Publikationen

 

Google Scholar Citations
MathSciNet Citations
MathSciNet ID

Publication list at UHH

 

Recent material

Peter Benner, Tobias Breiten, Heike Faßbender, Michael Hinze, Tatjana Stykel, and Ralf Zimmermann (Eds.). Model Reduction of Complex Dynamical Systems. International Series of Numerical Mathematics, Vol. 171, Birkhäuser Basel/Springer Nature, 2021.

Evelyn Herberg, Michael Hinze: Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation. arXiv:2106.14795 (2021)

Peter Marvin Müller, Niklas Kühl, Martin Siebenborn, Klaus Deckelnick, Michael Hinze, Thomas Rung: A Novel p-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. arXiv:2103.14735 (2021)

Klaus Deckelnick, Philip J. Herbert, Michael Hinze: A novel W1, approach to shape optimisation with Lipschitz domains. arXiv:2103.13857 (2021)

Michael Hinze, Denis Korolev: A space-time certified reduced basis method for quasilinear parabolic partial differential equations. Adv Comput Math 47, 36 (2021). https://doi.org/10.1007/s10444-021-09860-z arXiv:2004.00548

Niklas Kühl, Jörn Kröger, Martin Siebenborn, Michael Hinze, Thomas Rung: Adjoint Complement to the Volume-of-Fluid Method for Immiscible Flows. Journal of ComputationalPhysics 440 (2021)  https://doi.org/10.1016/j.jcp.2021.110411  arXiv:2009.03957

Peter Marvin Müller, Niklas Kühl, Martin Siebenborn, Klaus Deckelnick, Michael Hinze, Thomas Rung. A Novel p-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. arXiv:2103.14735

Klaus Deckelnick, Philip J. Herbert, Michael Hinze.  A novel W1, approach to shape optimisation with Lipschitz domains. arXiv:2103.13857

Kulchytska-Ruchka, Iryna ; Schöps, Sebastian ; Hinze, Michael ; Friedhoff, Stephanie ; Ulbrich, Stefan ; Rain, Oliver. PASIROM: Parallel Simulation and Robust Optimization of Electro-Mechanical Energy Converters. In Success Stories on Mathematics in Industry. Springer, 2021.

Alessandro Alla, Carmen Gräßle, Michael Hinze: Time adaptivity in model predictive control. arXiv:2009.01332 (2020)

Ahmad Ahmad Ali, Michael Hinze, Heiko Kröner: Optimal control of elliptic surface PDEs with pointwise bounds on the state, IMA Journal of Numerical Analysis, Volume 40:226–246 (2020)

Evelyn Herberg, Michael Hinze: Variational discretization approach applied to an optimal control problem with bounded measure controls. arXiv:2003.14380 (2020) (accepted for publication)

N. Kühl, M. Hinze, T. Rung: Cahn-Hilliard Navier-Stokes Simulations for Marine Free-Surface Flows. arXiv:2002.04885 (2020) (accepted for publication in Experimental and Computational Multiphase Flow).

M. Hinze, D. Korolev: Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors. arXiv:2002.04288 (2020) (accepted for publication in ISNM)

A. Agosti, P. Ciarletta, H. Garcke, M. Hinze: Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. M2AN (M2AN-Link).

C. Gräßle, M. Hinze, S. Volkwein: Model Order Reduction by Proper Orthogonal Decomposition. arXiv:1906.05188 (2019) 

C. Gräßle, M. Hintermüller, M. Hinze, T. Keil: Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System. arXiv:1907.04285 (2019)

E. Herberg, M. Hinze, H. Schumacher: Maximal discrete sparsity in parabolic optimal control with measures. arXiv:1804.10549 (2018), to appear in MCRF.

A. Ahmad Ali, M. Hinze: Reduced basis methods- an application to variational discretization of parametrized elliptic optimal control problems. SISC, accepted for publication. arXiv:1808.05687 (2018).

N. Kühl, P. M. Müller, A., M. Hinze, T. Rung: Decoupling of Control and Force Objective in Adjoint-Based Fluid Dynamic Shape Optimization.. AIAA Journal (2019), arXiv:1902.04918

M. Hinze and T. N. T. Quyen: Finite element approximation of source
term identification with TV-regularization. arXiv:1901.10278 (2019), Inverse Problems 35 (2019)

C. Gräßle, M. Hinze, J. Lang, S. Ullmann: POD model order reduction with space-adapted snapshots for incompressible flows. arXiv:1810.03892 (2018), to appear in ACOM.

A. Ahmad Ali,K. Deckelnick, and M. Hinze: Global minima for optimal control of the obstacle problem. arXiv:1810.08556 (2018), to appear in ESAIM: Control, Optimisation and Calculus of Variations (COCV).

A. Ahmad Ali,K. Deckelnick, and M. Hinze: Sufficient conditions for unique global solutions in optimal control of semilinear equations with C1nonlinearity. arXiv:1902.09639, to appear in Control & Cybernetics.

Michael Hinze, Heiko Kröner: Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints. arXiv:1604.07658 (2016)

 

 

 

 

Publications in the UKO database

 

2019

vonDaniels2019VDO
von Daniels, Nikolaus; Hinze, Michael (2019): Variational discretization of a control-constrained parabolic bang-bang optimal control problem. In: J. Comput. Math.. Bd. 37. Nr. 3. S. 361--387.

Garcke2019DIA
Garcke, Harald; Hinze, Michael; Kahle, Christian (2019): Diffuse interface approaches in atmosphere and ocean--- modeling and numerical implementation. In: Energy transfers in atmosphere and ocean. Springer, Cham. Bd. 1. S. 287--307.

Hinze2019ARA
Hinze, Michael; Hofmann, Bernd; Quyen, Tran Nhan Tam (2019): A regularization approach for an inverse source problem in elliptic systems from single Cauchy data. In: Numer. Funct. Anal. Optim.. Bd. 40. Nr. 9. S. 1080--1112.

Garcke2019OCO
Garcke, Harald; Hinze, Michael; Kahle, Christian (2019): Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. In: ESAIM: COCV. Bd. 25. S. 13.

2018

Graessle2018PRM
Gräß le, Carmen; Hinze, Michael (2018): POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. In: Adv. Comput. Math.. Bd. 44. Nr. 6. S. 1941--1978.

Garcke2018APF
Garcke, Harald; Hinze, Michael; Kahle, Christian; Lam, Kei Fong (2018): A phase field approach to shape optimization in Navier- Stokes flow with integral state constraints. In: Adv. Comput. Math.. Bd. 44. Nr. 5. S. 1345--1383.

Benner2018MRO
Benner, Peter; Faß bender, Heike; Hinze, Michael; Stykel, Tatjana; Zimmermann, Ralf (2018): Model reduction of complex dynamical systems: editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11--13, 2017. In: Adv. Comput. Math.. Bd. 44. Nr. 6. S. 1687--1691.

Alla2018APS
Alla, Alessandro; Grässle, Carmen; Hinze, Michael (2018): A posteriori snapshot location for POD in optimal control of linear parabolic equations. In: ESAIM Math. Model. Numer. Anal.. Bd. 52. Nr. 5. S. 1847--1873.

AhmadAli2018EAF
Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael (2018): Error analysis for global minima of semilinear optimal control problems. In: Math. Control Relat. Fields. Bd. 8. Nr. 1. S. 195--215.

Hintermueller2018AGD
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias (2018): A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard- Navier-Stokes system. In: Optim. Eng.. Bd. 19. Nr. 3. S. 629--662.

Hinze2018ICI
Hinze, Michael; Kaltenbacher, Barbara; Quyen, Tran Nhan Tam (2018): Identifying conductivity in electrical impedance tomography with total variation regularization. In: Numer. Math.. Bd. 138. Nr. 3. S. 723--765.

Hinze2018OCO
Hinze, Michael; Kahle, Christian (2018): Optimal control of two-phase flow with different densities. In: Oberwolfach Reports. Bd. 14. Nr. 1.

2017

Hintermueller2017FAA
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias (2017): Fully adaptive and integrated numerical methods for. In: Transport processes at fluidic interfaces. Birkhäuser/Springer, Cham. S. 305--353.

Deckelnick2017AOS
Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias (2017): An optimal shape design problem for plates. In: SIAM J. Numer. Anal.. Bd. 55. Nr. 1. S. 109--130.

AhmadAli2017MMC1
Ahmad Ali, Ahmad; Ullmann, Elisabeth; Hinze, Michael (2017): Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. In: SIAM/ASA J. Uncertain. Quantif.. Bd. 5. Nr. 1. S. 466--492.

Hinze2017MOR
Hinze, Michael; Kunkel, Martin; Matthes, Ulrich; Vierling, Morten (2017): Model order reduction of integrated circuits in electrical networks. In: System reduction for nanoscale IC design. Springer, Cham. Bd. 20. S. 1--37.

2016

Gong2016FEM
Gong, Wei; Hinze, Michael; Zhou, Zhaojie (2016): Finite element method and a priori error estimates for Dirichlet boundary control problems governed by parabolic PDEs. In: J. Sci. Comput.. Bd. 66. Nr. 3. S. 941--967.

Garcke2016SOF
Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian; Lam, Kei Fong (2016): Shape optimization for surface functionals in Navier- Stokes flow using a phase field approach. In: Interfaces Free Bound.. Bd. 18. Nr. 2. S. 219--261.

Garcke2016ASA
Garcke, Harald; Hinze, Michael; Kahle, Christian (2016): A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. In: Appl. Numer. Math.. Bd. 99. S. 151--171.

Hinze2016MCI
Hinze, Michael; Quyen, Tran Nhan Tam (2016): Matrix coefficient identification in an elliptic equation with the convex energy functional method. In: Inverse Problems. Bd. 32. Nr. 8. S. 085007, 29.

AhmadAli2016GMF
Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael (2016): Global minima for semilinear optimal control problems. In: Comput. Optim. Appl.. Bd. 65. Nr. 1. S. 261--288.

Garcke2016OCO
Garcke, Harald; Hinze, Michael; Kahle, Christian (2016): Optimal control of time discrete two-phase flow governed by a diffuse interface model. In: PAMM. Bd. 16. Nr. 1. S. 785-786.

2015

Garcke2015NAO
Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian (2015): Numerical approximation of phase field based shape and topology optimization for fluids. In: SIAM J. Sci. Comput.. Bd. 37. Nr. 4. S. A1846--A1871.

Benner2015ITT
Benner, Peter; Herzog, Roland; Hinze, Michael; Rösch, Arnd; Schiela, Anton; Schulz, Volker (2015): Introduction to the special issue for EUCCO 2013. In: Comput. Optim. Appl.. Bd. 62. Nr. 1. S. 1--3.

vonDaniels2015CTS
von Daniels, Nikolaus; Hinze, Michael; Vierling, Morten (2015): Crank-Nicolson time stepping and variational discretization of control-constrained parabolic optimal control problems. In: SIAM J. Control Optim.. Bd. 53. Nr. 3. S. 1182--1198.

2014

Gong2014APE
Gong, Wei; Hinze, Michael; Zhou, Zhaojie (2014): A priori error analysis for finite element approximation of parabolic optimal control problems with pointwise control. In: SIAM J. Control Optim.. Bd. 52. Nr. 1. S. 97--119.

Deckelnick2014AEB
Deckelnick, Klaus; Hinze, Michael (2014): A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints. In: Trends in PDE constrained optimization. Birkhäuser/Springer, Cham. Bd. 165. S. 365--382.

Hinze2014SNS
Hinze, Michael; Köster, Michael; Turek, Stefan (2014): Space-time Newton-multigrid strategies for nonstationary distributed and boundary flow control problems. In: Trends in PDE constrained optimization. Birkhäuser/Springer, Cham. Bd. 165. S. 383--401.

Hinze2014MPC
Hinze, Michael; Kahle, Christian (2014): Model Predictive Control of two-phase flow using a diffuse interface approach. In: PAMM. Bd. 14. Nr. 1. S. 731-732.

2013

Gong2013EEF
Gong, Wei; Hinze, Michael (2013): Error estimates for parabolic optimal control problems with control and state constraints. In: Comput. Optim. Appl.. Bd. 56. Nr. 1. S. 131--151.

Hinze2013MOR
Hinze, Michael; Matthes, Ulrich (2013): Model order reduction for networks of ODE and PDE systems. In: System modeling and optimization. Springer, Heidelberg. Bd. 391. S. 92--101.

Herkt2013CAO
Herkt, Sabrina; Hinze, Michael; Pinnau, Rene (2013): Convergence analysis of Galerkin POD for linear second order evolution equations. In: Electron. Trans. Numer. Anal.. Bd. 40. S. 321--337.

Hinze2013ANM
Hinze, Michael; Kahle, Christian (2013): A nonlinear model predictive concept for control of two- phase flows governed by the Cahn-Hilliard Navier-Stokes system. In: System modeling and optimization. Springer, Heidelberg. Bd. 391. S. 348--357.

Hinze2013ICO
Hinze, Michael; Kahle, Christian (2013): Instantaneous control of two-phase flow with different densities. In: Oberwolfach Reports. Bd. 10. Nr. 1.

Hinze2013MPC
Hinze, Michael; Kahle, Christian (2013): Model predictive control of variable density multiphase flow governed by diffuse interface models. In: Proceedings of the first IFAC Workshop on Control of Systems modeled by Partial Differential Equations. Bd. 1. Nr. 1. S. 127--132.

Hintermueller2013AAF
Hintermüller, Michael; Kahle, Christian; Hinze, Michael (2013): An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. In: J. Comput. Phys.. Bd. 235. S. 810--827.

2012

Hintermueller2012WBA
Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. (2012): Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state- constraints. In: J. Comput. Math.. Bd. 30. Nr. 2. S. 101--123.

Deckelnick2012CAE
Deckelnick, Klaus; Hinze, Michael (2012): Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs. In: Inverse Problems. Bd. 28. Nr. 11. S. 115015, 15.

Deckelnick2012ANO
Deckelnick, Klaus; Hinze, Michael (2012): A note on the approximation of elliptic control problems with bang-bang controls. In: Comput. Optim. Appl.. Bd. 51. Nr. 2. S. 931--939.

Guenther2012APE
Günther, Andreas; Hinze, Michael; Tber, Moulay Hicham (2012): A posteriori error representations for elliptic optimal control problems with control and state constraints. In: Constrained optimization and optimal control for partial differential equations. Birkhäuser/Springer Basel AG, Basel. Bd. 160. S. 303--317.

Frank2012ICL
Frank, Martin; Herty, Michael; Hinze, Michael (2012): Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy. In: ZAMM Z. Angew. Math. Mech.. Bd. 92. Nr. 1. S. 8--24.

Hinze2012DOO
Hinze, Michael; Rösch, Arnd (2012): Discretization of optimal control problems. In: Constrained optimization and optimal control for partial differential equations. Birkhäuser/Springer Basel AG, Basel. Bd. 160. S. 391--430.

Hinze2012AGS
Hinze, Michael; Vierling, Morten (2012): A globalized semi-smooth Newton method for variational discretization of control constrained elliptic optimal control problems. In: Constrained optimization and optimal control for partial differential equations. Birkhäuser/Springer Basel AG, Basel. Bd. 160. S. 171--182.

Hinze2012OCO
Hinze, Michael; Vierling, Morten (2012): Optimal control of the Laplace-Beltrami operator on compact surfaces: concept and numerical treatment. In: J. Comput. Math.. Bd. 30. Nr. 4. S. 392--403.

Hinze2012TSN
Hinze, Michael; Vierling, Morten (2012): The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization. In: Optim. Methods Softw.. Bd. 27. Nr. 6. S. 933--950.

Hinze2012RBS
Hinze, Michael; Kunkel, Martin (2012): Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks. In: ZAMM Z. Angew. Math. Mech.. Bd. 92. Nr. 2. S. 91--104.

Hinze2012ASM
Hinze, Michael; Köster, Michael; Turek, Stefan (2012): A space-time multigrid method for optimal flow control. In: Constrained optimization and optimal control for partial differential equations. Birkhäuser/Springer Basel AG, Basel. Bd. 160. S. 147--170.

2011

Guenther2011ECP
Günther, Andreas; Hinze, Michael (2011): Elliptic control problems with gradient constraints--- variational discrete versus piecewise constant controls. In: Comput. Optim. Appl.. Bd. 49. Nr. 3. S. 549--566.

Deckelnick2011VDO
Deckelnick, Klaus; Hinze, Michael (2011): Variational discretization of parabolic control problems in the presence of pointwise state constraints. In: J. Comput. Math.. Bd. 29. Nr. 1. S. 1--15.

Deckelnick2011IOM
Deckelnick, Klaus; Hinze, Michael (2011): Identification of matrix parameters in elliptic PDEs. In: Control Cybernet.. Bd. 40. Nr. 4. S. 957--969.

Abbeloos2011NMM
Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan (2011): Nested multigrid methods for time-periodic, parabolic optimal control problems. In: Comput. Vis. Sci.. Bd. 14. Nr. 1. S. 27--38.

Hinze2011DOI
Hinze, Michael; Schiela, Anton (2011): Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment. In: Comput. Optim. Appl.. Bd. 48. Nr. 3. S. 581--600.

Hinze2011PMO
Hinze, Michael; Kunkel, Martin; Vierling, Morten (2011): POD model order reduction of drift-diffusion equations in electrical networks. In: Model reduction for circuit simulation. Springer, Dordrecht. Bd. 74. S. 177--192.

2010

Hinze2010POT
Hinze, Michael; Schulz, Volker (2010): Preface of the guest-editors [PDE constrained optimization]. In: GAMM-Mitt.. Bd. 33. Nr. 2. S. 131--132.

Sternberg2010AMI
Sternberg, Julia; Hinze, Michael (2010): A memory-reduced implementation of the Newton-CG method in optimal control of nonlinear time-dependent PDEs. In: Optim. Methods Softw.. Bd. 25. Nr. 4-6. S. 553--571.

Hinze2010DCV
Hinze, Michael; Tröltzsch, Fredi (2010): Discrete concepts versus error analysis in PDE-constrained optimization. In: GAMM-Mitt.. Bd. 33. Nr. 2. S. 148--162.

2009

Hintermueller2009MRI
Hintermüller, Michael; Hinze, Michael (2009): Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. In: SIAM J. Numer. Anal.. Bd. 47. Nr. 3. S. 1666--1683.

Deckelnick2009FEA1
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael (2009): Finite element approximation of elliptic control problems with constraints on the gradient. In: Numer. Math.. Bd. 111. Nr. 3. S. 335--350.

Deckelnick2009FEA
Deckelnick, Klaus; Günther, Andreas; Hinze, Michael (2009): Finite element approximation of Dirichlet boundary control for elliptic PDEs on two- and three-dimensional curved domains. In: SIAM J. Control Optim.. Bd. 48. Nr. 4. S. 2798--2819.

Hinze2009ANO
Hinze, Michael; Matthes, Ulrich (2009): A note on variational discretization of elliptic Neumann boundary control. In: Control Cybernet.. Bd. 38. Nr. 3. S. 577--591.

Hinze2009VDF
Hinze, Michael; Yan, Ningning; Zhou, Zhaojie (2009): Variational discretization for optimal control governed by convection dominated diffusion equations. In: J. Comput. Math.. Bd. 27. Nr. 2-3. S. 237--253.

2007

Deckelnick2007COA
Deckelnick, Klaus; Hinze, Michael (2007): Convergence of a finite element approximation to a state-constrained elliptic control problem. In: SIAM J. Numer. Anal.. Bd. 45. Nr. 5. S. 1937--1953.

Burger2007OMF
Burger, Martin; Hinze, Michael; Pinnau, Rene (2007): Optimization models for semiconductor dopant profiling. In: Transport phenomena and kinetic theory. Birkhäuser Boston, Boston, MA. S. 91--115.

Hinze2007OAM
Hinze, Michael; Matthes, Ulrich (2007): Optimal and model predictive control of the Boussinesq approximation. In: Control of coupled partial differential equations. Birkhäuser, Basel. Bd. 155. S. 149--174.

Hinze2007OCO1
Hinze, Michael; Ziegenbalg, Stefan (2007): Optimal control of the free boundary in a two-phase Stefan problem. In: J. Comput. Phys.. Bd. 223. Nr. 2. S. 657--684.

Hinze2007MTI
Hinze, Michael; Pinnau, Rene (2007): Mathematical tools in optimal semiconductor design. In: Bull. Inst. Math. Acad. Sin. (N.S.). Bd. 2. Nr. 2. S. 569--586.

Hinze2007OCO
Hinze, Michael; Ziegenbalg, Stefan (2007): Optimal control of the free boundary in a two-phase Stefan problem with flow driven by convection. In: ZAMM Z. Angew. Math. Mech.. Bd. 87. Nr. 6. S. 430--448.

2006

Baerwolff2006OOS
Bärwolff, Günter; Hinze, Michael (2006): Optimization of semiconductor melts. In: ZAMM Z. Angew. Math. Mech.. Bd. 86. Nr. 6. S. 423--437.

Hinze2006AOM
Hinze, Michael; Walther, Andrea; Sternberg, Julia (2006): An optimal memory-reduced procedure for calculating adjoints of the instationary Navier-Stokes equations. In: Optimal Control Appl. Methods. Bd. 27. Nr. 1. S. 19--40.

2005

Griesse2005DSO
Griesse, Roland; Hintermüller, Michael; Hinze, Michael (2005): Differential stability of control-constrained optimal control problems for the Navier-Stokes equations. In: Numer. Funct. Anal. Optim.. Bd. 26. Nr. 7-8. S. 829--850.

Hinze2005AAA
Hinze, Michael; Sternberg, Julia (2005): A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier-Stokes system. In: Optim. Methods Softw.. Bd. 20. Nr. 6. S. 645--663.

Hinze2005POD
Hinze, Michael; Volkwein, Stefan (2005): Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. In: Dimension reduction of large-scale systems. Springer, Berlin. Bd. 45. S. 261--306.

2004

Deckelnick2004SAE
Deckelnick, Klaus; Hinze, Michael (2004): Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. In: Numer. Math.. Bd. 97. Nr. 2. S. 297--320.

Hinze2004SOM
Hinze, Michael; Kunisch, Karl (2004): Second order methods for boundary control of the instationary Navier-Stokes system. In: ZAMM Z. Angew. Math. Mech.. Bd. 84. Nr. 3. S. 171--187.

Baerwolff2004OOA
Bärwolff, Günter; Hinze, Michael (2004): Optimization of a thermal coupled flow problem. In: WSEAS Trans. Math.. Bd. 3. Nr. 4. S. 794--800.

2003

Hinze2003AGC
Hinze, Michael; Slawig, Thomas (2003): Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations. In: Optim. Methods Softw.. Bd. 18. Nr. 3. S. 299--315.

2002

Hintermueller2002GOS
Hintermüller, Michael; Hinze, Michael (2002): Globalization of SQP-methods in control of the instationary Navier-Stokes equations. In: M2AN Math. Model. Numer. Anal.. Bd. 36. Nr. 4. S. 725--746.

Hinze2002AOC
Hinze, Michael; Pinnau, Rene (2002): An optimal control approach to semiconductor design. In: Math. Models Methods Appl. Sci.. Bd. 12. Nr. 1. S. 89--107.

Hinze2002OCO
Hinze, Michael; Pinnau, Rene (2002): Optimal control of the drift diffusion model for semiconductor devices. In: Optimal control of complex structures (Oberwolfach, 2000). Birkhäuser, Basel. Bd. 139. S. 95--106.

2001

Hinze2001SOM
Hinze, Michael; Kunisch, Karl (2001): Second order methods for optimal control of time-dependent fluid flow. In: SIAM J. Control Optim.. Bd. 40. Nr. 3. S. 925--946.

Afanasiev2001ACO
Afanasiev, Konstantin; Hinze, Michael (2001): Adaptive control of a wake flow using proper orthogonal decomposition. In: Shape optimization and optimal design (Cambridge, 1999). Dekker, New York. Bd. 216. S. 317--332.

2000

Hinze2000TCM
Hinze, Michael; Kunisch, Karl (2000): Three control methods for time-dependent fluid flow. In: Flow Turbul. Combust.. Bd. 65. Nr. 3-4. S. 273--298.

1999

Choi1999ICO
Choi, Haecheon; Hinze, Michael; Kunisch, Karl (1999): Instantaneous control of backward-facing step flows. In: Appl. Numer. Math.. Bd. 31. Nr. 2. S. 133--158.

Hinze1999OAD
Hinze, Michael; Kauffmann, Andreas (1999): On a distributed control law with an application to the control of unsteady flow around a cylinder. In: Optimal control of partial differential equations (Chemnitz, 1998). Birkhäuser, Basel. Bd. 133. S. 177--190.

1998

Hinze1998OSC
Hinze, Michael; Kunisch, Karl (1998): On suboptimal control strategies for the Navier-Stokes equations. In: Control and partial differential equations (Marseille- Luminy, 1997). Soc. Math. Appl. Indust., Paris. Bd. 4. S. 181--198.

Hinze1998SCO
Hinze, Michael; Kunisch, Karl (1998): Suboptimal control of fluid flows. In: Operations Research Proceedings 1997 (Jena). Springer, Berlin. S. 182--187.

1997

Hinze1997OTN
Hinze, Michael (1997): On the numerical approximation and computation of minimal surface continua bounded by one-parameter families of polygonal contours. In: Appl. Numer. Math.. Bd. 25. Nr. 1. S. 89--116.

1996

Hinze1996OTN
Hinze, Michael (1996): On the numerical approximation of unstable minimal surfaces with polygonal boundaries. In: Numer. Math.. Bd. 73. Nr. 1. S. 95--118.