## Hinze, Michael

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 Author ID: hinze.michael Published as: Hinze, Michael; Hinze, M. Homepage: https://www.uni-koblenz-landau.de/de/koblenz/fb3/organisation/personen/mathe/hin... External Links: MGP · ORCID
 Documents Indexed: 120 Publications since 1993, including 2 Books 9 Contributions as Editor Co-Authors: 86 Co-Authors with 120 Joint Publications 2,644 Co-Co-Authors
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### Co-Authors

 9 single-authored 18 Deckelnick, Klaus 11 Hintermüller, Michael 9 Kahle, Christian 7 Ahmad Ali, Ahmad 7 Kunisch, Karl 7 Pinnau, René 6 Garcke, Harald 6 Gräßle, Carmen 6 Günther, Andreas 6 Ulbrich, Stefan 4 Benner, Peter 4 Elliott, Charles M. 4 Gong, Wei 4 Matthes, Ulrich 4 Quyen, Tran Nhan Tam 4 Styles, Vanessa 4 Vierling, Morten 4 Volkwein, Stefan 4 Zhou, Zhaojie 3 Alla, Alessandro 3 Bärwolff, Günter 3 Giga, Yoshikazu 3 Kunkel, Martin 2 Engell, Sebastian 2 Faßbender, Heike 2 Griewank, Andreas 2 Hecht, Claudia 2 Herberg, Evelyn 2 Herzog, Roland 2 Keil, Tobias 2 Korolev, Denis 2 Köster, Michael 2 Lam, Kei Fong 2 Leugering, Günter 2 Meyer, Christian 2 Rannacher, Rolf 2 Rösch, Arnd 2 Schiela, Anton 2 Schulz, Volker H. 2 Sokołowski, Jan 2 Sternberg, Julia 2 Stykel, Tatjana 2 Tber, Moulay Hicham 2 Turek, Stefan 2 Ulbrich, Michael 2 Ziegenbalg, Stefan 2 Zimmermann, Ralf 1 Abbeloos, Dirk 1 Afanasiev, Konstantin 1 Agosti, Abramo 1 Breiten, Tobias 1 Burger, Martin 1 Choi, Haecheon 1 Ciarletta, Pasquale 1 Diehl, Moritz Mathias 1 Düster, Alexander 1 Frank, Martin 1 Harbrecht, Helmut 1 Heners, Jan Philipp 1 Herbert, Philip J. 1 Herkt, Sabrina 1 Herty, Michael Matthias 1 Hofmann, Bernd 1 Hoppe, Ronald H. W. 1 Jordan, Tobias 1 Kaltenbacher, Barbara 1 Kauffmann, Andreas 1 Kolvenbach, Philip 1 Kröger, Jörn 1 Kröner, Heiko 1 Kühl, Niklas 1 Lang, Jens 1 Lass, Oliver 1 Radtke, Lars 1 Rung, Thomas 1 Scharmacher, Nicolas 1 Schumacher, Henrik 1 Siebenborn, Martin 1 Slawig, Thomas 1 Tröltzsch, Fredi 1 Ullmann, Elisabeth 1 Ullmann, Sebastian 1 Vandewalle, Stefan G. 1 von Daniels, Nikolaus 1 Von, Daniels Nikolaus 1 Yan, Ningning
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### Serials

 10 Computational Optimization and Applications 6 Advances in Computational Mathematics 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Control and Cybernetics 5 SIAM Journal on Control and Optimization 5 Journal of Computational Mathematics 5 Optimization Methods & Software 4 Numerische Mathematik 4 Oberwolfach Reports 3 Inverse Problems 3 Journal of Computational Physics 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 ISNM. International Series of Numerical Mathematics 2 Numerical Functional Analysis and Optimization 2 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 2 Journal of Numerical Mathematics 2 GAMM-Mitteilungen 2 Mathematical Control and Related Fields 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Computational Mechanics 1 IMPACT of Computing in Science and Engineering 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Optimization 1 ETNA. Electronic Transactions on Numerical Analysis 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Interfaces and Free Boundaries 1 Flow, Turbulence and Combustion 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Optimization and Engineering 1 WSEAS Transactions on Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Mathematical Modelling: Theory and Applications
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### Fields

 87 Calculus of variations and optimal control; optimization (49-XX) 81 Numerical analysis (65-XX) 57 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 15 Systems theory; control (93-XX) 11 Operations research, mathematical programming (90-XX) 10 General and overarching topics; collections (00-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX)

### Citations contained in zbMATH Open

103 Publications have been cited 1,749 times in 1,125 Documents Cited by Year
Optimization with PDE constraints. Zbl 1167.49001
Hinze, M.; Pinnau, R.; Ulbrich, M.; Ulbrich, S.
2009
A variational discretization concept in control constrained optimization: The linear-quadratic case. Zbl 1074.65069
Hinze, M.
2005
Second order methods for optimal control of time-dependent fluid flow. Zbl 1012.49026
Hinze, Michael; Kunisch, Karl
2001
Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. Zbl 1079.65533
Hinze, Michael; Volkwein, Stefan
2005
Convergence of a finite element approximation to a state-constrained elliptic control problem. Zbl 1154.65055
Deckelnick, Klaus; Hinze, Michael
2007
Finite element approximation of Dirichlet boundary control for elliptic PDEs on two- and three-dimensional curved domains. Zbl 1203.49043
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2009
Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. Zbl 1191.49036
Hintermüller, Michael; Hinze, Michael
2009
Instantaneous control of backward-facing step flows. Zbl 0939.76027
Choi, Haecheon; Hinze, Michael; Kunisch, Karl
1999
Analysis of instantaneous control for the Burgers equation. Zbl 1022.49001
Hinze, M.; Volkwein, S.
2002
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. Zbl 1329.76168
Garcke, Harald; Hinze, Michael; Kahle, Christian
2016
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Zbl 1191.49040
Hinze, M.; Volkwein, S.
2008
Variational discretization for optimal control governed by convection dominated diffusion equations. Zbl 1212.65248
Hinze, Michael; Yan, Ningning; Zhou, Zhaojie
2009
An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. Zbl 1366.74070
Hintermüller, M.; Hinze, M.; Tber, M. H.
2011
Adaptive control of a wake flow using proper orthogonal decomposition. Zbl 1013.76028
Afanasiev, Konstantin; Hinze, Michael
2001
An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. Zbl 1291.65300
Hintermüller, M.; Hinze, M.; Kahle, C.
2013
A note on the approximation of elliptic control problems with bang-bang controls. Zbl 1239.49006
Deckelnick, Klaus; Hinze, Michael
2012
Second order methods for boundary control of the instationary Navier-Stokes system. Zbl 1042.35047
Hinze, Michael; Kunisch, Karl
2004
Finite element approximation of elliptic control problems with constraints on the gradient. Zbl 1161.65047
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2009
A posteriori error control of a state constrained elliptic control problem. Zbl 1161.65049
Günther, A.; Hinze, M.
2008
A priori error analysis for finite element approximation of parabolic optimal control problems with pointwise control. Zbl 1297.49050
Gong, Wei; Hinze, Michael; Zhou, Zhaojie
2014
Optimal control of the free boundary in a two-phase Stefan problem. Zbl 1115.80008
Hinze, Michael; Ziegenbalg, Stefan
2007
Numerical approximation of phase field based shape and topology optimization for fluids. Zbl 1322.35113
Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian
2015
A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier–Stokes system subject to control constraints. Zbl 1131.90073
Hintermüller, M.; Hinze, M.
2006
Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment. Zbl 1238.49046
Hinze, Michael; Schiela, Anton
2011
Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems. Zbl 1207.49037
Hinze, M.; Meyer, C.
2010
Finite element method and a priori error estimates for Dirichlet boundary control problems governed by parabolic PDEs. Zbl 1372.49004
Gong, Wei; Hinze, Michael; Zhou, Zhaojie
2016
A note on variational discretization of elliptic Neumann boundary control. Zbl 1301.49074
Hinze, Michael; Matthes, Ulrich
2009
Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations. Zbl 1157.65400
Deckelnick, K.; Hinze, M.
2008
Variational discretization of a parabolic control problem in the presence of pointwise state constraints. Zbl 1249.49038
Deckelnick, Klaus; Hinze, Michael
2011
Discretization of optimal control problems. Zbl 1356.49047
Hinze, Michael; Rösch, Arnd
2012
Elliptic control problems with gradient constraints – variational discrete versus piecewise constant controls. Zbl 1228.49035
Günther, Andreas; Hinze, Michael
2011
Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371
2017
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Zbl 1055.76027
Deckelnick, Klaus; Hinze, Michael
2004
Discrete concepts versus error analysis in PDE-constrained optimization. Zbl 1207.49005
Hinze, Michael; Tröltzsch, Fredi
2010
An optimal control approach to semiconductor design. Zbl 1173.49302
Hinze, Michael; Pinnau, René
2002
Identifying conductivity in electrical impedance tomography with total variation regularization. Zbl 1397.65238
Hinze, Michael; Kaltenbacher, Barbara; Quyen, Tran Nhan Tam
2018
Optimal control of the free boundary in a two-phase Stefan problem with flow driven by convection. Zbl 1123.49029
Hinze, Michael; Ziegenbalg, Stefan
2007
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
2012
Error estimates for parabolic optimal control problems with control and state constraints. Zbl 1273.49036
Gong, Wei; Hinze, Michael
2013
Instantaneous closed loop control of the Navier-Stokes system. Zbl 1099.49025
Hinze, M.
2005
The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization. Zbl 1244.49050
Hinze, Michael; Vierling, Morten
2012
POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. Zbl 1404.65264
Gräßle, Carmen; Hinze, Michael
2018
A nonlinear model predictive concept for control of two-phase flows governed by the Cahn-Hilliard Navier-Stokes system. Zbl 1264.93095
Hinze, Michael; Kahle, Christian
2013
Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs. Zbl 1269.65114
Deckelnick, Klaus; Hinze, Michael
2012
Optimization of semiconductor melts. Zbl 1098.76027
Bärwolff, Günter; Hinze, Michael
2006
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. Zbl 1406.35274
Garcke, Harald; Hinze, Michael; Kahle, Christian; Lam, Kei Fong
2018
Three control methods for time-dependent fluid flow. Zbl 0996.76025
Hinze, Michael; Kunisch, Karl
2000
Nested multigrid methods for time-periodic, parabolic optimal control problems. Zbl 1241.65061
Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan
2011
On the numerical approximation of unstable minimal surfaces with polygonal boundaries. Zbl 0858.65060
Hinze, Michael
1996
On suboptimal control strategies for the Navier-Stokes equations. Zbl 0912.49019
Hinze, Michael; Kunisch, Karl
1998
Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks. Zbl 1237.78038
Hinze, M.; Kunkel, M.
2012
Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122
Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W.
2012
Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001
2012
A regularization approach for an inverse source problem in elliptic systems from single Cauchy data. Zbl 1412.65040
Hinze, Michael; Hofmann, Bernd; Quyen, Tran Nhan Tam
2019
Discrete empirical interpolation in POD model order reduction of drift-diffusion equations in electrical networks. Zbl 1247.78039
Hinze, Michael; Kunkel, Martin
2012
Stability of semilinear elliptic optimal control problems with pointwise state constraints. Zbl 1258.49036
Hinze, M.; Meyer, C.
2012
A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier-Stokes system. Zbl 1086.49024
Hinze, Michael; Sternberg, Julia
2005
Second-order approach to optimal semiconductor design. Zbl 1176.82041
Hinze, M.; Pinnau, R.
2007
Control of weakly conductive fluids by near-wall Lorentz forces. Zbl 1122.76094
Hinze, M.
2007
A posteriori snapshot location for POD in optimal control of linear parabolic equations. Zbl 1417.49040
Alla, Alessandro; Grässle, Carmen; Hinze, Michael
2018
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach. Zbl 1352.49046
Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian; Lam, Kei Fong
2016
Matrix coefficient identification in an elliptic equation with the convex energy functional method. Zbl 1353.65115
Hinze, Michael; Quyen, Tran Nhan Tam
2016
Global minima for semilinear optimal control problems. Zbl 1354.49048
2016
A certified model reduction approach for robust parameter optimization with PDE constraints. Zbl 1477.35291
Alla, Alessandro; Hinze, Michael; Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan
2019
Newton’s method for tracking type control of the instationary Navier-Stokes equations. Zbl 1011.76019
Hinze, M.; Kunisch, K.
2000
A space-time multigrid method for optimal flow control. Zbl 1356.49046
Hinze, Michael; Köster, Michael; Turek, Stefan
2012
Trends in PDE constrained optimization. Zbl 1306.49001
2014
Error estimates in space and time for tracking-type control of the instationary Stokes system. Zbl 1059.93053
Deckelnick, Klaus; Hinze, Michael
2003
Finite element approximation of source term identification with TV-regularization. Zbl 1427.65344
Hinze, Michael; Quyen, Tran Nhan Tam
2019
Convergence analysis of Galerkin POD for linear second order evolution equations. Zbl 1290.65090
Herkt, Sabrina; Hinze, Michael; Pinnau, Rene
2013
POD model order reduction with space-adapted snapshots for incompressible flows. Zbl 1435.65157
Gräßle, Carmen; Hinze, Michael; Lang, Jens; Ullmann, Sebastian
2019
Error analysis for global minima of semilinear optimal control problems. Zbl 07006608
2018
On the numerical treatment of quasiminimal surfaces. Zbl 0791.65047
Hinze, M.
1993
Optimization models for semiconductor dopant profiling. Zbl 1115.82038
Burger, Martin; Hinze, Michael; Pinnau, Rene
2007
Crank-Nicolson time stepping and variational discretization of control-constrained parabolic optimal control problems. Zbl 1319.49045
von Daniels, Nikolaus; Hinze, Michael; Vierling, Morten
2015
A globalized semi-smooth Newton method for variational discretization of control constrained elliptic optimal control problems. Zbl 1356.49043
Hinze, Michael; Vierling, Morten
2012
A posteriori error representations for elliptic optimal control problems with control and state constraints. Zbl 1356.49056
Günther, Andreas; Hinze, Michael; Tber, Moulay Hicham
2012
Globalization of SQP-methods in control of the instationary Navier-Stokes equations. Zbl 1073.49025
Hintermüller, Michael; Hinze, Michael
2002
Optimal control of the drift diffusion model for semiconductor devices. Zbl 1027.82041
Hinze, Michael; Pinnau, René
2002
Mathematical tools in optimal semiconductor design. Zbl 1221.49056
Hinze, Michael; Pinnau, René
2007
Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. Zbl 1437.35575
Garcke, Harald; Hinze, Michael; Kahle, Christian
2019
Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state. Zbl 1394.74187
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2008
Adjoint shape optimization for fluid-structure interaction of ducted flows. Zbl 1461.76152
Heners, Jan Philipp; Radtke, L.; Hinze, M.; Düster, A.
2018
Space-time Newton-multigrid strategies for nonstationary distributed and boundary flow control problems. Zbl 1327.49044
Hinze, Michael; Köster, Michael; Turek, Stefan
2014
Control strategies for fluid flows – optimal versus suboptimal control. Zbl 1068.76512
Hinze, M.; Kunisch, K.
1998
On the numerical treatment of minimal surfaces with polygonal boundaries. Zbl 0876.49034
Hinze, Michael
1994
A memory-reduced implementation of the Newton-CG method in optimal control of nonlinear time-dependent PDEs. Zbl 1205.49039
Sternberg, Julia; Hinze, Michael
2010
Model order reduction for networks of ODE and PDE systems. Zbl 1266.93017
Hinze, Michael; Matthes, Ulrich
2013
Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier–Stokes equations. Zbl 1051.49017
Hinze, Michael; Slawig, Thomas
2003
POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots. Zbl 1427.65247
Gräßle, Carmen; Hinze, Michael; Scharmacher, Nicolas
2018
Global minima for optimal control of the obstacle problem. Zbl 1448.49004
2020
Differential stability of control-constrained optimal control problems for the Navier-Stokes equations. Zbl 1094.35090
Griesse, Roland; Hintermüller, Michael; Hinze, Michael
2005
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. Zbl 1458.92048
Agosti, A.; Ciarletta, P.; Garcke, H.; Hinze, M.
2020
Interfaces and free boundaries: analysis, control and simulation. Abstracts from the workshop held March 24–30, 2013. Zbl 1349.00157
2013
A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. Zbl 1327.49047
Deckelnick, Klaus; Hinze, Michael
2014
A remark on second-order methods in control of fluid flow. Zbl 1002.76025
Hinze, Michael
2001
Identification of matrix parameters in elliptic PDEs. Zbl 1318.49070
Deckelnick, Klaus; Hinze, Michael
2011
On a distributed control law with an application to the control of unsteady flow around a cylinder. Zbl 0934.35021
Hinze, Michael; Kauffmann, Andreas
1999
An optimal shape design problem for plates. Zbl 1394.74140
Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias
2017
Optimal and model predictive control of the Boussinesq approximation. Zbl 1239.49042
Hinze, Michael; Matthes, Ulrich
2007
Model order reduction by proper orthogonal decomposition. Zbl 1467.35021
Gräßle, Carmen; Hinze, Michael; Volkwein, Stefan
2021
Global minima for optimal control of the obstacle problem. Zbl 1448.49004
2020
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. Zbl 1458.92048
Agosti, A.; Ciarletta, P.; Garcke, H.; Hinze, M.
2020
A regularization approach for an inverse source problem in elliptic systems from single Cauchy data. Zbl 1412.65040
Hinze, Michael; Hofmann, Bernd; Quyen, Tran Nhan Tam
2019
A certified model reduction approach for robust parameter optimization with PDE constraints. Zbl 1477.35291
Alla, Alessandro; Hinze, Michael; Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan
2019
Finite element approximation of source term identification with TV-regularization. Zbl 1427.65344
Hinze, Michael; Quyen, Tran Nhan Tam
2019
POD model order reduction with space-adapted snapshots for incompressible flows. Zbl 1435.65157
Gräßle, Carmen; Hinze, Michael; Lang, Jens; Ullmann, Sebastian
2019
Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. Zbl 1437.35575
Garcke, Harald; Hinze, Michael; Kahle, Christian
2019
Identifying conductivity in electrical impedance tomography with total variation regularization. Zbl 1397.65238
Hinze, Michael; Kaltenbacher, Barbara; Quyen, Tran Nhan Tam
2018
POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. Zbl 1404.65264
Gräßle, Carmen; Hinze, Michael
2018
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. Zbl 1406.35274
Garcke, Harald; Hinze, Michael; Kahle, Christian; Lam, Kei Fong
2018
A posteriori snapshot location for POD in optimal control of linear parabolic equations. Zbl 1417.49040
Alla, Alessandro; Grässle, Carmen; Hinze, Michael
2018
Error analysis for global minima of semilinear optimal control problems. Zbl 07006608
2018
Adjoint shape optimization for fluid-structure interaction of ducted flows. Zbl 1461.76152
Heners, Jan Philipp; Radtke, L.; Hinze, M.; Düster, A.
2018
POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots. Zbl 1427.65247
Gräßle, Carmen; Hinze, Michael; Scharmacher, Nicolas
2018
A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. Zbl 07465689
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias
2018
Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371
2017
An optimal shape design problem for plates. Zbl 1394.74140
Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias
2017
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. Zbl 1329.76168
Garcke, Harald; Hinze, Michael; Kahle, Christian
2016
Finite element method and a priori error estimates for Dirichlet boundary control problems governed by parabolic PDEs. Zbl 1372.49004
Gong, Wei; Hinze, Michael; Zhou, Zhaojie
2016
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach. Zbl 1352.49046
Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian; Lam, Kei Fong
2016
Matrix coefficient identification in an elliptic equation with the convex energy functional method. Zbl 1353.65115
Hinze, Michael; Quyen, Tran Nhan Tam
2016
Global minima for semilinear optimal control problems. Zbl 1354.49048
2016
Numerical approximation of phase field based shape and topology optimization for fluids. Zbl 1322.35113
Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian
2015
Crank-Nicolson time stepping and variational discretization of control-constrained parabolic optimal control problems. Zbl 1319.49045
von Daniels, Nikolaus; Hinze, Michael; Vierling, Morten
2015
A priori error analysis for finite element approximation of parabolic optimal control problems with pointwise control. Zbl 1297.49050
Gong, Wei; Hinze, Michael; Zhou, Zhaojie
2014
Trends in PDE constrained optimization. Zbl 1306.49001
2014
Space-time Newton-multigrid strategies for nonstationary distributed and boundary flow control problems. Zbl 1327.49044
Hinze, Michael; Köster, Michael; Turek, Stefan
2014
A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. Zbl 1327.49047
Deckelnick, Klaus; Hinze, Michael
2014
An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. Zbl 1291.65300
Hintermüller, M.; Hinze, M.; Kahle, C.
2013
Error estimates for parabolic optimal control problems with control and state constraints. Zbl 1273.49036
Gong, Wei; Hinze, Michael
2013
A nonlinear model predictive concept for control of two-phase flows governed by the Cahn-Hilliard Navier-Stokes system. Zbl 1264.93095
Hinze, Michael; Kahle, Christian
2013
Convergence analysis of Galerkin POD for linear second order evolution equations. Zbl 1290.65090
Herkt, Sabrina; Hinze, Michael; Pinnau, Rene
2013
Model order reduction for networks of ODE and PDE systems. Zbl 1266.93017
Hinze, Michael; Matthes, Ulrich
2013
Interfaces and free boundaries: analysis, control and simulation. Abstracts from the workshop held March 24–30, 2013. Zbl 1349.00157
2013
A note on the approximation of elliptic control problems with bang-bang controls. Zbl 1239.49006
Deckelnick, Klaus; Hinze, Michael
2012
Discretization of optimal control problems. Zbl 1356.49047
Hinze, Michael; Rösch, Arnd
2012
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
2012
The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization. Zbl 1244.49050
Hinze, Michael; Vierling, Morten
2012
Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs. Zbl 1269.65114
Deckelnick, Klaus; Hinze, Michael
2012
Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks. Zbl 1237.78038
Hinze, M.; Kunkel, M.
2012
Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122
Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W.
2012
Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001
2012
Discrete empirical interpolation in POD model order reduction of drift-diffusion equations in electrical networks. Zbl 1247.78039
Hinze, Michael; Kunkel, Martin
2012
Stability of semilinear elliptic optimal control problems with pointwise state constraints. Zbl 1258.49036
Hinze, M.; Meyer, C.
2012
A space-time multigrid method for optimal flow control. Zbl 1356.49046
Hinze, Michael; Köster, Michael; Turek, Stefan
2012
A globalized semi-smooth Newton method for variational discretization of control constrained elliptic optimal control problems. Zbl 1356.49043
Hinze, Michael; Vierling, Morten
2012
A posteriori error representations for elliptic optimal control problems with control and state constraints. Zbl 1356.49056
Günther, Andreas; Hinze, Michael; Tber, Moulay Hicham
2012
Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy. Zbl 1236.92030
Frank, Martin; Herty, Michael; Hinze, Michael
2012
An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. Zbl 1366.74070
Hintermüller, M.; Hinze, M.; Tber, M. H.
2011
Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment. Zbl 1238.49046
Hinze, Michael; Schiela, Anton
2011
Variational discretization of a parabolic control problem in the presence of pointwise state constraints. Zbl 1249.49038
Deckelnick, Klaus; Hinze, Michael
2011
Elliptic control problems with gradient constraints – variational discrete versus piecewise constant controls. Zbl 1228.49035
Günther, Andreas; Hinze, Michael
2011
Nested multigrid methods for time-periodic, parabolic optimal control problems. Zbl 1241.65061
Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan
2011
Identification of matrix parameters in elliptic PDEs. Zbl 1318.49070
Deckelnick, Klaus; Hinze, Michael
2011
Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems. Zbl 1207.49037
Hinze, M.; Meyer, C.
2010
Discrete concepts versus error analysis in PDE-constrained optimization. Zbl 1207.49005
Hinze, Michael; Tröltzsch, Fredi
2010
A memory-reduced implementation of the Newton-CG method in optimal control of nonlinear time-dependent PDEs. Zbl 1205.49039
Sternberg, Julia; Hinze, Michael
2010
Optimization with PDE constraints. Zbl 1167.49001
Hinze, M.; Pinnau, R.; Ulbrich, M.; Ulbrich, S.
2009
Finite element approximation of Dirichlet boundary control for elliptic PDEs on two- and three-dimensional curved domains. Zbl 1203.49043
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2009
Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. Zbl 1191.49036
Hintermüller, Michael; Hinze, Michael
2009
Variational discretization for optimal control governed by convection dominated diffusion equations. Zbl 1212.65248
Hinze, Michael; Yan, Ningning; Zhou, Zhaojie
2009
Finite element approximation of elliptic control problems with constraints on the gradient. Zbl 1161.65047
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2009
A note on variational discretization of elliptic Neumann boundary control. Zbl 1301.49074
Hinze, Michael; Matthes, Ulrich
2009
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Zbl 1191.49040
Hinze, M.; Volkwein, S.
2008
A posteriori error control of a state constrained elliptic control problem. Zbl 1161.65049
Günther, A.; Hinze, M.
2008
Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations. Zbl 1157.65400
Deckelnick, K.; Hinze, M.
2008
Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state. Zbl 1394.74187
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
2008
Convergence of a finite element approximation to a state-constrained elliptic control problem. Zbl 1154.65055
Deckelnick, Klaus; Hinze, Michael
2007
Optimal control of the free boundary in a two-phase Stefan problem. Zbl 1115.80008
Hinze, Michael; Ziegenbalg, Stefan
2007
Optimal control of the free boundary in a two-phase Stefan problem with flow driven by convection. Zbl 1123.49029
Hinze, Michael; Ziegenbalg, Stefan
2007
Second-order approach to optimal semiconductor design. Zbl 1176.82041
Hinze, M.; Pinnau, R.
2007
Control of weakly conductive fluids by near-wall Lorentz forces. Zbl 1122.76094
Hinze, M.
2007
Optimization models for semiconductor dopant profiling. Zbl 1115.82038
Burger, Martin; Hinze, Michael; Pinnau, Rene
2007
Mathematical tools in optimal semiconductor design. Zbl 1221.49056
Hinze, Michael; Pinnau, René
2007
Optimal and model predictive control of the Boussinesq approximation. Zbl 1239.49042
Hinze, Michael; Matthes, Ulrich
2007
A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier–Stokes system subject to control constraints. Zbl 1131.90073
Hintermüller, M.; Hinze, M.
2006
Optimization of semiconductor melts. Zbl 1098.76027
Bärwolff, Günter; Hinze, Michael
2006
A variational discretization concept in control constrained optimization: The linear-quadratic case. Zbl 1074.65069
Hinze, M.
2005
Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. Zbl 1079.65533
Hinze, Michael; Volkwein, Stefan
2005
Instantaneous closed loop control of the Navier-Stokes system. Zbl 1099.49025
Hinze, M.
2005
A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier-Stokes system. Zbl 1086.49024
Hinze, Michael; Sternberg, Julia
2005
Differential stability of control-constrained optimal control problems for the Navier-Stokes equations. Zbl 1094.35090
Griesse, Roland; Hintermüller, Michael; Hinze, Michael
2005
Second order methods for boundary control of the instationary Navier-Stokes system. Zbl 1042.35047
Hinze, Michael; Kunisch, Karl
2004
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Zbl 1055.76027
Deckelnick, Klaus; Hinze, Michael
2004
Error estimates in space and time for tracking-type control of the instationary Stokes system. Zbl 1059.93053
Deckelnick, Klaus; Hinze, Michael
2003
Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier–Stokes equations. Zbl 1051.49017
Hinze, Michael; Slawig, Thomas
2003
Analysis of instantaneous control for the Burgers equation. Zbl 1022.49001
Hinze, M.; Volkwein, S.
2002
An optimal control approach to semiconductor design. Zbl 1173.49302
Hinze, Michael; Pinnau, René
2002
Globalization of SQP-methods in control of the instationary Navier-Stokes equations. Zbl 1073.49025
Hintermüller, Michael; Hinze, Michael
2002
Optimal control of the drift diffusion model for semiconductor devices. Zbl 1027.82041
Hinze, Michael; Pinnau, René
2002
Second order methods for optimal control of time-dependent fluid flow. Zbl 1012.49026
Hinze, Michael; Kunisch, Karl
2001
Adaptive control of a wake flow using proper orthogonal decomposition. Zbl 1013.76028
Afanasiev, Konstantin; Hinze, Michael
2001
A remark on second-order methods in control of fluid flow. Zbl 1002.76025
Hinze, Michael
2001
Three control methods for time-dependent fluid flow. Zbl 0996.76025
Hinze, Michael; Kunisch, Karl
2000
Newton’s method for tracking type control of the instationary Navier-Stokes equations. Zbl 1011.76019
Hinze, M.; Kunisch, K.
2000
Instantaneous control of backward-facing step flows. Zbl 0939.76027
Choi, Haecheon; Hinze, Michael; Kunisch, Karl
1999
On a distributed control law with an application to the control of unsteady flow around a cylinder. Zbl 0934.35021
Hinze, Michael; Kauffmann, Andreas
1999
On suboptimal control strategies for the Navier-Stokes equations. Zbl 0912.49019
Hinze, Michael; Kunisch, Karl
1998
Control strategies for fluid flows – optimal versus suboptimal control. Zbl 1068.76512
Hinze, M.; Kunisch, K.
1998
...and 3 more Documents
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### Cited by 1,516 Authors

 53 Hinze, Michael 26 Tröltzsch, Fredi 25 Kunisch, Karl 23 Volkwein, Stefan 22 Vexler, Boris 22 Wachsmuth, Daniel 21 Casas, Eduardo 19 Pinnau, René 19 Rösch, Arnd 18 Gong, Wei 17 Chen, Yanping 16 Hintermüller, Michael 16 Neitzel, Ira 16 Stoll, Martin 15 Mateos, Mariano 15 Yan, Ningning 14 Benner, Peter 14 Kahle, Christian 13 Brenner, Susanne Cecelia 13 Wollner, Winnifried 13 Zhou, Zhaojie 12 Antil, Harbir 12 Apel, Thomas 12 Otárola, Enrique 12 Ulbrich, Stefan 11 Huang, Yunqing 11 Wachsmuth, Gerd 10 Ghattas, Omar N. 10 Pfefferer, Johannes 10 Schiela, Anton 9 Garcke, Harald 9 Guan, Hongbo 9 Singler, John R. 9 Ulbrich, Michael 8 Deng, Yongbo 8 Karasözen, Bülent 8 Luo, Zhendong 8 Neytcheva, Maya G. 8 Shen, Chunyu 8 Sinha, Rajen Kumar 8 Surowiec, Thomas 8 Zhang, Zhiyue 7 Alla, Alessandro 7 Axelsson, Axel Owe Holger 7 Burger, Martin 7 Chrysafinos, Konstantinos 7 Clason, Christian 7 De los Reyes, Juan Carlos 7 Deckelnick, Klaus 7 Gugercin, Serkan 7 Kouri, Drew P. 7 Lapin, Aleksandr Vasil’evich 7 Liu, Zhenyu 7 Quyen, Tran Nhan Tam 7 Willcox, Karen E. 7 Yücel, Hamdullah 6 Đinh Nho Hào 6 Efendiev, Yalchin R. 6 Grepl, Martin A. 6 Günther, Andreas 6 Herzog, Roland 6 Mehlitz, Patrick 6 Navon, Ionel Michael 6 Nicaise, Serge 6 Rozza, Gianluigi 6 Sama, Miguel 6 Shi, Dongyang 6 Steinbach, Olaf 6 Totzeck, Claudia 6 Vandewalle, Stefan G. 6 Veroy, Karen 6 Weiser, Martin 6 Winkler, Max 6 Wu, Yihui 6 Zhang, Yangwen 5 Ahmad Ali, Ahmad 5 Akman, Tuğba 5 Allendes, Alejandro 5 Alt, Walter 5 Christof, Constantin 5 Gao, Anna 5 Gudi, Thirupathi 5 Haasdonk, Bernard 5 Heinkenschloss, Matthias 5 Huang, Fenglin 5 Liu, Jun 5 Mang, Andreas 5 Mehrmann, Volker 5 Meyers, Johan 5 Pörner, Frank 5 Prüfert, Uwe 5 Rocca, Elisabetta 5 Shakya, Pratibha 5 Sprekels, Jürgen 5 Stadler, Georg 5 Tang, Yuelong 5 Tian, Lixin 5 Xiao, Mingqing 5 Yilmaz, Fikriye Nuray 4 Borzì, Alfio ...and 1,416 more Authors
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### Cited in 177 Serials

 73 Computational Optimization and Applications 48 SIAM Journal on Scientific Computing 46 Journal of Computational Physics 42 SIAM Journal on Control and Optimization 39 Journal of Computational and Applied Mathematics 37 Journal of Scientific Computing 34 Computers & Mathematics with Applications 29 Computer Methods in Applied Mechanics and Engineering 27 Numerische Mathematik 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 Numerical Functional Analysis and Optimization 22 SIAM Journal on Numerical Analysis 22 Applied Numerical Mathematics 21 Inverse Problems 20 Applied Mathematics and Optimization 19 Journal of Mathematical Analysis and Applications 18 Applied Mathematics and Computation 18 Optimization Methods & Software 17 Advances in Computational Mathematics 17 Optimization and Engineering 16 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Numerical Algorithms 14 Mathematical Control and Related Fields 13 Journal of Optimization Theory and Applications 11 Optimization 11 SIAM/ASA Journal on Uncertainty Quantification 9 SIAM Journal on Optimization 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Mathematics of Computation 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 International Journal of Computer Mathematics 8 Mathematical Programming. Series A. Series B 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Advances in Applied Mathematics and Mechanics 7 Journal of Fluid Mechanics 7 Automatica 7 Calcolo 7 Numerical Methods for Partial Differential Equations 7 Inverse Problems in Science and Engineering 7 Communications in Computational Physics 6 Applicable Analysis 6 Computers and Fluids 6 Optimal Control Applications & Methods 6 Systems & Control Letters 5 International Journal of Control 5 International Journal for Numerical Methods in Fluids 5 SIAM Review 5 Computational and Applied Mathematics 5 Computational Geosciences 5 Lobachevskii Journal of Mathematics 5 Nonlinear Analysis. Real World Applications 5 Computational Methods in Applied Mathematics 5 International Journal of Numerical Analysis and Modeling 5 GAMM-Mitteilungen 4 International Journal for Numerical Methods in Engineering 4 Mathematics and Computers in Simulation 4 Journal of Inverse and Ill-Posed Problems 4 Journal of Inequalities and Applications 4 Mathematical and Computer Modelling of Dynamical Systems 4 Journal of Numerical Mathematics 3 Journal of Engineering Mathematics 3 Journal of Mathematical Biology 3 Mathematical Methods in the Applied Sciences 3 Computational Mechanics 3 Journal of Global Optimization 3 Calculus of Variations and Partial Differential Equations 3 Computing and Visualization in Science 3 Vietnam Journal of Mathematics 3 Journal of Systems Science and Complexity 3 Journal of Applied Mathematics 3 SIAM Journal on Applied Dynamical Systems 3 Oberwolfach Reports 3 Boundary Value Problems 3 Inverse Problems and Imaging 3 Discrete and Continuous Dynamical Systems. Series S 3 Science China. Mathematics 3 Journal of Mathematics in Industry 3 AIMS Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Mathematical Physics 2 Journal of Differential Equations 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Physica D 2 Applications of Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Russian Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Mathematical Problems in Engineering 2 European Journal of Control 2 Multibody System Dynamics 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics and Computing 2 Multiscale Modeling & Simulation 2 Structural and Multidisciplinary Optimization 2 Mediterranean Journal of Mathematics 2 Journal of Industrial and Management Optimization 2 Frontiers of Mathematics in China ...and 77 more Serials
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### Cited in 33 Fields

 720 Calculus of variations and optimal control; optimization (49-XX) 709 Numerical analysis (65-XX) 445 Partial differential equations (35-XX) 203 Fluid mechanics (76-XX) 139 Operations research, mathematical programming (90-XX) 120 Systems theory; control (93-XX) 59 Mechanics of deformable solids (74-XX) 49 Biology and other natural sciences (92-XX) 26 Classical thermodynamics, heat transfer (80-XX) 25 Optics, electromagnetic theory (78-XX) 20 Statistics (62-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Operator theory (47-XX) 17 Probability theory and stochastic processes (60-XX) 17 Computer science (68-XX) 16 Dynamical systems and ergodic theory (37-XX) 11 Geophysics (86-XX) 10 Ordinary differential equations (34-XX) 9 Information and communication theory, circuits (94-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Integral equations (45-XX) 6 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Quantum theory (81-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX)