Department Mathematik 
University of Hamburg
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Publications of Michael Hinze

Google Scholar Citations
MathSciNet Citations
MathSciNet ID

    Recent material

  1. C. Gräßle, M. Hinze, N. Scharmacher. POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots.
  2. arXiv:1712.06523 (2017).
    arXiv-file
     
  3. N. von Daniels, M. Hinze: Variational discretization of a control-constrained parabolic bang-bang optimal control problem.
  4. arXiv 1707.01454 (2017)
    arXiv preprint
     
  5. M. Hinze, B. Hofmann, T. N. T. Quyen: A variational method for reconstructing the source in elliptic systems from boundary observations.
  6. arXiv:1703.09571 (2017)
    arXiv-file
     
  7. A. Alla, M. Hinze, O. Lass, S. Ulbrich: Certified Model Reduction Approach for robust optimal control with PDE constraints.
  8. arXiv:1703.01613 (2017).
    arXiv file
     
  9. C. Gräßle, M. Hinze. POD reduced order modeling for evolution equations utilizing arbitrary finite element discretizations.
  10. arXiv:1701.05054 (2017).
    arXiv-file
     
  11. M. Hintermüller, M. Hinze, C. Kahle, T. Keil: Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models.
  12. Hamburger Beiträge zur Angewandten Mathematik 2016-29, 2016.
    PDF-file
     
  13. M. Hintermüller, M. Hinze, C. Kahle, T. Keil: A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn--Hilliard--Navier--Stokes system.
  14. WIAS Preprint 2311, 2016.
    PDF-file
     
  15. H. Garcke, M. Hinze, C. Kahle: Diffuse interface approaches in atmosphere and ocean - modeling and numerical implementation.
  16. arXiv:1607.07986.
    arXiv-file
     
  17. A. Ahmad Ali, M. Hinze, H. Kröner: Optimal control of elliptic surface PDEs with pointwise bounds on the state.
  18. Hamburger Beiträge zur Angewandten Mathematik 2016-14, see also arXiv:1606.03025 (2016).
    arXiv-file
     
  19. M. Hinze, H. Kröner: Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints.
  20. Hamburger Beiträge zur Angewandten Mathematik 2016-13, see also arXiv:1604.07658 (2016).
    arXiv-file
     

    Books

  21. G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, S. Ulbrich: Trends in PDE Constrained Optimization (Springer link)
  22. International Series of Numerical Mathematics, Vol. 165, 2014
     
  23. G. Leugering, S. Engell, A. Griewank, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich, S. Ulbrich: Constrained Optimization and Optimal Control for Partial Differential Equations (Springer link)
  24. International Series of Numerical Mathematics, Vol. 160, 2012
     
  25. P. Benner, M. Hinze, E. Jan W. ter Maten: Model Reduction for Circuit Simulation (Springer link)
  26. Lecture Notes in Electrical Engineering, Vol. 74, due February 2011
     
  27. M. Hinze, Volker Schulz (Editoren): PDE constrained optimization (Wiley link)
  28. GAMM Mitteilungen, Volume 33(2), Wiley (2010).
     
  29. M. Hinze, R. Pinnau, M. Ulbrich, S. Ulbrich: Optimization with pde constraints (Springer link)
  30. Mathematical Modelling: Theory and Applications, Volume 23, Springer (2008).
     

    Chapters in Books

  31. Y. Giga, C.M. Elliott, M. Hinze, V. Styles: Emerging Developments in Interfaces and Free Boundaries
  32. Report No. 6/2017 DOI: 10.4171/OWR/2017/6, G. Huisken (Ed) (2017). Copies by email requests.
     
  33. M. Hinze, M. Kunkel, U. Matthes, M. Vierling: Model order reduction of integrated circuits in electrical networks.
  34. System Reduction for Nanoscale IC Design Hamburger, Peter Benner (Ed), Mathematics in Industry 20, 2014.
    pdf-file
     
  35. Y. Giga, C.M. Elliott, M. Hinze, V. Styles: Interfaces and Free Boundaries: Analysis, Control and Simulation
  36. Report No. 15/2013 DOI: 10.4171/OWR/2013/15, M. Greuel (Ed) (2013). Copies by email requests.
     
  37. Y. Giga, C.M. Elliott, M. Hinze, V. Styles: New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries
  38. Report No. 7/2010 DOI: 10.4171/OWR/2010/7, M. Greuel (Ed) (2010). Copies by email requests.
     
  39. C.M. Elliott, M. Hinze, V. Styles: Control of free boundaries
  40. Report 08/2007 of Miniworkshop with same title, in Oberwolfach Reports, M. Greuel (Ed) (2007). Copies by email requests.
     
  41. M. Hinze, S. Volkwein: Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control
  42. in Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational and Applied Mathematics, P. Benner, V. Mehrmann, D. Sorensen (Eds), 261-306 (2005).
    abstract   pdf-file of former version
     

    Edited volumes

  43. P. Benner, R. Herzog, M. Hinze, A. Rösch, A. Schiela, V. Schulz: Introduction to the special issue for EUCCO 2013 (Springer link)
  44. Computational Optimization and Applications 62(1):1-3, 2015
     

    Research papers

  45. A. Alla, C. Gräßle, M. Hinze: A-posteriori snapshot location for POD in optimal control of linear parabolic equations.
  46. arXiv:1608.08665v1 (2016), accepted for publication in ESAIM: Mathematical Modelling and Numerical Analysis (M2AN).
    arXiv-file
     
  47. H. Garcke, M. Hinze, C. Kahle: Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model.
  48. arXiv:1612.02283 (2016), accepted for publication in ESAIM: Control, Optimisation and Calculus of Variations (COCV).
    arXiv-file
     
  49. H. Garcke, M. Hinze, C. Kahle, K.F. Lam: A phase field approach to shape optimization in Navier--Stokes flow with integral state constraint.
  50. Adv. Comput. Math., doi.org/10.1007/s10444-018-9586-8 (2018).
    Paper
     
  51. A. Ali, K. Deckelnick, M. Hinze: Error analysis for global minima of semilinear optimal control problems.
  52. arXiv 1705.01201 (2017), to appear in Mathematical Control and related Fields (MCRF).
    arXiv preprint
     
  53. M. Hinze, B. Kaltenbacher, T. N. T. Quyen: Identifying conductivity in electrical impedance tomography with total variation regularization.
  54. Hamburger Beiträge zur Angewandten Mathematik 2016-23 und arXiv:1609.03714. To appear in Numerische Mathematik.
    arXiv-file
     
  55. J. P. Heners, L. Radtke, M. Hinze, A. Düster: A partitioned approach for adjoint shape optimization in fluid-structure interaction.
  56. Hamburger Beiträge zur Angewandten Mathematik 2016-22, appears in Journal of Computational Mechanics.
    PDF-file
     
  57. A. Ahmad Ali, E. Ullmann, M. Hinze: Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients.
  58. SIAM/ASA J. Uncertainty Quantification 5:466-492 (2017).
    arXiv-file and SIAM link
     
  59. F. Bruckner, C. Abert, G. Wautischer, C. Huber, C. Vogler, M. Hinze, and D. Suess. Solving Large-Scale Inverse Magnetostatic Problems using the Adjoint Method.
  60. Nature: Scientific Reports, accepted for publication. See also Hamburger Beiträge zur Angewandten Mathematik 2016-20
    PDF-file
     
  61. K. Deckelnick, M. Hinze, T. Jordan: An optimal shape design problem for plates.
  62. SIAM J. Numer. Anal. 55, 109 (2017).
    arXiv-file
     
  63. M. Hinze, Tran Nhan Tam Quyen: Matrix coefficient identification in an elliptic equation with the energy method.
  64. Inverse Problems 32 (2016).
    arXiv preprint
     
  65. A. Alla, C. Gräßle, M. Hinze: A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations.
  66. IFAC-PapersOnLine 49:13-188, 2016.
    PDF-file
     
  67. A. Ali, K. Deckelnick, M. Hinze: Global minima for semilinear optimal control problems.
  68. Comput. Optim. Appl. 65:261-288 (2016)
    arXiv preprint
     
  69. H. Garcke, C. Hecht, M. Hinze, C. Kahle, K.F. Lam: Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach.
  70. arXiv:1504.06402. Accepted for publication in Interfaces and Free Boundaries
    pdf-file
     
  71. H. Garcke, M. Hinze, C. Kahle: A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow.
  72. Applied Numerical Mathematics 99:151-171 (2016).
    arXiv-file
     
  73. W. Gong, M. Hinze, Z. Zhou: A finite element method for Dirichlet boundary control problems governed by parabolic PDEs.
  74. J. Sci. Comput. 66:941-967 (2016).
    arxiv-file
     
  75. H. Garcke, C. Hecht, M. Hinze, C. Kahle: Numerical approximation of phase field based shape and topology optimization for fluids.
  76. SIAM J. Sci. Comput. 37(4):A1846-A1871 (2015).
    arxiv-file
     
  77. N. von Daniels, M. Hinze, M. Vierling: Crank-Nicolson time stepping and variational discretization of control-constrained parabolic optimal control problems.
  78. SIAM J. Control Optim., 53(3), 1182-1198 (2015).
    arxiv-file
     
  79. A. Alla, M. Hinze, O. Lass, S. Ulbrich: Model order reduction approaches for the optimal design of permanent magnets in electro-magnetic machines.
  80. IFAC-PapersOnLine 48-1 (2015) 242-247.
    pdf-file
     
  81. A. Alla, M. Hinze: HJB-POD feeback control of advection-diffusion equation with a model predictive control snapshot sampling.
  82. IFAC Papers OnLine 48(23):527-532 (2015).
    pdf-file (preprint)
     
  83. A. Alla, M. Hinze: HJB-POD feedback control for Navier-Stokes equations.
  84. Conference Proceedings of ECMI 2014 (2014).
    pdf-file (preprint)
     
  85. M. Hinze, M. Köster, S. Turek: Space-Time Newton-Multigrid Strategies for Nonstationary Distributed and Boundary Flow Control Problems.
  86. ISNM 165:383-401 (2014) DOI 10.1007/978-3-319-05083-6_24.
    pdf-file of former version
     
  87. K. Deckelnick, M. Hinze: A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints.
  88. ISNM 165:365-382 (2014) DOI 10.1007/978-3-319-05083-6_23.
    pdf-file of former version
     
  89. W. Gong, M. Hinze, Z. Zhou: A priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control.
  90. SIAM J. Control Optim. 52(1) (2014)
    pdf-file of a former version
     
  91. W. Gong and M. Hinze: Error estimates for parabolic optimal control problems with control and state constraints.
  92. Comput. Optim. Appl. 56:131-151 (2013).
    pdf-file of a former version
     
  93. S. Herkt, M. Hinze, R. Pinnau: Convergence analysis of Galerkin POD for linear second order evolution equations.
  94. ETNA 40:321-337 (2013).
    pdf-file of former version
     
  95. M. Hintermüller, M. Hinze and C. Kahle: An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system.
  96. J. Comput. Phys. 235:810-827 (2013).
    pdf-file
     
  97. K. Deckelnick and M. Hinze: Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs.
  98. Inverse Problems 28, doi:10.1088/0266-5611/28/11/115015 (2012).
    pdf-file
     
  99. M. Hinze, M. Vierling: Variational discretization and semi-smooth Newton methods; implementation, convergence and globalization in pde constrained optimzation with control constraints.
  100. Optim. Meth. Software 27:933-950 (2012)
    pdf-file
     
  101. W. Gong, M. Hinze, Z. Zhou: Space-time finite element approximation of parabolic optimal control problems.
  102. J. Numer. Math. 20, 111-146 (2012).
    pdf-file
     
  103. M. Hinze, M. Kunkel, A. Steinbrecher, T. Stykel: Model order reduction of coupled circuit-device systems.
  104. Int. J. Numer. Model. 25:362-377 (2012)
    pdf-file
     
  105. M. Hinze and M. Vierling: Optimal Control of the Laplace-Beltrami operator on compact surfaces - concept and numerical treatment.
  106. J. Comp Math. 30:392-403 (2012)
    pdf-file
     
  107. K. Deckelnick, M. Hinze: A note on the approximation of elliptic control problems with bang-bang controls.
  108. Comput. Optim. Appl. 51:931-939 (2012).
    pdf-file
     
  109. M. Hintermüller, M. Hinze, and R.H.W. Hoppe: Weak-Duality based Adaptive Finite Element Methods for PDE-Constrained Optimization with Pointwise Gradient State-Constraints.
  110. J. Comp. Math. 30:101-123 (2012)
    pdf-file
     
  111. M. Frank, M. Herty, M. Hinze: Time--dependent Closed Loop Control of the Radiative Transfer Equations with Applications in Radiotherapy.
  112. ZAMM 92:8-24 (2012). Pdf-file of Preprint
     
  113. M. Hinze, M. Kunkel: Residual Based Sampling in POD Model Order Reduction of Drift-Diffusion Equations in Parametrized Electrical Networks.
  114. ZAMM 92:91-104 (2012).Pdf-file of Preprint
     
  115. M. Hinze, C. Meyer: Stability of semilinear elliptic optimal control problems with pointwise state constraints.
  116. Comput. Optim. Appl. 52:87-114 (2012) Springer Link
     
  117. K. Deckelnick and M. Hinze: Identification of matrix parameters in elliptic PDEs.
  118. Control and Cybernetics 40:957-969 (2011). pdf-file of preprint
     
  119. D. Abbeloos, M. Diehl, M. Hinze, S. Vandewalle: Nested multigrid methods for time-periodic, parabolic optimal control problems.
  120. Comput. Visual. Sci. 14:27-38 (2011)
    pdf-file former version
     
  121. M. Hinze, A. Schiela: Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment.
  122. Comput. Optim. Appl. 48:581-600 (2011)
    SPP1253-Preprint
     
  123. M. Hintermüller, M. Hinze and M. H. Tber : An Adaptive Finite Element Moreau-Yosida-Based Solver for a Non-Smooth Cahn-Hilliard Problem.
  124. Optim. Meth. Software 26:777-811 (2011)
    pdf-file
     
  125. A. Günther, M. Hinze: Elliptic Control Problems with Gradient Constraints - Variational Discrete Versus Piecewise Constant Controls.
  126. Comput. Optim. Appl. 49:549-566 (2011).
    Preprint1253-08-07
     
  127. K. Deckelnick, M. Hinze: Variational Discretization of Parabolic Control Problems in the Presence of Pointwise State Constraints.
  128. J. Comput. Math. 29:1-16 (2011).
    pdf-file
     
  129. M. Hinze and M. Vierling: A globalized semi-smooth Newton method for variational discretization of control constrained elliptic optimal control problems.
  130. International Series of Numerical Mathematics, Vol. 160:171-182, 2011.
    pdf-file
     
  131. M. Hinze, M. Kunkel, M. Vierling: POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks.
  132. Lecture Notes in Electrical Engineering, Vol. 74, (2011).
    Pdf-file of Preprint
     
  133. Michael Hinze, Michael Köster and Stefan Turek: A space-time multigrid method for optimal flow control.
  134. International Series of Numerical Mathematics, Vol. 160:147-170, 2011.
    pdf-file
     
  135. Michael Hinze and Arnd Rösch: Discretization of optimal control problems.
  136. International Series of Numerical Mathematics, Vol. 160:391-431, 2011.
    pdf-file
     
  137. Andreas Günther, Michael Hinze and Moulay Hicham Tber: A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints.
  138. International Series of Numerical Mathematics, Vol. 160:303-318, 2011.
    pdf-file
     
  139. Michael Hinze and Fredi Tröltzsch: Discrete concepts versus error analysis in pde constrained optimization.
  140. GAMM-Mitt. 33, No. 2, 148-162 (2010).
    pdf-file
     
  141. M. Hinze, C. Meyer: Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems.
  142. Comput. Optim. Appl. 46:487-510 (2010).
    pdf-file of WIAS Preprint No. 1168
     
  143. J. Sternberg, M. Hinze: A memory-reduced implementation of the Newton-CG method in optimal control of non-linear time dependent PDEs.
  144. Optimization Methods and Software 25:553-571 (2010).
    pdf-file of former version
     
  145. K. Deckelnick, A. Günther, M. Hinze: Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains.
  146. SIAM J. Cont. Optim. 48:2798-2819 (2009).
    associated SPP1253-Preprint
     
  147. M. Hinze, U. Matthes: A note on variational discretization of elliptic Neumann boundary control.
  148. Control & Cybernetics 38:577-591 (2009).
    pdf-file of former version
     
  149. M. Hintermüller, M. Hinze: A note on an optimal parameter adjustment in a Moreau-Yosida-based approach to state constrained elliptic control problems.
  150. SIAM J. Numer. Anal. 47:1666-1683 (2009)
    pdf-file of former version
     
  151. M. Hinze, O. Pätzold, S. Ziegenbalg: Solidification of a GaAs melt - optimal control of the phase interface.
  152. J. Crystal Growth 311:2501-2507 (2009).
    online provider
     
  153. M. Hinze, N. Yan, Z. Zhou: Variational discretization for optimal control governed by convection dominated diffusion equations.
  154. J. Comput. Math. 27:237-253 (2009)
    pdf-file of preprint
     
  155. K. Deckelnick, A. Günther, M. Hinze: Finite element approximation of elliptic control problems with constraints on the gradient.
  156. Numer. Math. 111:335-350 (2009).
    pdf-file SPP1253-08-02
     
  157. A. Günther, M. Hinze: A-posteriori error control of a state constrained elliptic control problem.
  158. J. Numer. Math. 16:307-322 (2008)
    pdf-file SPP1253-08-01
     
  159. M. Hinze, S. Volkwein: Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition
  160. Computational Optimization and Applications, 39:319-345, 2008
    pdf-file of former version.
     
  161. K. Deckelnick, M. Hinze: Convergence of a finite element approximation to a state constrained elliptic control problem.
  162. SIAM J. Numer. Anal. 45:1937--1953 (2007).
    pdf-file of Preprint MATH-NM-01-2006, TU Dresden, for a former version
     
  163. M. Hinze, S. Ziegenbalg: Optimal control of the free boundary in a two-phase Stefan problem with flow driven by convection.
  164. Z. Angew. Math. Mech. 87, 430-448 (2007).
    see pdf-file of Preprint SFB609-2-2006 for a former version.
     
  165. M. Hinze, S. Ziegenbalg: Optimal control of the free boundary in a two-phase Stefan problem
  166. J. Comput. Phys. 223, 657-684 (2007), doi:10.1016/j.jcp.2006.09.030,
    see Preprint SFB609-2-2005, TU Dresden (2005) for a former version.
     
  167. M. Hinze, R. Pinnau: A Second Order Approach to Optimal Semiconductor Design
  168. J. Optimization Theory and Applications 133, 179-200 (2007).
    pdf-file of a preprint
     
  169. M. Hinze, U. Matthes: Optimal and Model Predictive Control of the Boussinesq Approximation; Part I: Numerical Implementation
  170. ISNM 155, 149-174 (2007).
    pdf-file of Preprint MATH-NM-02-2004
     
  171. M. Hinze: Control of weakly conductive fluids by near wall Lorentz forces.
  172. Gamm Mitteilungen 30, p. 149-158 (2007), DOI: 10.1002/gamm.200790004.
    abstract   pdf-file of SFB609-Preprint-19-2004
     
  173. M. Burger, M. Hinze, and R. Pinnau: Optimization Models for Semiconductor Dopant Profiling.
  174. in Modeling and Simulation in Science, Engineering and Technology: Transport Phanomena and Kinetic Theory, Applications to Gases, Semiconductors, Photons, and Biological Systems, Eds. C. Cercignani and E. Gabetta, p. 91--116 (2007).
    pdf-file of former version
     
  175. M. Hintermüller, M. Hinze: A SQP-Semi-Smooth Newton-type Algorithm applied to Control of the instationary Navier-Stokes System Subject to Control Constraints
  176. Siam J. Optim. 16, 1177-1200 (2006).
    abstract   download of preliminary version.
     
  177. M. Hinze, J. Sternberg, and A. Walther: An optimal memory-reduced procedure for calculating adjoints of the instationary Navier-Stokes equations.
  178. Optimal Control Applications and Methods 27, 19-40 (2006).
    abstract   gzip ps-fileof a preliminary version
     
  179. G. Bärwolff, M. Hinze: Optimization of semiconductor melts
  180. Z. Angew. Math. Mech. 86, 423-437 (2006). pdf-file of former version.
     
  181. R. Griesse, M. Hintermüller, M. Hinze: Differential Stability of Control Constrained Optimal Control Problems for the Navier-Stokes Equations
  182. Numerical Functional Analysis and Optimization 26, 829-850 (2005).
    pdf-file of former version
     
  183. M. Hinze: Instantaneous closed loop control of the Navier-Stokes system
  184. revised version in pdf Siam J. Cont. Optim. 44, 564-583 (2005).
    abstract   gzip ps-file of a preliminary version
     
  185. M. Hinze: A variational discretization concept in control constrained optimization: the linear-quadratic case
  186. revised version in pdf J. Computational Optimization and Applications 30, 45-63 (2005)
    abstract   gzip ps-file of preliminary version
     
  187. M. Hinze, J. Sternberg: A-Revolve: An adaptive memory- and run-time-reduced procedure for calculating adjoints; with an application to the instationary Navier-Stokes system
  188. Optimization Methods and Software 20, 645-663 (2005),
    abstract   gzip ps-file of preliminary version
     
  189. K. Deckelnick, M. Hinze: Semidiscretization And Error Estimates For Distributed Control Of The Instationary Navier-Stokes Equations
  190. Numer. Math. 97, 297-320 (2004), revised version in pdf
    abstract   gzip ps-file of preliminary version
     
  191. M. Hinze, K. Kunisch: Second Order Methods for Boundary Control of the Instationary Navier-Stokes System
  192. Z. Angew. Math. Mech. 84 (3), 171-187 (2004), revised version as gzip ps-file.
    abstract   gzip ps-file of preliminary version
     
  193. M. Hinze, T. Slawig: Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations
  194. Optimization Methods and Software 18, 299-315 (2003).
    abstract   Preliminary version TR 735-2002 at TU Berlin as gzip ps-file
     
  195. M. Hintermüller, M. Hinze: Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations
  196. M2AN 36, 725-746 (2002).
    abstract   gzip ps-file of preliminary version
     
  197. M. Hinze, R. Pinnau: An Optimal Control Approach to Semiconductor Design
  198. M3AS 12(2002), 89-107.
    abstract   gzip ps-file of preliminary version
     
  199. M. Hinze, S. Volkwein: Instantaneous control for the instationary Burgers equation - convergence analysis and numerical implementation
  200. Nonlinear Analysis T.M.A. 50, 1-26 (2002).
    abstract   gzip ps-file of preliminary version
     
  201. K. Deckelnick, M. Hinze: Error estimates in space and time for tracking-type control of the instationary Stokes system
  202. ISNM 143, 87-103 (2002) Control and estimation of distributed Parameter systems, Graz 2002.
    abstract   gzip ps-file of preliminary version
     
  203. M. Hinze, K. Kunisch: Second order methods for optimal control of time-dependent fluid flow
  204. Siam J. Control and Optim. 40(2001), 925-946
    abstract   gzip ps-file of preliminary version
     
  205. M. Hinze: A remark on second order methods in control of fluid flow
  206. Z. Angew. Math. Mech. 81 Suppl. 3, 791-792 (2001)
    abstract   gzip ps-file
     
  207. M. Hinze, R. Pinnau: Optimal control of the Drift Diffusion Model for semiconductor devices
  208. ISNM 139, 95-106 (2001), Optimal control of complex structures.
    abstract   gzip ps-file of preliminary version
     
  209. M. Hinze, K. Kunisch: Three control methods for time - dependent Fluid Flow
  210. Flow, Turbulence and Combustion 65, 273-298 (2000).
    abstract   gzip ps-file of preliminary version
     
  211. H. Choi, M. Hinze, K. Kunisch: Instantaneous control of backward-facing-step flows
  212. Applied Numerical Mathematics 31, 133-158 (1999).
    abstract   gzip ps-file of preliminary version
     
  213. M. Hinze, A. Kauffmann: On a distributed control law with an application to the control of unsteady flow around a cylinder
  214. ISNM, 133, 177-190, Birkhäuser (1999).
    abstract   gzip ps-file of preliminary version
     
  215. M. Hinze: On the Numerical Approximation and Computation of Minimal-Surface-Continua bounded by One-Parameter-Families of Polygonal Contours
  216. Applied Numerical Mathematics 25, 89-116 (1997)
    abstract   gzip ps-file of preliminary version
     
  217. M. Hinze, Ralf Köcher, Jens Pfafferott: Ein Konzept zur numerischen Simulation von Wärmenetzen
  218. BWK 1/2-97 (1997), Springer VDI-Verlag
    abstract   gzip ps-file of preliminary version
     
  219. M. Hinze: On the Numerical Approximation of Unstable Minimal Surfaces with Polygonal Boundaries
  220. Numer. Math. 73, 95-118 (1996)
    abstract   gzip ps-file of preliminary version
     
  221. M. Hinze, Ralf Köcher, Jens Pfafferott: Zur numerischen Simulation von Wärmenetzen
  222. Forschung im Ingenieurwesen/Engineering Research Bd. 62 (1996) Nr. 11/12, VDI-Verlag
    abstract   gzip ps-file of preliminary version
     
  223. M. Hinze: On the Numerical Treatment of Quasiminimal Surfaces
  224. Impact of Computing in Science and Engineering 5, 249-270 (1993)
    abstract   gzip ps-file

    Proceedings

  225. A. Alla, C. Gräßle, M. Hinze. A-posteriori snapshot location for POD in optimal control of linear parabolic equations.
  226. PAMM. Volume 16, Issue 1. 2016, 781-782, see also arXiv:1608.08665 (2016).
    arXiv-file
     
  227. Anne Gerdes, Michael Hinze and Thomas Rung: Enhancement of adjoint topology optimization by approximated L1-regularization for promotion of sparse distributed control
  228. PAMM Volume 16, Issue 1, October 2016, Pages: 637–638, Version of Record online : 25 OCT 2016, DOI: 10.1002/pamm.201610307
    pdf-file
     
  229. Harald Garcke, Michael Hinze and Christian Kahle: Optimal control of time discrete two-phase flow governed by a diffuse interface model
  230. PAMM Volume 16, Issue 1, October 2016, Pages: 785–786, Version of Record online : 25 OCT 2016, DOI: 10.1002/pamm.201610381
    pdf-file
     
  231. Alessandro Alla, Carmen Gräßle and Michael Hinze: Towards optimal snapshot location for POD model order reduction in optimal control.
  232. ScienceOpenPosters, 2016, DOI: 10.14293/P2199-8442.1.SOP-MATH.PDKGEB.v1
    poster site
     
  233. Anne Gerdes, Michael Hinze and Thomas Rung: An efficient line search technique and its application to adjoint topology optimisation
  234. PAMM Volume 14, Issue 1, December 2014, Pages: 719–720, Version of Record online : 22 DEC 2014, DOI: 10.1002/pamm.201410342
    pdf-file
     
  235. Michael Hinze and Christian Kahle: Model Predictive Control of two-phase flow using a diffuse interface approach
  236. PAMM Volume 14, Issue 1, December 2014, Pages: 731–732, Version of Record online : 22 DEC 2014, DOI: 10.1002/pamm.201410348
    pdf-file
     
  237. Wei Gong, Michael Hinze and Zhaojie Zhou: Residual-based a posteriori error control for Space-time finite element approximations of parabolic optimal control problems
  238. PAMM Volume 14, Issue 1, December 2014, Pages: 877–878, Version of Record online : 22 DEC 2014, DOI: 10.1002/pamm.201410419
    pdf-file
     
  239. M. Hinze and C. Kahle: Model predictive control of variable density multiphase flows governed by diffuse interface models.
  240. IFAC Proceedings 46-26:127-132 (2013).
    pdf-file
     
  241. M. Hinze, U. Matthes: Model order reduction for networks of ODE and PDE systems.
  242. D. Hömberg and F. Tröltzsch (Eds.): CSMO 2011, IFIP AICT 391, pp. 92-101, 2013.
    pdf-file
     
  243. M. Hinze and C. Kahle: A Nonlinear Model Predictive Concept for Control of Two-Phase Flows Governed by the Cahn-Hilliard Navier-Stokes System.
  244. D. Hömberg and F. Tröltzsch (Eds.): CSMO 2011, IFIP AICT 391, pp. 348-357, 2013.
    pdf-file
     
  245. M. Hinze, M. Kunkel, U. Matthes: POD Model Order Reduction of electrical networks with semiconductors modeled by the transient Drift-Diffusion equations.
  246. Proceedings of the ECMI Wuppertal 2010 (2010).
    pdf-file
     
  247. M. Hinze, M. Kunkel: Discrete empirical interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks.
  248. SCEE Proceedings 2010, Toulouse (2010).
    pdf-file
     
  249. K. Deckelnick, A. Günther, M. Hinze: A priori estimates for optimal Dirichlet boundary control problems.
  250. Proc. Appl. Math. Mech. 9(1):611-612, 2009.
    pdf-file
     
  251. K. Deckelnick, A. Günther, M. Hinze: Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state.
  252. Proc. Appl. Math. Mech. 8(1):10863-10864, 2008.
    pdf-file
     
  253. M. Hinze, S. Ziegenbalg: Optimal control of the phase interface during solidification of a GaAs melt.
  254. Proc. Appl. Math. Mech. DOI: 10.1002/pamm.200701090 (2008).
    pdf-file
     
  255. K. Deckelnick, M. Hinze: Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations.
  256. Proceedings of the ENUMATH 2007 in Graz.
    pdf-file
     
  257. K. Deckelnick, A. Günther, M. Hinze: Numerical analysis and algorithms in control and state constrained optimization with pdes.
  258. Proc. Appl. Math. Mech. 7(1):1060503-1060504, 2007.
    pdf-file
     
  259. M. Hinze, S. Ziegenbalg: Control of the free boundary in a two-phase Stefan problem with flow driven by convection.
  260. Proc. Appl. Math. Mech. 7(1): 4140027-4140028 (2007).
    pdf-file
     
  261. M. Hinze, R. Pinnau: Mathematical Tools in Optimal Semiconductor Design
  262. Proceedings of the 6th MAFPD, Kyoto, September 2004 (2007).
    pdf-file SFB609-Preprint-01-2005
     
  263. G. Bärwolff, M. Hinze: Boundary control of semiconductor melts
  264. Proceedings of the Algoritmy 2005, pp. 64-72 (2005), pdf-file of a preliminary version.
     
  265. M. Hinze, D. Wachsmuth: Fast closed loop control of the Navier-Stokes system
  266. Modeling, Simulation and Optimization of Complex Processes, 189-201, Eds. H.G. Bock et al., Springer 2004
    abstract   gzip ps-file of a preliminary version
     
  267. G. Bärwolff, M. Hinze: Optimization of a thermally coupled flow problem
  268. WSEAS Transactions on Mathematics, No. 4, Vol. 4 (2004), pdf-file of a preliminary version.
     
  269. K. Deckelnick, M. Hinze: Optimal error estimates and computations for tracking-type control of the instationary Stokes system
  270. Proceedings of the 18th GAMM-Seminar Leipzig: Multigrid and related methods for optimization problems, 63-75 (2002), see also Preprint MATH-NM-12-2001, Institut für Numerische Mathematik, Technische Universität Dresden (2001)
    abstract   gzip ps-file
     
  271. M. Hinze: The SQP-method for tracking type control of the instationary Navier-Stokes equations Flow
  272. Proceedings of the Algoritmy 2000, Eds. A. Handlovicova et al..
    abstract   gzip ps-file of a preliminary version
     
  273. K. Afanasiev, M. Hinze: Adaptive control of a wake flow using proper orthogonal decomposition
  274. Lecture Notes in Pure and Applied Mathematics 216, 317-332, Shape Optimization & Optimal Design, Marcel Dekker (2001).
    abstract   gzip ps-file of preliminary version
     
  275. M. Hinze, K. Kunisch: Newton's method for tracking-type control of the instationary Navier-Stokes equations
  276. Proceedings of the ENUMATH 99, Eds. P. Neittaanmäki et. al.
    abstract   gzip ps-file
     
  277. M. Hinze, A. Kauffmann: Control concepts for parabolic equations with an application to the control of fluid flow
  278. Scientific Computing in Chemical Engineering II, Simulation, Image Processing, Optimization, and Control, Springer, 228-235 (1999)
    abstract   gzip ps-file
     
  279. M. Hinze, K. Kunisch: On Suboptimal Control Strategies for the Navier-Stokes Equations
  280. ESAIM: Proceedings, Vol. 4, 1998, 181-198, http://www.emath.fr/proc/Vol.4 (1998), see also Preprint No. 568/97, Technische Universität Berlin.
    abstract   gzip ps-file
     
  281. M. Hinze, K. Kunisch: Control strategies for fluid flows - optimal versus suboptimal control
  282. ENUMATH 97, Eds. H.G.Bock et al., World Scientific, Singapore, 351-358 (1997), see also Preprint No. 573/98, Technische Universität Berlin.
    abstract   gzip ps-file
     
  283. M. Hinze, K. Kunisch: Suboptimal Control of Fluid Flows
  284. Operations Research Proceedings 1997, Jena, Editors P. Kischka, H.W. Lorenz, U. Derigs, W. Domschke, P. Kleinschmidt, R. Möhring, Springer, see also Preprint No. 567/97, Technische Universität Berlin
    abstract   gzip ps-file
     
  285. M. Hinze, K. Kunisch: Suboptimal Control Strategies for Backward Facing Step Flows
  286. Proceedings of the 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Editor A. Sydow, Vol. 3, 53-58 (1997)
    abstract   gzip ps-file
     
  287. Günter Bärwolff, Frank Koster, Michael Hinze: A local implicit pressure velocity iteration method for incompressible flow problems
  288. 2nd Seminar Euler and Navier-Stokes Equations, Editors Kozel, K.; Prihoda, J., Institute of Thermomechanics AS CR, Prague April 3-5 (1996)
     

    Preprints

  289. M. Hinze, J. Krenciszek, R. Pinnau: Proper Orthogonal Decomposition for Free Boundary Value Problems.
  290. Hamburger Beiträge zur Angewandten Mathematik 2014-17 (2014).
    pdf-file
     
  291. M. Hinze, N. Yan, Z. Zhou: A mixed finite element approximation for optimal control problems with convection-diffusion equations.
  292. Hamburger Beiträge zur Angewandten Mathematik 2011-04 (2011).
    pdf-file
     
  293. M. Hinze, M. Köster, S. Turek: A space-time multigrid solver for distributed control of the time-dependent Navier-Stokes system.
  294. Priority Programme 1253, Preprint-Nr.: SPP1253-16-02 (2008).
    pdf-file
     
  295. M. Hinze, M. Köster, S. Turek: A Hierarchical Space-Time Solver for Distributed Control of the Stokes Equation.
  296. Priority Programme 1253, Preprint-Nr.: SPP1253-16-01 (2008).
    pdf-file
     
  297. K. Deckelnick, M. Hinze: A finite element approximation to elliptic control problems in the presence of control and state constraints.
  298. Preprint HBAM2007-01, Hamburger Beiträge zur Angewandten Mathematik, Universität Hamburg (2007).
    pdf-file
     
  299. M. Hinze, O. Pfeiffer: Active closed-loop control of weakly conductive fluids
  300. SFB609-Preprint-20-2004, Sonderforschungsbereich 609, Technische Universität Dresden (2004), submitted.
    abstract   pdf-file
     
  301. M. Hinze, R. Pinnau: Multiple Solutions to a Semiconductor Design Problem
  302. Preprint MATH-NM-14-2003, Institut für Numerische Mathematik, Technische Universität Dresden (2003), submitted.
    abstract   gzip ps-file
     
  303. M. Hinze, D. Wachsmuth: Controller design for the Navier-Stokes system. Part I: Concept and numerical results
  304. Report 11-2003, Institut für Mathematik, Technische Universität Berlin (2003), submitted.
    abstract   gzip ps-file
     
  305. G. Bärwolff, M. Hinze: Optimization of a thermally coupled flow problem - part I: Algorithms and numerical results
  306. Preprint Nr. 15-03, Institut für Mathematik, TU Berlin (2003). pdf-file.
     
  307. M. Hinze: A generalized discretization concept for optimal control problems with control constraints
  308. Preprint MATH-NM-02-2003, Institut für Numerische Mathematik, Technische Universität Dresden (2003), revised version to appear in Computational Optimization and Applications.
    abstract   gzip ps-file
     
  309. M. Hinze, A. Kauffmann: Reduced order Modelling and suboptimal control of a solid fuel ignition model
  310. Preprint No. 636/99, Technische Universität Berlin, (1999).
    abstract   gzip ps-file
     
  311. M. Hinze, A. Kauffmann: The instantaneous control method - convergence analysis for finite dimensional systems
  312. Extended version of Preprint No. 602/98 A new class of feedback laws for dynamical systems, Technische Universität Berlin (1998)
    abstract   Preprint as gzip ps-file   Article as gzip ps-file
     
  313. M. Hinze, Ralf Köcher, Jens Pfafferott: Numerische Simulation von Wärmenetzen in SMILE
  314. Preprint No. 485/95, Technische Universität Berlin (1995)
    abstract   gzip ps-file
     
  315. M. Hinze: On the Numerical Approximation and Computation of Minimal-Surface-Continua bounded by One-Parameter-Families of Polygonal Contours SFB 288 PREPRINT No. 175 (1995), Technische Universität Berlin

  316. abstract   gzip ps-file
     
  317. M. Hinze: On a simple method to compute polygonal minimal surfaces
  318. SFB 288 PREPRINT No. 33 (1992), Technische Universität Berlin
    abstract   gzip ps-file

    Reports

  319. M. Hinze, O. Pfeiffer: Kontrolle leitfähiger Fluide mit Methoden der mathematischen Optimierung
  320. Bericht des Teilprojekts A3 des Sonderforschungsbereichs 609 'Elektromagnetische Strömungsbeeinflussung in Metallurgie, Kristallzüchtung und Elektrochemie', Technische Universität Dresden (2004)
     pdf-file
     
  321. K.Afanasiev, M. Hinze: Entwicklung von Feedback Controllern für abgelöste Strömungen
  322. Abschlussbericht des Teilprojekts C3 des Sonderforschungsbereichs 557 'Beeinflussung turbulenter Scherströmungen', Fachbereich Mathematik, Technische Universität Berlin (2001)
     gzip ps-file
     
  323. M. Hinze: Steuer- und Regelstrategien für Strömungen
  324. Forschungsbericht der AG Numerik/Funktionalanalysis, Fachbereich Mathematik,Technische Universität Berlin (1998)
    gzip ps-file
     
  325. M. Hinze, A. Kauffmann, A. Köhler, K. Kunisch, F. Liebau, T. Slawig, S. Volkwein, G. Zimmer: Kontrolle turbulenter Scherströmungen - Optimale Steuerung von Gleichungen der Fluiddynamik
  326. Universitärer Forschungsschwerpunkt 8, Abschlussbericht des TP 4 (1997), Technische Universität Berlin
    gzip ps-file
     
  327. M. Hinze, A. Kauffmann, A. Köhler, K. Kunisch, F. Liebau, T. Slawig, S. Volkwein, G. Zimmer: Kontrolle turbulenter Scherströmungen - Optimale Steuerung von Gleichungen der Fluiddynamik
  328. Universitärer Forschungsschwerpunkt 8, Zwischenbericht des TP 4 (1996), Technische Universität Berlin
     
  329. Günter Bärwolff, Michael Hinze, Frank Koster: Incompressible Navier-Stokes Calculations with Nonreflecting Boundary Conditions
  330. Report, Universitärer Forschungsschwerpunkt 8, Technical University Berlin, 1995
    gzip ps-file
     
  331. M. Hinze: On a simple and reliable Method to compute all Roots of a Vector-Function with an Application to the Minimal Surface Problem for Polygons
  332. Technische Universität Berlin (1995)
     
  333. M. Hinze, A. Kauffmann, A. Köhler, K. Kunisch, F. Liebau, T. Slawig, S. Volkwein, G. Zimmer: Kontrolle turbulenter Scherströmungen - Optimale Steuerung von Gleichungen der Fluiddynamik
  334. Universitärer Forschungsschwerpunkt 8, Zwischenbericht des TP 4 (1995), Technische Universität Berlin
     
  335. M. Hinze: Entwicklung rechnergestützter Simulationshilfsmittel zur Beschreibung des Betriebsverhaltens komplexer energiewandelnder Systeme
  336. Universitärer Forschungsschwerpunkt 4, Zwischenbericht des TP E (1992), Technische Universität Berlin
     
  337. K.H. Dehmel, M. Hinze: Entwicklung rechnergestützter Simulationshilfsmittel zur Beschreibung des Betriebsverhaltens komplexer energiewandelnder Systeme
  338. Universitärer Forschungsschwerpunkt 4, Zwischenbericht des TP E (1991), Technische Universität Berlin

    Theses and course materials

  339. M. Hinze: Optimal and instantaneous control of the instationary Navier-Stokes equations
  340. Habilitation thesis (2000), Fachbereich Mathematik, Technische Universität Berlin
    gzip ps-file 1.4 mb   pdf-file 2.7 mb
     
  341. M. Hinze: On the Numerical Treatment of Minimal Surfaces with Polygonal Boundaries
  342. PhD thesis (1994), Technische Universität Berlin
    abstract
     
  343. M. Hinze: Zur numerischen Behandlung des Marx-Shiffmanschen Randwertproblems
  344. Diploma thesis (1990), Universität Bonn
    abstract
     
  345. M. Hinze: Numerik partieller Differentialgleichungen für Ingenieure
  346. Course for Applied Mathematicians and Engineers on numerics of pdes, in German language
    pdf-file 0.9 mb
     
  347. M. Hinze: Numerik - eine problemangepaßte Einführung
  348. Course on basics of numerical mathematics, in German language
    pdf-file 0.7 mb

 
 Seitenanfang  Impressum 2006-07-31, Michael Hinze