Edit Profile (opens in new tab) Volkwein, Stefan Co-Author Distance Author ID: volkwein.stefan Published as: Volkwein, Stefan; Volkwein, S. External Links: MGP Documents Indexed: 101 Publications since 1997, including 13 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 86 Co-Authors with 88 Joint Publications 1,919 Co-Co-Authors 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 all top 5 Fields 69 Calculus of variations and optimal control; optimization (49-XX) 56 Numerical analysis (65-XX) 46 Partial differential equations (35-XX) 35 Operations research, mathematical programming (90-XX) 16 Systems theory; control (93-XX) 8 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) 3 Ordinary differential equations (34-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-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 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 cited Publications top 5 cited Publications 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. 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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) Citations by Year