## Volkwein, Stefan

Compute Distance To:
 Author ID: volkwein.stefan Published as: Volkwein, Stefan; Volkwein, S. External Links: MGP
 Documents Indexed: 81 Publications since 1997 1 Contribution as Editor Co-Authors: 64 Co-Authors with 68 Joint Publications 1,388 Co-Co-Authors
all top 5

### Co-Authors

 14 single-authored 8 Kunisch, Karl 5 Mechelli, Luca 4 Hinze, Michael 4 Kahlbacher, Martin 4 Lass, Oliver 3 Hintermüller, Michael 3 Iapichino, Laura 3 Sachs, Ekkehard W. 3 Tröltzsch, Fredi 3 Urban, Karsten 2 Alla, Alessandro 2 Beermann, Dennis 2 Borzì, Alfio 2 Diwoky, Franz 2 Falcone, Maurizio 2 Gubisch, Martin 2 Herzog, Roland 2 Hömberg, Dietmar 2 Leibfritz, Friedemann 2 Tonn, Timo 2 Weiser, Martin 2 Wesche, Andrea 1 Bachmann, Freya 1 Banholzer, Stefan 1 Benner, Peter 1 Bernreuther, Marco 1 Dellnitz, Michael 1 Düring, Bertram 1 Fabrini, Giulia 1 Fuertinger, Doris H. 1 Gänzler, Tobias 1 Gräßle, Carmen 1 Grüne, Lars 1 Jäkle, Christian 1 Jehle, Jonas Siegfried 1 Jüngel, Ansgar 1 Kammann, Eileen 1 Kappel, Franz 1 Keil, Tim 1 Keiper, Winfried 1 Kopacka, Ian 1 Kotanko, Peter 1 Lu, Jianjie 1 Makarov, Eugen 1 Mancini, Roberta 1 Milde, Anja 1 Neitzel, Ira 1 Ohlberger, Mario 1 Peitz, Sebastian 1 Pirkelmann, Simon 1 Posch, C. 1 Rogg, S. 1 Salomon, Julien 1 Scharrer, G. 1 Schindler, Felix 1 Spasov, Yulian 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

 8 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 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 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
all top 5

### Fields

 61 Calculus of variations and optimal control; optimization (49-XX) 46 Numerical analysis (65-XX) 41 Partial differential equations (35-XX) 27 Operations research, mathematical programming (90-XX) 14 Systems theory; control (93-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

75 Publications have been cited 1,187 times in 650 Documents Cited by Year
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
2002
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
2001
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. Zbl 0949.93039
Kunisch, K.; Volkwein, S.
1999
Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. Zbl 1079.65533
Hinze, Michael; Volkwein, Stefan
2005
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
2008
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
2009
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
2004
Optimal control of a phase-field model using proper orthogonal decomposition. Zbl 1007.49019
Volkwein, S.
2001
Analysis of instantaneous control for the Burgers equation. Zbl 1022.49001
Hinze, M.; Volkwein, S.
2002
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Zbl 1191.49040
Hinze, M.; Volkwein, S.
2008
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
2010
Model order reduction for PDE constrained optimization. Zbl 1327.49043
Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan
2014
Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition. Zbl 1044.49028
Hömberg, D.; Volkwein, S.
2003
Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation. Zbl 0974.49020
Volkwein, S.
2000
The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035
Tröltzsch, Fredi; Volkwein, Stefan
2001
A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system. Zbl 1090.49024
Griesse, R.; Volkwein, S.
2005
Distributed control problems for the Burgers equation. Zbl 0976.49001
Volkwein, S.
2001
Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems. Zbl 1156.35020
Kahlbacher, Martin; Volkwein, Stefan
2007
POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011
Sachs, Ekkehard W.; Volkwein, Stefan
2010
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
2013
Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming. Zbl 1149.90183
Leibfritz, F.; Volkwein, S.
2006
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.
2011
POD Galerkin schemes for nonlinear elliptic-parabolic systems. Zbl 1272.49060
Lass, O.; Volkwein, S.
2013
Formulation and numerical solution of finite-level quantum optimal control problems. Zbl 1143.65048
Borzì, A.; Salomon, J.; Volkwein, S.
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.
2009
Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025
Alla, A.; Falcone, M.; Volkwein, S.
2017
Multiobjective PDE-constrained optimization using the reduced-basis method. Zbl 1386.35068
Iapichino, L.; Ulbrich, S.; Volkwein, Stefan
2017
Greedy sampling using nonlinear optimization. Zbl 1322.65070
Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver
2014
Lagrange-SQP techniques for the control constrained optimal boundary control for the Burgers equation. Zbl 1077.49024
Volkwein, S.
2003
Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016
Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan
2004
POD a-posteriori error analysis for optimal control problems with mixed control-state constraints. Zbl 1302.49039
Gubisch, Martin; Volkwein, Stefan
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
2001
POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems. Zbl 1272.49059
Kahlbacher, Martin; Volkwein, Stefan
2012
Numerical analysis of POD a-posteriori error estimation for optimal control. Zbl 1275.49050
Studinger, Alina; Volkwein, Stefan
2013
Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system. Zbl 1104.49033
Griesse, Roland; Volkwein, Stefan
2006
Mesh-independence for an augmented Lagrangian-SQP method in Hilbert spaces. Zbl 0945.49024
Volkwein, S.
2000
Second-order conditions for boundary control problems of the Burgers equation. Zbl 1001.93033
Volkwein, Stefan
2001
Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. Zbl 1216.49006
Tonn, Timo; Urban, Karsten; Volkwein, Stefan
2010
Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling. Zbl 1342.49055
Lass, Oliver; Volkwein, Stefan
2015
Nonlinear conjugate gradient methods for the optimal control of laser surface hardening. Zbl 1062.49034
Volkwein, Stefan
2004
Affine invariant convergence analysis for inexact augmented Lagrangian-SQP methods. Zbl 1029.49026
Volkwein, S.; Weiser, M.
2002
Nonlinear boundary control for the heat equation utilizing proper orthogonal decomposition. Zbl 0999.49019
Diwoky, Franz; Volkwein, Stefan
2001
Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition. Zbl 1418.65165
Beermann, Dennis; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan
2018
Reduced-order multiobjective optimal control of semilinear parabolic problems. Zbl 1352.65166
Iapichino, Laura; Trenz, Stefan; Volkwein, Stefan
2016
Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. Zbl 1329.93072
Alla, Alessandro; Volkwein, Stefan
2015
The reduced basis method applied to transport equations of a lithium-ion battery. Zbl 1358.78076
Volkwein, Stefan; Wesche, Andrea
2013
Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location. Zbl 1302.49040
Lass, Oliver; Volkwein, Stefan
2014
Estimation of regularization parameters in elliptic optimal control problems by POD model reduction. Zbl 1189.93036
Kahlbacher, Martin; Volkwein, Stefan
2009
Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1027.49027
Sachs, E.; Volkwein, S.
2002
POD-based economic model predictive control for heat-convection phenomena. Zbl 1425.93133
Mechelli, Luca; Volkwein, Stefan
2018
Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems. Zbl 1254.49018
Vossen, Georg; Volkwein, Stefan
2012
Admittance identification from point-wise sound pressure measurements using reduced-order modelling. Zbl 1205.49032
Volkwein, S.
2010
A-posteriori error estimation of discrete POD models for PDE-constrained optimal control. Zbl 06861101
Gubisch, Martin; Neitzel, Ira; Volkwein, Stefan
2017
An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction. Zbl 1313.78032
Mancini, Roberta; Volkwein, Stefan
2013
Optimality system POD and a-posteriori error analysis for linear-quadratic problems. Zbl 1318.49067
Volkwein, Stefan
2011
Fast solution techniques in constrained optimal boundary control of the semilinear heat equation. Zbl 1239.49039
Hintermüller, M.; Volkwein, S.; Diwoky, F.
2007
Optimal control of the stationary quantum drift-diffusion model. Zbl 1152.35096
Unterrreiter, A.; Volkwein, S.
2007
Estimation of diffusion coefficients in a scalar Ginzburg-Landau equation by using model reduction. Zbl 1157.65473
Kahlbacher, M.; Volkwein, S.
2008
Augmented Lagrangian-SQP techniques and their approximations. Zbl 0913.49018
Kunisch, K.; Volkwein, S.
1997
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.
2019
Coupling MPC and HJB for the computation of POD-based feedback laws. Zbl 07136779
Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan
2018
POD-based economic optimal control of heat-convection phenomena. Zbl 1416.49026
Mechelli, Luca; Volkwein, Stefan
2018
Numerical feedback controller design for PDE systems using model reduction: techniques and case studies. Zbl 1226.93069
Leibfritz, Friedemann; Volkwein, Stefan
2007
SQP methods for parameter identification problems arising in hyperthermia. Zbl 1113.65067
Gänzler, T.; Volkwein, S.; Weiser, M.
2006
Mesh-independence of Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1079.90166
Volkwein, S.
2002
Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027
Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan
2009
Sequential quadratic programming method for volatility estimation in option pricing. Zbl 1159.91389
Düring, B.; Jüngel, A.; Volkwein, S.
2009
Boundary control of the Burgers equation: Optimality conditions and reduced-order approach. Zbl 1024.49024
Volkwein, Stefan
2002
POD-based mixed-integer optimal control of the heat equation. Zbl 1430.49023
Bachmann, Freya; Beermann, Dennis; Lu, Jianjie; Volkwein, Stefan
2019
POD-based multiobjective optimal control of time-variant heat phenomena. Zbl 1425.90145
Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan
2018
Condition number of the stiffness matrix arising in POD Galerkin schemes for dynamical systems. Zbl 1354.65199
Volkwein, Stefan
2004
Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Zbl 1402.65010
2018
Model order reduction by proper orthogonal decomposition. Zbl 1467.35021
Gräßle, Carmen; Hinze, Michael; Volkwein, Stefan
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
2021
A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 07405597
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan
2021
Model order reduction by proper orthogonal decomposition. Zbl 1467.35021
Gräßle, Carmen; Hinze, Michael; Volkwein, Stefan
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
2021
A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 07405597
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan
2021
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.
2019
POD-based mixed-integer optimal control of the heat equation. Zbl 1430.49023
Bachmann, Freya; Beermann, Dennis; Lu, Jianjie; Volkwein, Stefan
2019
Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition. Zbl 1418.65165
Beermann, Dennis; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan
2018
POD-based economic model predictive control for heat-convection phenomena. Zbl 1425.93133
Mechelli, Luca; Volkwein, Stefan
2018
Coupling MPC and HJB for the computation of POD-based feedback laws. Zbl 07136779
Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan
2018
POD-based economic optimal control of heat-convection phenomena. Zbl 1416.49026
Mechelli, Luca; Volkwein, Stefan
2018
POD-based multiobjective optimal control of time-variant heat phenomena. Zbl 1425.90145
Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan
2018
Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Zbl 1402.65010
2018
Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025
Alla, A.; Falcone, M.; Volkwein, S.
2017
Multiobjective PDE-constrained optimization using the reduced-basis method. Zbl 1386.35068
Iapichino, L.; Ulbrich, S.; Volkwein, Stefan
2017
A-posteriori error estimation of discrete POD models for PDE-constrained optimal control. Zbl 06861101
Gubisch, Martin; Neitzel, Ira; Volkwein, Stefan
2017
Reduced-order multiobjective optimal control of semilinear parabolic problems. Zbl 1352.65166
Iapichino, Laura; Trenz, Stefan; Volkwein, Stefan
2016
Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling. Zbl 1342.49055
Lass, Oliver; Volkwein, Stefan
2015
Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. Zbl 1329.93072
Alla, Alessandro; Volkwein, Stefan
2015
Model order reduction for PDE constrained optimization. Zbl 1327.49043
Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan
2014
Greedy sampling using nonlinear optimization. Zbl 1322.65070
Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver
2014
POD a-posteriori error analysis for optimal control problems with mixed control-state constraints. Zbl 1302.49039
Gubisch, Martin; Volkwein, Stefan
2014
Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location. Zbl 1302.49040
Lass, Oliver; Volkwein, Stefan
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
2013
POD Galerkin schemes for nonlinear elliptic-parabolic systems. Zbl 1272.49060
Lass, O.; Volkwein, S.
2013
Numerical analysis of POD a-posteriori error estimation for optimal control. Zbl 1275.49050
Studinger, Alina; Volkwein, Stefan
2013
The reduced basis method applied to transport equations of a lithium-ion battery. Zbl 1358.78076
Volkwein, Stefan; Wesche, Andrea
2013
An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction. Zbl 1313.78032
Mancini, Roberta; Volkwein, Stefan
2013
POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems. Zbl 1272.49059
Kahlbacher, Martin; Volkwein, Stefan
2012
Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems. Zbl 1254.49018
Vossen, Georg; Volkwein, Stefan
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.
2011
Optimality system POD and a-posteriori error analysis for linear-quadratic problems. Zbl 1318.49067
Volkwein, Stefan
2011
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
2010
POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011
Sachs, Ekkehard W.; Volkwein, Stefan
2010
Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. Zbl 1216.49006
Tonn, Timo; Urban, Karsten; Volkwein, Stefan
2010
Admittance identification from point-wise sound pressure measurements using reduced-order modelling. Zbl 1205.49032
Volkwein, S.
2010
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
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.
2009
Estimation of regularization parameters in elliptic optimal control problems by POD model reduction. Zbl 1189.93036
Kahlbacher, Martin; Volkwein, Stefan
2009
Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027
Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan
2009
Sequential quadratic programming method for volatility estimation in option pricing. Zbl 1159.91389
Düring, B.; Jüngel, A.; Volkwein, S.
2009
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
2008
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Zbl 1191.49040
Hinze, M.; Volkwein, S.
2008
Formulation and numerical solution of finite-level quantum optimal control problems. Zbl 1143.65048
Borzì, A.; Salomon, J.; Volkwein, S.
2008
Estimation of diffusion coefficients in a scalar Ginzburg-Landau equation by using model reduction. Zbl 1157.65473
Kahlbacher, M.; Volkwein, S.
2008
Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems. Zbl 1156.35020
Kahlbacher, Martin; Volkwein, Stefan
2007
Fast solution techniques in constrained optimal boundary control of the semilinear heat equation. Zbl 1239.49039
Hintermüller, M.; Volkwein, S.; Diwoky, F.
2007
Optimal control of the stationary quantum drift-diffusion model. Zbl 1152.35096
Unterrreiter, A.; Volkwein, S.
2007
Numerical feedback controller design for PDE systems using model reduction: techniques and case studies. Zbl 1226.93069
Leibfritz, Friedemann; Volkwein, Stefan
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.
2006
Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system. Zbl 1104.49033
Griesse, Roland; Volkwein, Stefan
2006
SQP methods for parameter identification problems arising in hyperthermia. Zbl 1113.65067
Gänzler, T.; Volkwein, S.; Weiser, M.
2006
Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. Zbl 1079.65533
Hinze, Michael; Volkwein, Stefan
2005
A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system. Zbl 1090.49024
Griesse, R.; Volkwein, S.
2005
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
2004
Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016
Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan
2004
Nonlinear conjugate gradient methods for the optimal control of laser surface hardening. Zbl 1062.49034
Volkwein, Stefan
2004
Condition number of the stiffness matrix arising in POD Galerkin schemes for dynamical systems. Zbl 1354.65199
Volkwein, Stefan
2004
Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition. Zbl 1044.49028
Hömberg, D.; Volkwein, S.
2003
Lagrange-SQP techniques for the control constrained optimal boundary control for the Burgers equation. Zbl 1077.49024
Volkwein, S.
2003
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
2002
Analysis of instantaneous control for the Burgers equation. Zbl 1022.49001
Hinze, M.; Volkwein, S.
2002
Affine invariant convergence analysis for inexact augmented Lagrangian-SQP methods. Zbl 1029.49026
Volkwein, S.; Weiser, M.
2002
Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1027.49027
Sachs, E.; Volkwein, S.
2002
Mesh-independence of Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1079.90166
Volkwein, S.
2002
Boundary control of the Burgers equation: Optimality conditions and reduced-order approach. Zbl 1024.49024
Volkwein, Stefan
2002
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
2001
Optimal control of a phase-field model using proper orthogonal decomposition. Zbl 1007.49019
Volkwein, S.
2001
The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035
Tröltzsch, Fredi; Volkwein, Stefan
2001
Distributed control problems for the Burgers equation. Zbl 0976.49001
Volkwein, S.
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
2001
Second-order conditions for boundary control problems of the Burgers equation. Zbl 1001.93033
Volkwein, Stefan
2001
Nonlinear boundary control for the heat equation utilizing proper orthogonal decomposition. Zbl 0999.49019
Diwoky, Franz; Volkwein, Stefan
2001
Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation. Zbl 0974.49020
Volkwein, S.
2000
Mesh-independence for an augmented Lagrangian-SQP method in Hilbert spaces. Zbl 0945.49024
Volkwein, S.
2000
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. Zbl 0949.93039
Kunisch, K.; Volkwein, S.
1999
Augmented Lagrangian-SQP techniques and their approximations. Zbl 0913.49018
Kunisch, K.; Volkwein, S.
1997
all top 5

### Cited by 977 Authors

 49 Luo, Zhendong 32 Volkwein, Stefan 26 Rozza, Gianluigi 23 Kunisch, Karl 16 Iliescu, Traian 15 Benner, Peter 13 Karasözen, Bülent 13 Navon, Ionel Michael 13 Tröltzsch, Fredi 12 Teng, Fei 11 Singler, John R. 11 Stabile, Giovanni 10 Borzì, Alfio 10 Efendiev, Yalchin R. 10 Gugercin, Serkan 10 Manzoni, Andrea 10 Willcox, Karen E. 9 Alla, Alessandro 9 Haasdonk, Bernard 9 Hinze, Michael 9 Li, Hong 9 Ohlberger, Mario 9 Patera, Anthony T. 9 Quarteroni, Alfio M. 9 Uzunca, Murat 9 Wang, Zhu 8 Chaturantabut, Saifon 8 Shen, Chunyu 7 Chen, Jing 7 Chung, Tsz Shun Eric 7 San, Omer 6 Borggaard, Jeff T. 6 Grepl, Martin A. 6 Veroy, Karen 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 Kalise, Dante 5 Karatzas, Efthymios N. 5 Peitz, Sebastian 5 Pinnau, René 5 Rebholz, Leo G. 5 Schneier, Michael 5 Sun, Ping 5 Tian, Lixin 5 Yücel, Hamdullah 4 Ballarin, Francesco 4 Barone, Matthew F. 4 Bordas, Stéphane Pierre Alain 4 Breiten, Tobias 4 Choi, Youngsoo 4 Falcone, Maurizio 4 Gunzburger, Max D. 4 Heinkenschloss, Matthias 4 Herzog, Roland 4 Hintermüller, Michael 4 Hömberg, Dietmar 4 Jiang, Lijian 4 Kalashnikova, Irina 4 Kärcher, Mark 4 Kerfriden, Pierre 4 Küçükseyhan, Tuğba 4 Lass, Oliver 4 Lee, Hyung-Chun 4 Maday, Yvon 4 Mola, Andrea 4 Nguyen, Ngoc Cuong 4 Nouy, Anthony 4 Pain, Christopher C. 4 Perotto, Simona 4 Piao, Guangri 4 Reese, Stefanie 4 Rubino, Samuele 4 Ştefănescu, Răzvan 4 Stoll, Martin 4 Ulbrich, Stefan 4 Weiser, Martin 3 Akman, Tuğba 3 Benosman, Mouhacine 3 Chen, Yanlai 3 Di, Zhenhua 3 Dihlmann, Markus A. 3 Dolgov, Sergey V. 3 Du, Juan 3 Fareed, Hiba 3 Farhat, Charbel H. 3 Feng, Lihong 3 Gao, Junqiang 3 Ghattas, Omar N. 3 Grüne, Lars 3 Hamdouni, Aziz 3 Herty, Michael Matthias 3 Hijazi, Saddam 3 Hoang, K. C. 3 Huang, Ting-Zhu ...and 877 more Authors
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### Cited in 153 Serials

 46 Computer Methods in Applied Mechanics and Engineering 37 Journal of Computational Physics 34 SIAM Journal on Scientific Computing 30 Journal of Computational and Applied Mathematics 24 International Journal for Numerical Methods in Engineering 19 Advances in Computational Mathematics 17 Computational Optimization and Applications 15 Computers & Mathematics with Applications 14 Applied Mathematics and Computation 14 Journal of Scientific Computing 13 Computers and Fluids 13 Journal of Mathematical Analysis and Applications 10 Applied Numerical Mathematics 9 SIAM Journal on Control and Optimization 9 SIAM Journal on Numerical Analysis 9 Optimization Methods & Software 8 Applied Mathematical Modelling 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Mathematical and Computer Modelling of Dynamical Systems 7 International Journal for Numerical Methods in Fluids 7 Journal of Optimization Theory and Applications 6 International Journal of Control 6 Numerische Mathematik 5 Numerical Functional Analysis and Optimization 5 Numerical Methods for Partial Differential Equations 5 Mathematical and Computer Modelling 5 Computational Geosciences 5 Optimization and Engineering 5 Nonlinear Analysis. Real World Applications 5 SIAM Journal on Applied Dynamical Systems 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Mathematical Control and Related Fields 4 Journal of Fluid Mechanics 4 Automatica 4 Mathematics and Computers in Simulation 4 Optimal Control Applications & Methods 4 Computational Mechanics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Advances in Difference Equations 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 Linear Algebra and its Applications 3 SIAM Journal on Optimization 3 Mathematical Problems in Engineering 3 Computing and Visualization in Science 3 Archives of Computational Methods in Engineering 3 International Journal of Numerical Analysis and Modeling 3 Boundary Value Problems 3 Communications in Computational Physics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Computer Physics Communications 2 Inverse Problems 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 Systems & Control Letters 2 Optimization 2 COMPEL 2 Japan Journal of Industrial and Applied Mathematics 2 SIAM Review 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 International Journal of Computational Fluid Dynamics 2 Vietnam Journal of Mathematics 2 New Journal of Physics 2 Journal of Dynamical and Control Systems 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Thai Journal of Mathematics 2 Inverse Problems in Science and Engineering 2 GAMM-Mitteilungen 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Applied Mathematics and Mechanics 2 Numerical Algebra, Control and Optimization 2 Communications in Applied and Industrial Mathematics 2 East Asian Journal on Applied Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Iranian Journal of Numerical Analysis and Optimization 2 Research in the Mathematical Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Bulletin of Mathematical Biology 1 Theoretical and Computational Fluid Dynamics 1 Calcolo 1 Journal of Differential Equations 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni ...and 53 more Serials
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### Cited in 34 Fields

 395 Numerical analysis (65-XX) 234 Partial differential equations (35-XX) 193 Calculus of variations and optimal control; optimization (49-XX) 170 Fluid mechanics (76-XX) 118 Systems theory; control (93-XX) 55 Operations research, mathematical programming (90-XX) 48 Mechanics of deformable solids (74-XX) 31 Biology and other natural sciences (92-XX) 26 Optics, electromagnetic theory (78-XX) 23 Dynamical systems and ergodic theory (37-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Probability theory and stochastic processes (60-XX) 16 Statistics (62-XX) 16 Computer science (68-XX) 14 Geophysics (86-XX) 11 Quantum theory (81-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Ordinary differential equations (34-XX) 9 Approximations and expansions (41-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX)