; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan
1
2022
An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 1510.90268
Banholzer, Stefan; Keil, Tim; Ohlberger, Mario; Mechelli, Luca; Schindler, Felix; Volkwein, Stefan
5
2022
Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE. Zbl 1490.35153
Bernreuther, Marco; Müller, Georg; Volkwein, Stefan
2
2022
Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. Zbl 1524.65506
Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan
1
2022
ROM-based multiobjective optimization of elliptic PDEs via numerical continuation. Zbl 1507.90161
Banholzer, Stefan; Gebken, Bennet; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan
1
2022
A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 1527.90221
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan
9
2021
Model order reduction by proper orthogonal decomposition. Zbl 1467.35021
Gräßle, Carmen; Hinze, Michael; Volkwein, Stefan
2
2021
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. Zbl 1471.93084
Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan
2
2021
POD-based mixed-integer optimal control of evolution systems. Zbl 1454.49021
Jäkle, Christian; Volkwein, Stefan
1
2020
Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach. Zbl 1430.92039
Rogg, S.; Fuertinger, D. H.; Volkwein, S.; Kappel, F.; Kotanko, P.
4
2019
POD-based mixed-integer optimal control of the heat equation. Zbl 1430.49023
Bachmann, Freya; Beermann, Dennis; Lu, Jianjie; Volkwein, Stefan
3
2019
Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition. Zbl 1418.65165
Beermann, Dennis; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan
7
2018
POD-based economic model predictive control for heat-convection phenomena. Zbl 1425.93133
Mechelli, Luca; Volkwein, Stefan
5
2018
Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Zbl 1402.65010
4
2018
Coupling MPC and HJB for the computation of POD-based feedback laws. Zbl 07136779
Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan
4
2018
POD-based multiobjective optimal control of time-variant heat phenomena. Zbl 1425.90145
Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan
3
2018
POD-based economic optimal control of heat-convection phenomena. Zbl 1416.49026
Mechelli, Luca; Volkwein, Stefan
3
2018
Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025
Alla, A.; Falcone, M.; Volkwein, S.
17
2017
Multiobjective PDE-constrained optimization using the reduced-basis method. Zbl 1386.35068
Iapichino, L.; Ulbrich, S.; Volkwein, Stefan
13
2017
A-posteriori error estimation of discrete POD models for PDE-constrained optimal control. Zbl 06861101
Gubisch, Martin; Neitzel, Ira; Volkwein, Stefan
3
2017
Reduced-order multiobjective optimal control of semilinear parabolic problems. Zbl 1352.65166
Iapichino, Laura; Trenz, Stefan; Volkwein, Stefan
7
2016
Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling. Zbl 1342.49055
Lass, Oliver; Volkwein, Stefan
5
2015
Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. Zbl 1329.93072
Alla, Alessandro; Volkwein, Stefan
4
2015
Model order reduction for PDE constrained optimization. Zbl 1327.49043
Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan
26
2014
POD a-posteriori error analysis for optimal control problems with mixed control-state constraints. Zbl 1302.49039
Gubisch, Martin; Volkwein, Stefan
8
2014
Greedy sampling using nonlinear optimization. Zbl 1322.65070
Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver
8
2014
Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location. Zbl 1302.49040
Lass, Oliver; Volkwein, Stefan
4
2014
A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD. Zbl 1282.49021
Kammann, Eileen; Tröltzsch, Fredi; Volkwein, Stefan
16
2013
POD Galerkin schemes for nonlinear elliptic-parabolic systems. Zbl 1272.49060
Lass, O.; Volkwein, S.
13
2013
Numerical analysis of POD a-posteriori error estimation for optimal control. Zbl 1275.49050
Studinger, Alina; Volkwein, Stefan
7
2013
The reduced basis method applied to transport equations of a lithium-ion battery. Zbl 1358.78076
Volkwein, Stefan; Wesche, Andrea
6
2013
An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction. Zbl 1313.78032
Mancini, Roberta; Volkwein, Stefan
3
2013
POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems. Zbl 1272.49059
Kahlbacher, Martin; Volkwein, Stefan
8
2012
Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems. Zbl 1254.49018
Vossen, Georg; Volkwein, Stefan
3
2012
Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem. Zbl 1302.49045
Tonn, Timo; Urban, K.; Volkwein, S.
15
2011
Optimality system POD and a-posteriori error analysis for linear-quadratic problems. Zbl 1318.49067
Volkwein, Stefan
3
2011
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
32
2010
POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011
Sachs, Ekkehard W.; Volkwein, Stefan
19
2010
Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. Zbl 1216.49006
Tonn, Timo; Urban, Karsten; Volkwein, Stefan
5
2010
Admittance identification from point-wise sound pressure measurements using reduced-order modelling. Zbl 1205.49032
Volkwein, S.
4
2010
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
47
2009
A globalized Newton method for the accurate solution of a dipole quantum control problem. Zbl 1206.35211
Von Winckel, G.; Borzì, A.; Volkwein, S.
10
2009
Estimation of regularization parameters in elliptic optimal control problems by POD model reduction. Zbl 1189.93036
Kahlbacher, Martin; Volkwein, Stefan
3
2009
Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027
Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan
2
2009
Sequential quadratic programming method for volatility estimation in option pricing. Zbl 1159.91389
Düring, B.; Jüngel, A.; Volkwein, S.
1
2009
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
55
2008
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Zbl 1191.49040
Hinze, M.; Volkwein, S.
31
2008
Formulation and numerical solution of finite-level quantum optimal control problems. Zbl 1143.65048
Borzì, A.; Salomon, J.; Volkwein, S.
11
2008
Estimation of diffusion coefficients in a scalar Ginzburg-Landau equation by using model reduction. Zbl 1157.65473
Kahlbacher, M.; Volkwein, S.
3
2008
Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems. Zbl 1156.35020
Kahlbacher, Martin; Volkwein, Stefan
22
2007
Optimal control of the stationary quantum drift-diffusion model. Zbl 1152.35096
Unterrreiter, A.; Volkwein, S.
3
2007
Numerical feedback controller design for PDE systems using model reduction: techniques and case studies. Zbl 1226.93069
Leibfritz, Friedemann; Volkwein, Stefan
3
2007
Fast solution techniques in constrained optimal boundary control of the semilinear heat equation. Zbl 1239.49039
Hintermüller, M.; Volkwein, S.; Diwoky, F.
2
2007
Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming. Zbl 1149.90183
Leibfritz, F.; Volkwein, S.
13
2006
Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system. Zbl 1104.49033
Griesse, Roland; Volkwein, Stefan
7
2006
SQP methods for parameter identification problems arising in hyperthermia. Zbl 1113.65067
Gänzler, T.; Volkwein, S.; Weiser, M.
1
2006
Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. Zbl 1079.65533
Hinze, Michael; Volkwein, Stefan
82
2005
A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system. Zbl 1090.49024
Griesse, R.; Volkwein, S.
16
2005
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
49
2004
Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016
Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan
8
2004
Nonlinear conjugate gradient methods for the optimal control of laser surface hardening. Zbl 1062.49034
Volkwein, Stefan
4
2004
Condition number of the stiffness matrix arising in POD Galerkin schemes for dynamical systems. Zbl 1354.65199
Volkwein, Stefan
1
2004
Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition. Zbl 1044.49028
Hömberg, D.; Volkwein, S.
20
2003
Lagrange-SQP techniques for the control constrained optimal boundary control for the Burgers equation. Zbl 1077.49024
Volkwein, S.
8
2003
Laser surface hardening using proper orthogonal decomposition for a threedimensional example. Zbl 1354.74055
Hömberg, Dietmar; Volkwein, Stefan
1
2003
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
247
2002
Analysis of instantaneous control for the Burgers equation. Zbl 1022.49001
Hinze, M.; Volkwein, S.
34
2002
Affine invariant convergence analysis for inexact augmented Lagrangian-SQP methods. Zbl 1029.49026
Volkwein, S.; Weiser, M.
5
2002
Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1027.49027
Sachs, E.; Volkwein, S.
3
2002
Mesh-independence of Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1079.90166
Volkwein, S.
1
2002
Boundary control of the Burgers equation: Optimality conditions and reduced-order approach. Zbl 1024.49024
Volkwein, Stefan
1
2002
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
236
2001
Optimal control of a phase-field model using proper orthogonal decomposition. Zbl 1007.49019
Volkwein, S.
35
2001
The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035
Tröltzsch, Fredi; Volkwein, Stefan
17
2001
Distributed control problems for the Burgers equation. Zbl 0976.49001
Volkwein, S.
15
2001
Optimal and suboptimal control of partial differential equations: Augmented Lagrange-SQP methods and reduced-order modeling with proper orthogonal decomposition. Zbl 1005.49029
Volkwein, Stefan
8
2001
Second-order conditions for boundary control problems of the Burgers equation. Zbl 1001.93033
Volkwein, Stefan
7
2001
Nonlinear boundary control for the heat equation utilizing proper orthogonal decomposition. Zbl 0999.49019
Diwoky, Franz; Volkwein, Stefan
4
2001
Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation. Zbl 0974.49020
Volkwein, S.
22
2000
Mesh-independence for an augmented Lagrangian-SQP method in Hilbert spaces. Zbl 0945.49024
Volkwein, S.
8
2000
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. Zbl 0949.93039
Kunisch, K.; Volkwein, S.
142
1999
Augmented Lagrangian-SQP techniques and their approximations. Zbl 0913.49018
Kunisch, K.; Volkwein, S.
2
1997
all top 5

Cited by 1,195 Authors

53 Luo, Zhendong
38 Volkwein, Stefan
34 Rozza, Gianluigi
25 Kunisch, Karl
24 Iliescu, Traian
18 Benner, Peter
14 Karasözen, Bülent
13 Navon, Ionel Michael
13 Ohlberger, Mario
13 Tröltzsch, Fredi
12 Alla, Alessandro
12 Efendiev, Yalchin R.
12 Singler, John R.
12 Stabile, Giovanni
12 Teng, Fei
12 Wang, Zhu
11 Haasdonk, Bernard
11 Hinze, Michael
11 Manzoni, Andrea
11 Willcox, Karen E.
10 Borzì, Alfio
10 Gugercin, Serkan
10 San, Omer
9 Li, Hong
9 Patera, Anthony T.
9 Quarteroni, Alfio M.
9 Rubino, Samuele
9 Uzunca, Murat
8 Chaturantabut, Saifon
8 Chung, Tsz Shun Eric
8 Shen, Chunyu
7 Ballarin, Francesco
7 Borggaard, Jeff T.
7 Chacón Rebollo, Tomás
7 Chen, Jing
7 Grepl, Martin A.
7 Karatzas, Efthymios N.
7 Novo, Julia
7 Peitz, Sebastian
7 Veroy, Karen
6 Choi, Youngsoo
6 Falcone, Maurizio
6 Koc, Birgul
6 Leung, Wingtat
6 Perotto, Simona
6 Pinnau, René
6 Rebholz, Leo G.
6 Xie, Zhenghui
6 Zhou, Yanjie
5 Amsallem, David
5 Beattie, Christopher A.
5 Ciaramella, Gabriele
5 Fang, Fangxin
5 Gao, Anna
5 Gildin, Eduardo
5 Grundel, Sara M.
5 Gunzburger, Max D.
5 Heinkenschloss, Matthias
5 Hintermüller, Michael
5 Huang, Ting-Zhu
5 John, Volker
5 Kalise, Dante
5 Kerfriden, Pierre
5 Lanteri, Stéphane
5 Li, Kun
5 Li, Liang
5 Maday, Yvon
5 Mechelli, Luca
5 Mehrmann, Volker
5 Mola, Andrea
5 Mou, Changhong
5 Piao, Guangri
5 Schneier, Michael
5 Stoll, Martin
5 Sun, Ping
5 Tian, Lixin
5 Ulbrich, Stefan
5 Yücel, Hamdullah
4 Akman, Tuğba
4 Antil, Harbir
4 Azaïez, Mejdi
4 Barone, Matthew F.
4 Benosman, Mouhacine
4 Bordas, Stéphane Pierre Alain
4 Breiten, Tobias
4 Darbon, Jerome
4 García-Archilla, Bosco
4 Ghattas, Omar N.
4 Girfoglio, Michele
4 Grüne, Lars
4 Herzog, Roland
4 Hömberg, Dietmar
4 Jiang, Lijian
4 Kalashnikova, Irina
4 Kärcher, Mark
4 Keil, Tim
4 Küçükseyhan, Tuğba
4 Lass, Oliver
4 Lee, Hyung-Chun
4 Meng, Tingwei
...and 1,095 more Authors
all top 5

Cited in 168 Serials

60 Computer Methods in Applied Mechanics and Engineering
48 Journal of Computational Physics
42 SIAM Journal on Scientific Computing
32 Journal of Computational and Applied Mathematics
26 International Journal for Numerical Methods in Engineering
23 Journal of Scientific Computing
21 Computers & Mathematics with Applications
21 Advances in Computational Mathematics
19 Applied Mathematics and Computation
19 Computational Optimization and Applications
16 Computers and Fluids
15 Journal of Mathematical Analysis and Applications
11 SIAM Journal on Control and Optimization
11 SIAM Journal on Numerical Analysis
10 Applied Numerical Mathematics
9 Numerical Methods for Partial Differential Equations
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Optimization Methods & Software
8 Applied Mathematical Modelling
8 Mathematical and Computer Modelling of Dynamical Systems
7 International Journal for Numerical Methods in Fluids
7 Journal of Optimization Theory and Applications
7 Numerische Mathematik
7 Optimization and Engineering
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Mathematical Control and Related Fields
6 International Journal of Control
6 Mathematics and Computers in Simulation
6 Numerical Functional Analysis and Optimization
6 SIAM Journal on Applied Dynamical Systems
5 Applied Mathematics and Optimization
5 Automatica
5 Computational Mechanics
5 Mathematical and Computer Modelling
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Computational Geosciences
5 Nonlinear Analysis. Real World Applications
5 Advances in Difference Equations
4 Computer Physics Communications
4 Journal of Fluid Mechanics
4 Optimal Control Applications & Methods
4 Optimization
4 Linear Algebra and its Applications
4 SIAM Journal on Optimization
4 Communications in Nonlinear Science and Numerical Simulation
4 Acta Numerica
4 Boundary Value Problems
3 Journal of the Franklin Institute
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Applicandae Mathematicae
3 SIAM Journal on Matrix Analysis and Applications
3 International Journal of Computer Mathematics
3 Computational and Applied Mathematics
3 Mathematical Problems in Engineering
3 Computing and Visualization in Science
3 International Journal of Computational Fluid Dynamics
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Journal of Dynamical and Control Systems
3 Archives of Computational Methods in Engineering
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Numerical Mathematics
3 International Journal of Numerical Analysis and Modeling
3 Communications in Computational Physics
3 East Asian Journal on Applied Mathematics
3 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Inverse Problems
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Mathematical Physics
2 Mathematical Biosciences
2 Mathematical Methods in the Applied Sciences
2 Mathematics of Computation
2 Journal of Differential Equations
2 Systems & Control Letters
2 Physica D
2 COMPEL
2 Japan Journal of Industrial and Applied Mathematics
2 Journal of Global Optimization
2 Numerical Algorithms
2 SIAM Review
2 ETNA. Electronic Transactions on Numerical Analysis
2 Discrete and Continuous Dynamical Systems
2 European Journal of Control
2 Vietnam Journal of Mathematics
2 New Journal of Physics
2 Mathematical Modelling and Analysis
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Thai Journal of Mathematics
2 Oberwolfach Reports
2 Inverse Problems in Science and Engineering
2 GAMM-Mitteilungen
2 Mathematical Modelling of Natural Phenomena
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Applied Mathematics and Mechanics
2 Numerical Algebra, Control and Optimization
2 Journal of Mathematics in Industry
2 Communications in Applied and Industrial Mathematics
2 Journal of Computational Dynamics
2 SIAM/ASA Journal on Uncertainty Quantification
2 Iranian Journal of Numerical Analysis and Optimization
2 Research in the Mathematical Sciences
...and 68 more Serials
all top 5

Cited in 35 Fields

504 Numerical analysis (65-XX)
289 Partial differential equations (35-XX)
240 Calculus of variations and optimal control; optimization (49-XX)
217 Fluid mechanics (76-XX)
138 Systems theory; control (93-XX)
77 Operations research, mathematical programming (90-XX)
61 Mechanics of deformable solids (74-XX)
35 Biology and other natural sciences (92-XX)
30 Optics, electromagnetic theory (78-XX)
29 Computer science (68-XX)
28 Dynamical systems and ergodic theory (37-XX)
24 Probability theory and stochastic processes (60-XX)
21 Statistics (62-XX)
19 Classical thermodynamics, heat transfer (80-XX)
17 Ordinary differential equations (34-XX)
12 Approximations and expansions (41-XX)
12 Quantum theory (81-XX)
12 Geophysics (86-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
7 Operator theory (47-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Mechanics of particles and systems (70-XX)
4 Real functions (26-XX)
4 Functional analysis (46-XX)
3 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Integral equations (45-XX)
1 Mathematical logic and foundations (03-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

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