Edit Profile (opens in new tab) Volkwein, Stefan Compute Distance To: Compute Author ID: volkwein.stefan Published as: Volkwein, Stefan; Volkwein, S. External Links: MGP Documents Indexed: 86 Publications since 1997 1 Contribution as Editor Co-Authors: 67 Co-Authors with 73 Joint Publications 1,499 Co-Co-Authors all top 5 Co-Authors 14 single-authored 8 Kunisch, Karl 7 Mechelli, Luca 4 Hinze, Michael 4 Kahlbacher, Martin 4 Lass, Oliver 3 Banholzer, Stefan 3 Hintermüller, Michael 3 Iapichino, Laura 3 Sachs, Ekkehard W. 3 Tröltzsch, Fredi 3 Urban, Karsten 2 Alla, Alessandro 2 Beermann, Dennis 2 Bernreuther, Marco 2 Borzì, Alfio 2 Dellnitz, Michael 2 Diwoky, Franz 2 Falcone, Maurizio 2 Grüne, Lars 2 Gubisch, Martin 2 Herzog, Roland 2 Hömberg, Dietmar 2 Kappel, Franz 2 Keil, Tim 2 Leibfritz, Friedemann 2 Ohlberger, Mario 2 Peitz, Sebastian 2 Pirkelmann, Simon 2 Schindler, Felix 2 Tonn, Timo 2 Weiser, Martin 2 Wesche, Andrea 1 Andrej, Julian 1 Bachmann, Freya 1 Benner, Peter 1 Düring, Bertram 1 Fabrini, Giulia 1 Fuertinger, Doris H. 1 Gänzler, Tobias 1 Gebken, Bennet 1 Gräßle, Carmen 1 Jäkle, Christian 1 Jehle, Jonas Siegfried 1 Jüngel, Ansgar 1 Kammann, Eileen 1 Keiper, Winfried 1 Kopacka, Ian 1 Kotanko, Peter 1 Lu, Jianjie 1 Makarov, Eugen 1 Mancini, Roberta 1 Meurer, Thomas 1 Milde, Anja 1 Neitzel, Ira 1 Posch, C. 1 Rogg, S. 1 Salomon, Julien 1 Scharrer, G. 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 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 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 all top 5 Fields 63 Calculus of variations and optimal control; optimization (49-XX) 48 Numerical analysis (65-XX) 43 Partial differential equations (35-XX) 29 Operations research, mathematical programming (90-XX) 14 Systems theory; control (93-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 3 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 1,299 times in 703 Documents Cited by ▼ Year ▼ Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118Kunisch, K.; Volkwein, S. 222 2002 Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112Kunisch, K.; Volkwein, S. 205 2001 Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. Zbl 0949.93039Kunisch, K.; Volkwein, S. 130 1999 Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. Zbl 1079.65533Hinze, Michael; Volkwein, Stefan 74 2005 Proper orthogonal decomposition for optimality systems. Zbl 1141.65050Kunisch, Karl; Volkwein, Stefan 50 2008 POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050Tröltzsch, F.; Volkwein, S. 42 2009 HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061Kunisch, K.; Volkwein, S.; Xie, L. 42 2004 Optimal control of a phase-field model using proper orthogonal decomposition. Zbl 1007.49019Volkwein, S. 34 2001 Analysis of instantaneous control for the Burgers equation. Zbl 1022.49001Hinze, M.; Volkwein, S. 31 2002 Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Zbl 1191.49040Hinze, M.; Volkwein, S. 29 2008 Optimal snapshot location for computing POD basis functions. Zbl 1193.65113Kunisch, Karl; Volkwein, Stefan 28 2010 Model order reduction for PDE constrained optimization. Zbl 1327.49043Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan 23 2014 Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation. Zbl 0974.49020Volkwein, S. 21 2000 Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition. Zbl 1044.49028Hömberg, D.; Volkwein, S. 20 2003 POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011Sachs, Ekkehard W.; Volkwein, Stefan 16 2010 Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems. Zbl 1156.35020Kahlbacher, Martin; Volkwein, Stefan 15 2007 The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035Tröltzsch, Fredi; Volkwein, Stefan 15 2001 A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system. Zbl 1090.49024Griesse, R.; Volkwein, S. 15 2005 Distributed control problems for the Burgers equation. Zbl 0976.49001Volkwein, S. 14 2001 A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD. Zbl 1282.49021Kammann, Eileen; Tröltzsch, Fredi; Volkwein, Stefan 14 2013 Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming. Zbl 1149.90183Leibfritz, F.; Volkwein, S. 13 2006 Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem. Zbl 1302.49045Tonn, Timo; Urban, K.; Volkwein, S. 12 2011 POD Galerkin schemes for nonlinear elliptic-parabolic systems. Zbl 1272.49060Lass, O.; Volkwein, S. 12 2013 Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025Alla, A.; Falcone, M.; Volkwein, S. 11 2017 Multiobjective PDE-constrained optimization using the reduced-basis method. Zbl 1386.35068Iapichino, L.; Ulbrich, S.; Volkwein, Stefan 11 2017 Formulation and numerical solution of finite-level quantum optimal control problems. Zbl 1143.65048Borzì, A.; Salomon, J.; Volkwein, S. 10 2008 A globalized Newton method for the accurate solution of a dipole quantum control problem. Zbl 1206.35211Von Winckel, G.; Borzì, A.; Volkwein, S. 9 2009 Lagrange-SQP techniques for the control constrained optimal boundary control for the Burgers equation. Zbl 1077.49024Volkwein, S. 8 2003 Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan 8 2004 Greedy sampling using nonlinear optimization. Zbl 1322.65070Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver 8 2014 POD a-posteriori error analysis for optimal control problems with mixed control-state constraints. Zbl 1302.49039Gubisch, Martin; Volkwein, Stefan 8 2014 Optimal and suboptimal control of partial differential equations: Augmented Lagrange-SQP methods and reduced-order modeling with proper orthogonal decomposition. Zbl 1005.49029Volkwein, Stefan 7 2001 Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system. Zbl 1104.49033Griesse, Roland; Volkwein, Stefan 7 2006 POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems. Zbl 1272.49059Kahlbacher, Martin; Volkwein, Stefan 7 2012 Numerical analysis of POD a-posteriori error estimation for optimal control. Zbl 1275.49050Studinger, Alina; Volkwein, Stefan 7 2013 Second-order conditions for boundary control problems of the Burgers equation. Zbl 1001.93033Volkwein, Stefan 6 2001 Mesh-independence for an augmented Lagrangian-SQP method in Hilbert spaces. Zbl 0945.49024Volkwein, S. 6 2000 POD-based economic model predictive control for heat-convection phenomena. Zbl 1425.93133Mechelli, Luca; Volkwein, Stefan 5 2018 Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. Zbl 1216.49006Tonn, Timo; Urban, Karsten; Volkwein, Stefan 5 2010 The reduced basis method applied to transport equations of a lithium-ion battery. Zbl 1358.78076Volkwein, Stefan; Wesche, Andrea 5 2013 Coupling MPC and HJB for the computation of POD-based feedback laws. Zbl 07136779Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan 4 2018 Affine invariant convergence analysis for inexact augmented Lagrangian-SQP methods. Zbl 1029.49026Volkwein, S.; Weiser, M. 4 2002 Admittance identification from point-wise sound pressure measurements using reduced-order modelling. Zbl 1205.49032Volkwein, S. 4 2010 A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 07405597Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan 4 2021 Reduced-order multiobjective optimal control of semilinear parabolic problems. Zbl 1352.65166Iapichino, Laura; Trenz, Stefan; Volkwein, Stefan 4 2016 Nonlinear conjugate gradient methods for the optimal control of laser surface hardening. Zbl 1062.49034Volkwein, Stefan 4 2004 Nonlinear boundary control for the heat equation utilizing proper orthogonal decomposition. Zbl 0999.49019Diwoky, Franz; Volkwein, Stefan 4 2001 Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling. Zbl 1342.49055Lass, Oliver; Volkwein, Stefan 4 2015 Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition. Zbl 1418.65165Beermann, Dennis; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan 4 2018 Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach. Zbl 1430.92039Rogg, S.; Fuertinger, D. H.; Volkwein, S.; Kappel, F.; Kotanko, P. 3 2019 A-posteriori error estimation of discrete POD models for PDE-constrained optimal control. Zbl 06861101Gubisch, Martin; Neitzel, Ira; Volkwein, Stefan 3 2017 Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1027.49027Sachs, E.; Volkwein, S. 3 2002 Estimation of regularization parameters in elliptic optimal control problems by POD model reduction. Zbl 1189.93036Kahlbacher, Martin; Volkwein, Stefan 3 2009 Optimality system POD and a-posteriori error analysis for linear-quadratic problems. Zbl 1318.49067Volkwein, Stefan 3 2011 Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location. Zbl 1302.49040Lass, Oliver; Volkwein, Stefan 3 2014 Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems. Zbl 1254.49018Vossen, Georg; Volkwein, Stefan 3 2012 Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. Zbl 1329.93072Alla, Alessandro; Volkwein, Stefan 3 2015 POD-based economic optimal control of heat-convection phenomena. Zbl 1416.49026Mechelli, Luca; Volkwein, Stefan 3 2018 POD-based multiobjective optimal control of time-variant heat phenomena. Zbl 1425.90145Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan 2 2018 Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Zbl 1402.65010 2 2018 POD-based mixed-integer optimal control of the heat equation. Zbl 1430.49023Bachmann, Freya; Beermann, Dennis; Lu, Jianjie; Volkwein, Stefan 2 2019 Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. Zbl 1471.93084Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan 2 2021 Estimation of diffusion coefficients in a scalar Ginzburg-Landau equation by using model reduction. Zbl 1157.65473Kahlbacher, M.; Volkwein, S. 2 2008 Augmented Lagrangian-SQP techniques and their approximations. Zbl 0913.49018Kunisch, K.; Volkwein, S. 2 1997 Numerical feedback controller design for PDE systems using model reduction: techniques and case studies. Zbl 1226.93069Leibfritz, Friedemann; Volkwein, Stefan 2 2007 Fast solution techniques in constrained optimal boundary control of the semilinear heat equation. Zbl 1239.49039Hintermüller, M.; Volkwein, S.; Diwoky, F. 2 2007 Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan 2 2009 Optimal control of the stationary quantum drift-diffusion model. Zbl 1152.35096Unterrreiter, A.; Volkwein, S. 2 2007 An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction. Zbl 1313.78032Mancini, Roberta; Volkwein, Stefan 2 2013 Model order reduction by proper orthogonal decomposition. Zbl 1467.35021Gräßle, Carmen; Hinze, Michael; Volkwein, Stefan 2 2021 Boundary control of the Burgers equation: Optimality conditions and reduced-order approach. Zbl 1024.49024Volkwein, Stefan 1 2002 Condition number of the stiffness matrix arising in POD Galerkin schemes for dynamical systems. Zbl 1354.65199Volkwein, Stefan 1 2004 Mesh-independence of Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1079.90166Volkwein, S. 1 2002 Sequential quadratic programming method for volatility estimation in option pricing. Zbl 1159.91389Düring, B.; Jüngel, A.; Volkwein, S. 1 2009 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE. Zbl 1490.35153Bernreuther, Marco; Müller, Georg; Volkwein, Stefan 1 2022 SQP methods for parameter identification problems arising in hyperthermia. Zbl 1113.65067Gänzler, T.; Volkwein, S.; Weiser, M. 1 2006 Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. Zbl 07546659Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan 1 2022 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE. Zbl 1490.35153Bernreuther, Marco; Müller, Georg; Volkwein, Stefan 1 2022 Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. Zbl 07546659Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan 1 2022 A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 07405597Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan 4 2021 Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. Zbl 1471.93084Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan 2 2021 Model order reduction by proper orthogonal decomposition. Zbl 1467.35021Gräßle, Carmen; Hinze, Michael; Volkwein, Stefan 2 2021 Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach. Zbl 1430.92039Rogg, S.; Fuertinger, D. H.; Volkwein, S.; Kappel, F.; Kotanko, P. 3 2019 POD-based mixed-integer optimal control of the heat equation. Zbl 1430.49023Bachmann, Freya; Beermann, Dennis; Lu, Jianjie; Volkwein, Stefan 2 2019 POD-based economic model predictive control for heat-convection phenomena. Zbl 1425.93133Mechelli, Luca; Volkwein, Stefan 5 2018 Coupling MPC and HJB for the computation of POD-based feedback laws. Zbl 07136779Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan 4 2018 Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition. Zbl 1418.65165Beermann, Dennis; Dellnitz, Michael; Peitz, Sebastian; Volkwein, Stefan 4 2018 POD-based economic optimal control of heat-convection phenomena. Zbl 1416.49026Mechelli, Luca; Volkwein, Stefan 3 2018 POD-based multiobjective optimal control of time-variant heat phenomena. Zbl 1425.90145Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan 2 2018 Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Zbl 1402.65010 2 2018 Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025Alla, A.; Falcone, M.; Volkwein, S. 11 2017 Multiobjective PDE-constrained optimization using the reduced-basis method. Zbl 1386.35068Iapichino, L.; Ulbrich, S.; Volkwein, Stefan 11 2017 A-posteriori error estimation of discrete POD models for PDE-constrained optimal control. Zbl 06861101Gubisch, Martin; Neitzel, Ira; Volkwein, Stefan 3 2017 Reduced-order multiobjective optimal control of semilinear parabolic problems. Zbl 1352.65166Iapichino, Laura; Trenz, Stefan; Volkwein, Stefan 4 2016 Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling. Zbl 1342.49055Lass, Oliver; Volkwein, Stefan 4 2015 Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. Zbl 1329.93072Alla, Alessandro; Volkwein, Stefan 3 2015 Model order reduction for PDE constrained optimization. Zbl 1327.49043Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan 23 2014 Greedy sampling using nonlinear optimization. Zbl 1322.65070Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver 8 2014 POD a-posteriori error analysis for optimal control problems with mixed control-state constraints. Zbl 1302.49039Gubisch, Martin; Volkwein, Stefan 8 2014 Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location. Zbl 1302.49040Lass, Oliver; Volkwein, Stefan 3 2014 A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD. Zbl 1282.49021Kammann, Eileen; Tröltzsch, Fredi; Volkwein, Stefan 14 2013 POD Galerkin schemes for nonlinear elliptic-parabolic systems. Zbl 1272.49060Lass, O.; Volkwein, S. 12 2013 Numerical analysis of POD a-posteriori error estimation for optimal control. Zbl 1275.49050Studinger, Alina; Volkwein, Stefan 7 2013 The reduced basis method applied to transport equations of a lithium-ion battery. Zbl 1358.78076Volkwein, Stefan; Wesche, Andrea 5 2013 An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction. Zbl 1313.78032Mancini, Roberta; Volkwein, Stefan 2 2013 POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems. Zbl 1272.49059Kahlbacher, Martin; Volkwein, Stefan 7 2012 Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems. Zbl 1254.49018Vossen, 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 1302.49045Tonn, Timo; Urban, K.; Volkwein, S. 12 2011 Optimality system POD and a-posteriori error analysis for linear-quadratic problems. Zbl 1318.49067Volkwein, Stefan 3 2011 Optimal snapshot location for computing POD basis functions. Zbl 1193.65113Kunisch, Karl; Volkwein, Stefan 28 2010 POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011Sachs, Ekkehard W.; Volkwein, Stefan 16 2010 Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. Zbl 1216.49006Tonn, Timo; Urban, Karsten; Volkwein, Stefan 5 2010 Admittance identification from point-wise sound pressure measurements using reduced-order modelling. Zbl 1205.49032Volkwein, S. 4 2010 POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050Tröltzsch, F.; Volkwein, S. 42 2009 A globalized Newton method for the accurate solution of a dipole quantum control problem. Zbl 1206.35211Von Winckel, G.; Borzì, A.; Volkwein, S. 9 2009 Estimation of regularization parameters in elliptic optimal control problems by POD model reduction. Zbl 1189.93036Kahlbacher, Martin; Volkwein, Stefan 3 2009 Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan 2 2009 Sequential quadratic programming method for volatility estimation in option pricing. Zbl 1159.91389Düring, B.; Jüngel, A.; Volkwein, S. 1 2009 Proper orthogonal decomposition for optimality systems. Zbl 1141.65050Kunisch, Karl; Volkwein, Stefan 50 2008 Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Zbl 1191.49040Hinze, M.; Volkwein, S. 29 2008 Formulation and numerical solution of finite-level quantum optimal control problems. Zbl 1143.65048Borzì, A.; Salomon, J.; Volkwein, S. 10 2008 Estimation of diffusion coefficients in a scalar Ginzburg-Landau equation by using model reduction. Zbl 1157.65473Kahlbacher, M.; Volkwein, S. 2 2008 Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems. Zbl 1156.35020Kahlbacher, Martin; Volkwein, Stefan 15 2007 Numerical feedback controller design for PDE systems using model reduction: techniques and case studies. Zbl 1226.93069Leibfritz, Friedemann; Volkwein, Stefan 2 2007 Fast solution techniques in constrained optimal boundary control of the semilinear heat equation. Zbl 1239.49039Hintermüller, M.; Volkwein, S.; Diwoky, F. 2 2007 Optimal control of the stationary quantum drift-diffusion model. Zbl 1152.35096Unterrreiter, A.; Volkwein, S. 2 2007 Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming. Zbl 1149.90183Leibfritz, F.; Volkwein, S. 13 2006 Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system. Zbl 1104.49033Griesse, Roland; Volkwein, Stefan 7 2006 SQP methods for parameter identification problems arising in hyperthermia. Zbl 1113.65067Gänzler, T.; Volkwein, S.; Weiser, M. 1 2006 Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. Zbl 1079.65533Hinze, Michael; Volkwein, Stefan 74 2005 A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system. Zbl 1090.49024Griesse, R.; Volkwein, S. 15 2005 HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061Kunisch, K.; Volkwein, S.; Xie, L. 42 2004 Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan 8 2004 Nonlinear conjugate gradient methods for the optimal control of laser surface hardening. Zbl 1062.49034Volkwein, Stefan 4 2004 Condition number of the stiffness matrix arising in POD Galerkin schemes for dynamical systems. Zbl 1354.65199Volkwein, Stefan 1 2004 Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition. Zbl 1044.49028Hömberg, D.; Volkwein, S. 20 2003 Lagrange-SQP techniques for the control constrained optimal boundary control for the Burgers equation. Zbl 1077.49024Volkwein, S. 8 2003 Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118Kunisch, K.; Volkwein, S. 222 2002 Analysis of instantaneous control for the Burgers equation. Zbl 1022.49001Hinze, M.; Volkwein, S. 31 2002 Affine invariant convergence analysis for inexact augmented Lagrangian-SQP methods. Zbl 1029.49026Volkwein, S.; Weiser, M. 4 2002 Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1027.49027Sachs, E.; Volkwein, S. 3 2002 Boundary control of the Burgers equation: Optimality conditions and reduced-order approach. Zbl 1024.49024Volkwein, Stefan 1 2002 Mesh-independence of Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1079.90166Volkwein, S. 1 2002 Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112Kunisch, K.; Volkwein, S. 205 2001 Optimal control of a phase-field model using proper orthogonal decomposition. Zbl 1007.49019Volkwein, S. 34 2001 The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035Tröltzsch, Fredi; Volkwein, Stefan 15 2001 Distributed control problems for the Burgers equation. Zbl 0976.49001Volkwein, S. 14 2001 Optimal and suboptimal control of partial differential equations: Augmented Lagrange-SQP methods and reduced-order modeling with proper orthogonal decomposition. Zbl 1005.49029Volkwein, Stefan 7 2001 Second-order conditions for boundary control problems of the Burgers equation. Zbl 1001.93033Volkwein, Stefan 6 2001 Nonlinear boundary control for the heat equation utilizing proper orthogonal decomposition. Zbl 0999.49019Diwoky, Franz; Volkwein, Stefan 4 2001 Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation. Zbl 0974.49020Volkwein, S. 21 2000 Mesh-independence for an augmented Lagrangian-SQP method in Hilbert spaces. Zbl 0945.49024Volkwein, S. 6 2000 Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. Zbl 0949.93039Kunisch, K.; Volkwein, S. 130 1999 Augmented Lagrangian-SQP techniques and their approximations. Zbl 0913.49018Kunisch, K.; Volkwein, S. 2 1997 all cited Publications top 5 cited Publications all top 5 Cited by 1,056 Authors 51 Luo, Zhendong 36 Volkwein, Stefan 30 Rozza, Gianluigi 23 Kunisch, Karl 19 Iliescu, Traian 16 Benner, Peter 13 Karasözen, Bülent 13 Navon, Ionel Michael 13 Tröltzsch, Fredi 12 Singler, John R. 12 Teng, Fei 11 Efendiev, Yalchin R. 11 Manzoni, Andrea 11 Stabile, Giovanni 11 Wang, Zhu 10 Alla, Alessandro 10 Borzì, Alfio 10 Gugercin, Serkan 10 Hinze, Michael 10 Ohlberger, Mario 10 Willcox, Karen E. 9 Haasdonk, Bernard 9 Li, Hong 9 Patera, Anthony T. 9 Quarteroni, Alfio M. 9 Uzunca, Murat 8 Chaturantabut, Saifon 8 Chung, Tsz Shun Eric 8 San, Omer 8 Shen, Chunyu 7 Borggaard, Jeff T. 7 Chen, Jing 7 Peitz, Sebastian 7 Rubino, Samuele 6 Ballarin, Francesco 6 Grepl, Martin A. 6 Karatzas, Efthymios N. 6 Rebholz, Leo G. 6 Veroy, Karen 6 Xie, Zhenghui 6 Zhou, Yanjie 5 Amsallem, David 5 Beattie, Christopher A. 5 Choi, Youngsoo 5 Ciaramella, Gabriele 5 Falcone, Maurizio 5 Fang, Fangxin 5 Gao, Anna 5 Gildin, Eduardo 5 Herzog, Roland 5 Hintermüller, Michael 5 Kalise, Dante 5 Koc, Birgul 5 Perotto, Simona 5 Pinnau, René 5 Schneier, Michael 5 Stoll, Martin 5 Sun, Ping 5 Tian, Lixin 5 Ulbrich, Stefan 5 Yücel, Hamdullah 4 Barone, Matthew F. 4 Benosman, Mouhacine 4 Bordas, Stéphane Pierre Alain 4 Breiten, Tobias 4 Grüne, Lars 4 Gunzburger, Max D. 4 Heinkenschloss, Matthias 4 Hömberg, Dietmar 4 Huang, Ting-Zhu 4 Jiang, Lijian 4 Kalashnikova, Irina 4 Kärcher, Mark 4 Kerfriden, Pierre 4 Küçükseyhan, Tuğba 4 Lanteri, Stéphane 4 Lass, Oliver 4 Lee, Hyung-Chun 4 Leung, Wingtat 4 Li, Kun 4 Li, Liang 4 Maday, Yvon 4 Mechelli, Luca 4 Mehrmann, Volker 4 Mola, Andrea 4 Mou, Changhong 4 Nguyen, Ngoc Cuong 4 Nouy, Anthony 4 Novo, Julia 4 Pain, Christopher C. 4 Piao, Guangri 4 Reese, Stefanie 4 Ştefănescu, Răzvan 4 Weiser, Martin 3 Akkari, Nissrine 3 Akman, Tuğba 3 Chacón Rebollo, Tomás 3 Chen, Yanlai 3 Cheung, Siu Wun 3 Dellnitz, Michael ...and 956 more Authors all top 5 Cited in 159 Serials 53 Computer Methods in Applied Mechanics and Engineering 39 Journal of Computational Physics 36 SIAM Journal on Scientific Computing 31 Journal of Computational and Applied Mathematics 24 International Journal for Numerical Methods in Engineering 21 Advances in Computational Mathematics 19 Computational Optimization and Applications 18 Computers & Mathematics with Applications 18 Journal of Scientific Computing 16 Computers and Fluids 15 Applied Mathematics and Computation 13 Journal of Mathematical Analysis and Applications 10 SIAM Journal on Control and Optimization 10 SIAM Journal on Numerical Analysis 10 Applied Numerical Mathematics 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 6 International Journal of Control 6 Optimization and Engineering 5 Automatica 5 Mathematics and Computers in Simulation 5 Numerical Functional Analysis and Optimization 5 Numerical Methods for Partial Differential Equations 5 Mathematical and Computer Modelling 5 Computational Geosciences 5 Nonlinear Analysis. 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(English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Physica D ...and 59 more Serials all top 5 Cited in 34 Fields 423 Numerical analysis (65-XX) 260 Partial differential equations (35-XX) 209 Calculus of variations and optimal control; optimization (49-XX) 193 Fluid mechanics (76-XX) 123 Systems theory; control (93-XX) 63 Operations research, mathematical programming (90-XX) 52 Mechanics of deformable solids (74-XX) 30 Biology and other natural sciences (92-XX) 27 Optics, electromagnetic theory (78-XX) 24 Dynamical systems and ergodic theory (37-XX) 20 Probability theory and stochastic processes (60-XX) 18 Computer science (68-XX) 18 Classical thermodynamics, heat transfer (80-XX) 16 Statistics (62-XX) 13 Geophysics (86-XX) 12 Ordinary differential equations (34-XX) 12 Quantum theory (81-XX) 10 Approximations and expansions (41-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Information and communication theory, circuits (94-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 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX) Citations by Year