Department Mathematik 
University of Hamburg
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Publications of Michael Hinze

Google Scholar Citations
MathSciNet Citations
MathSciNet ID

    Recent material

  1. A. Ahmad Ali, M. Hinze: Reduced basis methods- an application to variational discretization of parametrized elliptic optimal control problems.
  2. arXiv:1808.05687 (2018).
    arXiv-file
     
  3. E. Herberg, M. Hinze, H. Schumacher: Maximal discrete sparsity in parabolic optimal control with measures.
  4. arXiv 1804.10549 (2018)
    arXiv-file
     
  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. H. Garcke, M. Hinze, C. Kahle: Diffuse interface approaches in atmosphere and ocean - modeling and numerical implementation.
  10. arXiv:1607.07986.
    arXiv-file
     
  11. A. Ahmad Ali, M. Hinze, H. Kröner: Optimal control of elliptic surface PDEs with pointwise bounds on the state.
  12. Hamburger Beiträge zur Angewandten Mathematik 2016-14, see also arXiv:1606.03025 (2016).
    arXiv-file
     
  13. M. Hinze, H. Kröner: Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints.
  14. Hamburger Beiträge zur Angewandten Mathematik 2016-13, see also arXiv:1604.07658 (2016).
    arXiv-file
     

    Books

  15. G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, S. Ulbrich: Trends in PDE Constrained Optimization (Springer link)
  16. International Series of Numerical Mathematics, Vol. 165, 2014
     
  17. 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)
  18. International Series of Numerical Mathematics, Vol. 160, 2012
     
  19. P. Benner, M. Hinze, E. Jan W. ter Maten: Model Reduction for Circuit Simulation (Springer link)
  20. Lecture Notes in Electrical Engineering, Vol. 74, due February 2011
     
  21. M. Hinze, Volker Schulz (Editoren): PDE constrained optimization (Wiley link)
  22. GAMM Mitteilungen, Volume 33(2), Wiley (2010).
     
  23. M. Hinze, R. Pinnau, M. Ulbrich, S. Ulbrich: Optimization with pde constraints (Springer link)
  24. Mathematical Modelling: Theory and Applications, Volume 23, Springer (2008).
     

    Chapters in Books

  25. Y. Giga, C.M. Elliott, M. Hinze, V. Styles: Emerging Developments in Interfaces and Free Boundaries
  26. Report No. 6/2017 DOI: 10.4171/OWR/2017/6, G. Huisken (Ed) (2017). Copies by email requests.
     
  27. M. Hinze, M. Kunkel, U. Matthes, M. Vierling: Model order reduction of integrated circuits in electrical networks.
  28. System Reduction for Nanoscale IC Design Hamburger, Peter Benner (Ed), Mathematics in Industry 20, 2014.
    pdf-file
     
  29. Y. Giga, C.M. Elliott, M. Hinze, V. Styles: Interfaces and Free Boundaries: Analysis, Control and Simulation
  30. Report No. 15/2013 DOI: 10.4171/OWR/2013/15, M. Greuel (Ed) (2013). Copies by email requests.
     
  31. Y. Giga, C.M. Elliott, M. Hinze, V. Styles: New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries
  32. Report No. 7/2010 DOI: 10.4171/OWR/2010/7, M. Greuel (Ed) (2010). Copies by email requests.
     
  33. C.M. Elliott, M. Hinze, V. Styles: Control of free boundaries
  34. Report 08/2007 of Miniworkshop with same title, in Oberwolfach Reports, M. Greuel (Ed) (2007). Copies by email requests.
     
  35. M. Hinze, S. Volkwein: Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control
  36. 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

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

    Research papers

  39. C. Gräßle, M. Hinze. POD reduced order modeling for evolution equations utilizing arbitrary finite element discretizations.
  40. Advances in Computational Mathematics, accepted for publication (2018).
    arXiv-file
     
  41. 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.
  42. Optimization and Engineering, 2018, online first, DOI 10.1007/s11081-018-9393-6.
    WIAS Preprint 2311
     
  43. N. von Daniels, M. Hinze: Variational discretization of a control-constrained parabolic bang-bang optimal control problem.
  44. J. Comput. Math., accepted for publication.
    arXiv-file
     
  45. C. Gräßle, M. Hinze, N. Scharmacher. POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots.
  46. Accepted for publication in the ENUMATH 2017 proceedings (2017).
    arXiv-file
     
  47. A. Alla, C. Gräßle, M. Hinze: A-posteriori snapshot location for POD in optimal control of linear parabolic equations.
  48. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), DOI https://doi.org/10.1051/m2an/2018009 .
    arXiv-file
     
  49. H. Garcke, M. Hinze, C. Kahle: Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model.
  50. ESAIM: Control, Optimisation and Calculus of Variations (COCV), DOI: https://doi.org/10.1051/cocv/2018006.
    arXiv-file
     
  51. H. Garcke, M. Hinze, C. Kahle, K.F. Lam: A phase field approach to shape optimization in Navier--Stokes flow with integral state constraint.
  52. Adv. Comput. Math., doi.org/10.1007/s10444-018-9586-8 (2018).
    Paper
     
  53. J. P. Heners, L. Radtke, M. Hinze, A. Düster: A partitioned approach for adjoint shape optimization in fluid-structure interaction.
  54. J. Comput. Mech. 61:259-276 (2018).
    PDF-file preprint
     
  55. A. Ahmad Ali, K. Deckelnick, M. Hinze: Error analysis for global minima of semilinear optimal control problems.
  56. Mathematical Control and related Fields (MCRF) 8 (2018).
    arXiv preprint
     
  57. M. Hinze, B. Kaltenbacher, T. N. T. Quyen: Identifying conductivity in electrical impedance tomography with total variation regularization.
  58. Numer. Math 138:723-765 (2018).
    arXiv-file
     
  59. 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.
  60. Springer International Publishing AG 2017, D. Bothe, A. Reusken (eds.), Transport Processes at Fluidic Interfaces, Advances in Mathematical Fluid Mechanics, DOI 10.1007/978-3-319-56602-3_13, 2017.
    PDF-file
     
  61. A. Ahmad Ali, E. Ullmann, M. Hinze: Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients.
  62. SIAM/ASA J. Uncertainty Quantification 5:466-492 (2017).
    arXiv-file and SIAM link
     
  63. 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.
  64. Nature: Scientific Reports, volume 7, Article number: 40816, doi:10.1038/srep40816 (2017)
    Open Access
     
  65. K. Deckelnick, M. Hinze, T. Jordan: An optimal shape design problem for plates.
  66. SIAM J. Numer. Anal. 55:109-130 (2017).
    arXiv-file
     
  67. M. Hinze, Tran Nhan Tam Quyen: Matrix coefficient identification in an elliptic equation with the energy method.
  68. Inverse Problems 32 (2016).
    arXiv preprint
     
  69. A. Alla, C. Gräßle, M. Hinze: A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations.
  70. IFAC-PapersOnLine 49:13-188, 2016.
    PDF-file
     
  71. A. Ahmad Ali, K. Deckelnick, M. Hinze: Global minima for semilinear optimal control problems.
  72. Comput. Optim. Appl. 65:261-288 (2016)
    arXiv preprint
     
  73. 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.
  74. Interfaces and Free Boundaries 18(2):219-261 (2016)
    arXiv-file
     
  75. H. Garcke, M. Hinze, C. Kahle: A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow.
  76. Applied Numerical Mathematics 99:151-171 (2016).
    arXiv-file
     
  77. W. Gong, M. Hinze, Z. Zhou: A finite element method for Dirichlet boundary control problems governed by parabolic PDEs.
  78. J. Sci. Comput. 66:941-967 (2016).
    arxiv-file
     
  79. H. Garcke, C. Hecht, M. Hinze, C. Kahle: Numerical approximation of phase field based shape and topology optimization for fluids.
  80. SIAM J. Sci. Comput. 37(4):A1846-A1871 (2015).
    arxiv-file
     
  81. N. von Daniels, M. Hinze, M. Vierling: Crank-Nicolson time stepping and variational discretization of control-constrained parabolic optimal control problems.
  82. SIAM J. Control Optim., 53(3), 1182-1198 (2015).
    arxiv-file
     
  83. A. Alla, M. Hinze, O. Lass, S. Ulbrich: Model order reduction approaches for the optimal design of permanent magnets in electro-magnetic machines.
  84. IFAC-PapersOnLine 48-1 (2015) 242-247.
    pdf-file
     
  85. A. Alla, M. Hinze: HJB-POD feeback control of advection-diffusion equation with a model predictive control snapshot sampling.
  86. IFAC Papers OnLine 48(23):527-532 (2015).
    pdf-file (preprint)
     
  87. A. Alla, M. Hinze: HJB-POD feedback control for Navier-Stokes equations.
  88. Conference Proceedings of ECMI 2014 (2014).
    pdf-file (preprint)
     
  89. M. Hinze, M. Köster, S. Turek: Space-Time Newton-Multigrid Strategies for Nonstationary Distributed and Boundary Flow Control Problems.
  90. ISNM 165:383-401 (2014) DOI 10.1007/978-3-319-05083-6_24.
    pdf-file of former version
     
  91. K. Deckelnick, M. Hinze: A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints.
  92. ISNM 165:365-382 (2014) DOI 10.1007/978-3-319-05083-6_23.
    pdf-file of former version
     
  93. W. Gong, M. Hinze, Z. Zhou: A priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control.
  94. SIAM J. Control Optim. 52(1) (2014)
    pdf-file of a former version
     
  95. W. Gong and M. Hinze: Error estimates for parabolic optimal control problems with control and state constraints.
  96. Comput. Optim. Appl. 56:131-151 (2013).
    pdf-file of a former version
     
  97. S. Herkt, M. Hinze, R. Pinnau: Convergence analysis of Galerkin POD for linear second order evolution equations.
  98. ETNA 40:321-337 (2013).
    pdf-file of former version
     
  99. M. Hintermüller, M. Hinze and C. Kahle: An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system.
  100. J. Comput. Phys. 235:810-827 (2013).
    pdf-file
     
  101. K. Deckelnick and M. Hinze: Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs.
  102. Inverse Problems 28, doi:10.1088/0266-5611/28/11/115015 (2012).
    pdf-file
     
  103. M. Hinze, M. Vierling: Variational discretization and semi-smooth Newton methods; implementation, convergence and globalization in pde constrained optimzation with control constraints.
  104. Optim. Meth. Software 27:933-950 (2012)
    pdf-file
     
  105. W. Gong, M. Hinze, Z. Zhou: Space-time finite element approximation of parabolic optimal control problems.
  106. J. Numer. Math. 20, 111-146 (2012).
    pdf-file
     
  107. M. Hinze, M. Kunkel, A. Steinbrecher, T. Stykel: Model order reduction of coupled circuit-device systems.
  108. Int. J. Numer. Model. 25:362-377 (2012)
    pdf-file
     
  109. M. Hinze and M. Vierling: Optimal Control of the Laplace-Beltrami operator on compact surfaces - concept and numerical treatment.
  110. J. Comp Math. 30:392-403 (2012)
    pdf-file
     
  111. K. Deckelnick, M. Hinze: A note on the approximation of elliptic control problems with bang-bang controls.
  112. Comput. Optim. Appl. 51:931-939 (2012).
    pdf-file
     
  113. 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.
  114. J. Comp. Math. 30:101-123 (2012)
    pdf-file
     
  115. M. Frank, M. Herty, M. Hinze: Time--dependent Closed Loop Control of the Radiative Transfer Equations with Applications in Radiotherapy.
  116. ZAMM 92:8-24 (2012). Pdf-file of Preprint
     
  117. M. Hinze, M. Kunkel: Residual Based Sampling in POD Model Order Reduction of Drift-Diffusion Equations in Parametrized Electrical Networks.
  118. ZAMM 92:91-104 (2012).Pdf-file of Preprint
     
  119. M. Hinze, C. Meyer: Stability of semilinear elliptic optimal control problems with pointwise state constraints.
  120. Comput. Optim. Appl. 52:87-114 (2012) Springer Link
     
  121. K. Deckelnick and M. Hinze: Identification of matrix parameters in elliptic PDEs.
  122. Control and Cybernetics 40:957-969 (2011). pdf-file of preprint
     
  123. D. Abbeloos, M. Diehl, M. Hinze, S. Vandewalle: Nested multigrid methods for time-periodic, parabolic optimal control problems.
  124. Comput. Visual. Sci. 14:27-38 (2011)
    pdf-file former version
     
  125. M. Hinze, A. Schiela: Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment.
  126. Comput. Optim. Appl. 48:581-600 (2011)
    SPP1253-Preprint
     
  127. M. Hintermüller, M. Hinze and M. H. Tber : An Adaptive Finite Element Moreau-Yosida-Based Solver for a Non-Smooth Cahn-Hilliard Problem.
  128. Optim. Meth. Software 26:777-811 (2011)
    pdf-file
     
  129. A. Günther, M. Hinze: Elliptic Control Problems with Gradient Constraints - Variational Discrete Versus Piecewise Constant Controls.
  130. Comput. Optim. Appl. 49:549-566 (2011).
    Preprint1253-08-07
     
  131. K. Deckelnick, M. Hinze: Variational Discretization of Parabolic Control Problems in the Presence of Pointwise State Constraints.
  132. J. Comput. Math. 29:1-16 (2011).
    pdf-file
     
  133. M. Hinze and M. Vierling: A globalized semi-smooth Newton method for variational discretization of control constrained elliptic optimal control problems.
  134. International Series of Numerical Mathematics, Vol. 160:171-182, 2011.
    pdf-file
     
  135. M. Hinze, M. Kunkel, M. Vierling: POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks.
  136. Lecture Notes in Electrical Engineering, Vol. 74, (2011).
    Pdf-file of Preprint
     
  137. Michael Hinze, Michael Köster and Stefan Turek: A space-time multigrid method for optimal flow control.
  138. International Series of Numerical Mathematics, Vol. 160:147-170, 2011.
    pdf-file
     
  139. Michael Hinze and Arnd Rösch: Discretization of optimal control problems.
  140. International Series of Numerical Mathematics, Vol. 160:391-431, 2011.
    pdf-file
     
  141. Andreas Günther, Michael Hinze and Moulay Hicham Tber: A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints.
  142. International Series of Numerical Mathematics, Vol. 160:303-318, 2011.
    pdf-file
     
  143. Michael Hinze and Fredi Tröltzsch: Discrete concepts versus error analysis in pde constrained optimization.
  144. GAMM-Mitt. 33, No. 2, 148-162 (2010).
    pdf-file
     
  145. M. Hinze, C. Meyer: Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems.
  146. Comput. Optim. Appl. 46:487-510 (2010).
    pdf-file of WIAS Preprint No. 1168
     
  147. J. Sternberg, M. Hinze: A memory-reduced implementation of the Newton-CG method in optimal control of non-linear time dependent PDEs.
  148. Optimization Methods and Software 25:553-571 (2010).
    pdf-file of former version
     
  149. K. Deckelnick, A. Günther, M. Hinze: Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains.
  150. SIAM J. Cont. Optim. 48:2798-2819 (2009).
    associated SPP1253-Preprint
     
  151. M. Hinze, U. Matthes: A note on variational discretization of elliptic Neumann boundary control.
  152. Control & Cybernetics 38:577-591 (2009).
    pdf-file of former version
     
  153. M. Hintermüller, M. Hinze: A note on an optimal parameter adjustment in a Moreau-Yosida-based approach to state constrained elliptic control problems.
  154. SIAM J. Numer. Anal. 47:1666-1683 (2009)
    pdf-file of former version
     
  155. M. Hinze, O. Pätzold, S. Ziegenbalg: Solidification of a GaAs melt - optimal control of the phase interface.
  156. J. Crystal Growth 311:2501-2507 (2009).
    online provider
     
  157. M. Hinze, N. Yan, Z. Zhou: Variational discretization for optimal control governed by convection dominated diffusion equations.
  158. J. Comput. Math. 27:237-253 (2009)
    pdf-file of preprint
     
  159. K. Deckelnick, A. Günther, M. Hinze: Finite element approximation of elliptic control problems with constraints on the gradient.
  160. Numer. Math. 111:335-350 (2009).
    pdf-file SPP1253-08-02
     
  161. A. Günther, M. Hinze: A-posteriori error control of a state constrained elliptic control problem.
  162. J. Numer. Math. 16:307-322 (2008)
    pdf-file SPP1253-08-01
     
  163. M. Hinze, S. Volkwein: Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition
  164. Computational Optimization and Applications, 39:319-345, 2008
    pdf-file of former version.
     
  165. K. Deckelnick, M. Hinze: Convergence of a finite element approximation to a state constrained elliptic control problem.
  166. SIAM J. Numer. Anal. 45:1937--1953 (2007).
    pdf-file of Preprint MATH-NM-01-2006, TU Dresden, for a former version
     
  167. M. Hinze, S. Ziegenbalg: Optimal control of the free boundary in a two-phase Stefan problem with flow driven by convection.
  168. Z. Angew. Math. Mech. 87, 430-448 (2007).
    see pdf-file of Preprint SFB609-2-2006 for a former version.
     
  169. M. Hinze, S. Ziegenbalg: Optimal control of the free boundary in a two-phase Stefan problem
  170. 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.
     
  171. M. Hinze, R. Pinnau: A Second Order Approach to Optimal Semiconductor Design
  172. J. Optimization Theory and Applications 133, 179-200 (2007).
    pdf-file of a preprint
     
  173. M. Hinze, U. Matthes: Optimal and Model Predictive Control of the Boussinesq Approximation; Part I: Numerical Implementation
  174. ISNM 155, 149-174 (2007).
    pdf-file of Preprint MATH-NM-02-2004
     
  175. M. Hinze: Control of weakly conductive fluids by near wall Lorentz forces.
  176. Gamm Mitteilungen 30, p. 149-158 (2007), DOI: 10.1002/gamm.200790004.
    abstract   pdf-file of SFB609-Preprint-19-2004
     
  177. M. Burger, M. Hinze, and R. Pinnau: Optimization Models for Semiconductor Dopant Profiling.
  178. 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
     
  179. M. Hintermüller, M. Hinze: A SQP-Semi-Smooth Newton-type Algorithm applied to Control of the instationary Navier-Stokes System Subject to Control Constraints
  180. Siam J. Optim. 16, 1177-1200 (2006).
    abstract   download of preliminary version.
     
  181. M. Hinze, J. Sternberg, and A. Walther: An optimal memory-reduced procedure for calculating adjoints of the instationary Navier-Stokes equations.
  182. Optimal Control Applications and Methods 27, 19-40 (2006).
    abstract   gzip ps-fileof a preliminary version
     
  183. G. Bärwolff, M. Hinze: Optimization of semiconductor melts
  184. Z. Angew. Math. Mech. 86, 423-437 (2006). pdf-file of former version.
     
  185. R. Griesse, M. Hintermüller, M. Hinze: Differential Stability of Control Constrained Optimal Control Problems for the Navier-Stokes Equations
  186. Numerical Functional Analysis and Optimization 26, 829-850 (2005).
    pdf-file of former version
     
  187. M. Hinze: Instantaneous closed loop control of the Navier-Stokes system
  188. revised version in pdf Siam J. Cont. Optim. 44, 564-583 (2005).
    abstract   gzip ps-file of a preliminary version
     
  189. M. Hinze: A variational discretization concept in control constrained optimization: the linear-quadratic case
  190. revised version in pdf J. Computational Optimization and Applications 30, 45-63 (2005)
    abstract   gzip ps-file of preliminary version
     
  191. 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
  192. Optimization Methods and Software 20, 645-663 (2005),
    abstract   gzip ps-file of preliminary version
     
  193. K. Deckelnick, M. Hinze: Semidiscretization And Error Estimates For Distributed Control Of The Instationary Navier-Stokes Equations
  194. Numer. Math. 97, 297-320 (2004), revised version in pdf
    abstract   gzip ps-file of preliminary version
     
  195. M. Hinze, K. Kunisch: Second Order Methods for Boundary Control of the Instationary Navier-Stokes System
  196. Z. Angew. Math. Mech. 84 (3), 171-187 (2004), revised version as gzip ps-file.
    abstract   gzip ps-file of preliminary version
     
  197. M. Hinze, T. Slawig: Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations
  198. Optimization Methods and Software 18, 299-315 (2003).
    abstract   Preliminary version TR 735-2002 at TU Berlin as gzip ps-file
     
  199. M. Hintermüller, M. Hinze: Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations
  200. M2AN 36, 725-746 (2002).
    abstract   gzip ps-file of preliminary version
     
  201. M. Hinze, R. Pinnau: An Optimal Control Approach to Semiconductor Design
  202. M3AS 12(2002), 89-107.
    abstract   gzip ps-file of preliminary version
     
  203. M. Hinze, S. Volkwein: Instantaneous control for the instationary Burgers equation - convergence analysis and numerical implementation
  204. Nonlinear Analysis T.M.A. 50, 1-26 (2002).
    abstract   gzip ps-file of preliminary version
     
  205. K. Deckelnick, M. Hinze: Error estimates in space and time for tracking-type control of the instationary Stokes system
  206. ISNM 143, 87-103 (2002) Control and estimation of distributed Parameter systems, Graz 2002.
    abstract   gzip ps-file of preliminary version
     
  207. M. Hinze, K. Kunisch: Second order methods for optimal control of time-dependent fluid flow
  208. Siam J. Control and Optim. 40(2001), 925-946
    abstract   gzip ps-file of preliminary version
     
  209. M. Hinze: A remark on second order methods in control of fluid flow
  210. Z. Angew. Math. Mech. 81 Suppl. 3, 791-792 (2001)
    abstract   gzip ps-file
     
  211. M. Hinze, R. Pinnau: Optimal control of the Drift Diffusion Model for semiconductor devices
  212. ISNM 139, 95-106 (2001), Optimal control of complex structures.
    abstract   gzip ps-file of preliminary version
     
  213. M. Hinze, K. Kunisch: Three control methods for time - dependent Fluid Flow
  214. Flow, Turbulence and Combustion 65, 273-298 (2000).
    abstract   gzip ps-file of preliminary version
     
  215. H. Choi, M. Hinze, K. Kunisch: Instantaneous control of backward-facing-step flows
  216. Applied Numerical Mathematics 31, 133-158 (1999).
    abstract   gzip ps-file of preliminary version
     
  217. M. Hinze, A. Kauffmann: On a distributed control law with an application to the control of unsteady flow around a cylinder
  218. ISNM, 133, 177-190, Birkhäuser (1999).
    abstract   gzip ps-file of preliminary version
     
  219. M. Hinze: On the Numerical Approximation and Computation of Minimal-Surface-Continua bounded by One-Parameter-Families of Polygonal Contours
  220. Applied Numerical Mathematics 25, 89-116 (1997)
    abstract   gzip ps-file of preliminary version
     
  221. M. Hinze, Ralf Köcher, Jens Pfafferott: Ein Konzept zur numerischen Simulation von Wärmenetzen
  222. BWK 1/2-97 (1997), Springer VDI-Verlag
    abstract   gzip ps-file of preliminary version
     
  223. M. Hinze: On the Numerical Approximation of Unstable Minimal Surfaces with Polygonal Boundaries
  224. Numer. Math. 73, 95-118 (1996)
    abstract   gzip ps-file of preliminary version
     
  225. M. Hinze, Ralf Köcher, Jens Pfafferott: Zur numerischen Simulation von Wärmenetzen
  226. Forschung im Ingenieurwesen/Engineering Research Bd. 62 (1996) Nr. 11/12, VDI-Verlag
    abstract   gzip ps-file of preliminary version
     
  227. M. Hinze: On the Numerical Treatment of Quasiminimal Surfaces
  228. Impact of Computing in Science and Engineering 5, 249-270 (1993)
    abstract   gzip ps-file

    Proceedings

  229. C. Gräßle, M. Hinze. The combination of POD model reduction with adaptive finite element methods in the context of phase field models.
  230. PAMM. Volume 17, to appear (2017).

     
  231. A. Alla, C. Gräßle, M. Hinze. A-posteriori snapshot location for POD in optimal control of linear parabolic equations.
  232. PAMM. Volume 16, Issue 1. 2016, 781-782, see also arXiv:1608.08665 (2016).
    arXiv-file
     
  233. Anne Gerdes, Michael Hinze and Thomas Rung: Enhancement of adjoint topology optimization by approximated L1-regularization for promotion of sparse distributed control
  234. PAMM Volume 16, Issue 1, October 2016, Pages: 637–638, Version of Record online : 25 OCT 2016, DOI: 10.1002/pamm.201610307
    pdf-file
     
  235. Harald Garcke, Michael Hinze and Christian Kahle: Optimal control of time discrete two-phase flow governed by a diffuse interface model
  236. PAMM Volume 16, Issue 1, October 2016, Pages: 785–786, Version of Record online : 25 OCT 2016, DOI: 10.1002/pamm.201610381
    pdf-file
     
  237. Alessandro Alla, Carmen Gräßle and Michael Hinze: Towards optimal snapshot location for POD model order reduction in optimal control.
  238. ScienceOpenPosters, 2016, DOI: 10.14293/P2199-8442.1.SOP-MATH.PDKGEB.v1
    poster site
     
  239. Anne Gerdes, Michael Hinze and Thomas Rung: An efficient line search technique and its application to adjoint topology optimisation
  240. PAMM Volume 14, Issue 1, December 2014, Pages: 719–720, Version of Record online : 22 DEC 2014, DOI: 10.1002/pamm.201410342
    pdf-file
     
  241. Michael Hinze and Christian Kahle: Model Predictive Control of two-phase flow using a diffuse interface approach
  242. PAMM Volume 14, Issue 1, December 2014, Pages: 731–732, Version of Record online : 22 DEC 2014, DOI: 10.1002/pamm.201410348
    pdf-file
     
  243. Wei Gong, Michael Hinze and Zhaojie Zhou: Residual-based a posteriori error control for Space-time finite element approximations of parabolic optimal control problems
  244. PAMM Volume 14, Issue 1, December 2014, Pages: 877–878, Version of Record online : 22 DEC 2014, DOI: 10.1002/pamm.201410419
    pdf-file
     
  245. M. Hinze and C. Kahle: Model predictive control of variable density multiphase flows governed by diffuse interface models.
  246. IFAC Proceedings 46-26:127-132 (2013).
    pdf-file
     
  247. M. Hinze, U. Matthes: Model order reduction for networks of ODE and PDE systems.
  248. D. Hömberg and F. Tröltzsch (Eds.): CSMO 2011, IFIP AICT 391, pp. 92-101, 2013.
    pdf-file
     
  249. M. Hinze and C. Kahle: A Nonlinear Model Predictive Concept for Control of Two-Phase Flows Governed by the Cahn-Hilliard Navier-Stokes System.
  250. D. Hömberg and F. Tröltzsch (Eds.): CSMO 2011, IFIP AICT 391, pp. 348-357, 2013.
    pdf-file
     
  251. M. Hinze, M. Kunkel, U. Matthes: POD Model Order Reduction of electrical networks with semiconductors modeled by the transient Drift-Diffusion equations.
  252. Proceedings of the ECMI Wuppertal 2010 (2010).
    pdf-file
     
  253. M. Hinze, M. Kunkel: Discrete empirical interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks.
  254. SCEE Proceedings 2010, Toulouse (2010).
    pdf-file
     
  255. K. Deckelnick, A. Günther, M. Hinze: A priori estimates for optimal Dirichlet boundary control problems.
  256. Proc. Appl. Math. Mech. 9(1):611-612, 2009.
    pdf-file
     
  257. K. Deckelnick, A. Günther, M. Hinze: Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state.
  258. Proc. Appl. Math. Mech. 8(1):10863-10864, 2008.
    pdf-file
     
  259. M. Hinze, S. Ziegenbalg: Optimal control of the phase interface during solidification of a GaAs melt.
  260. Proc. Appl. Math. Mech. DOI: 10.1002/pamm.200701090 (2008).
    pdf-file
     
  261. K. Deckelnick, M. Hinze: Numerical analysis of a control and state constrained elliptic control problem with piecewise constant control approximations.
  262. Proceedings of the ENUMATH 2007 in Graz.
    pdf-file
     
  263. K. Deckelnick, A. Günther, M. Hinze: Numerical analysis and algorithms in control and state constrained optimization with pdes.
  264. Proc. Appl. Math. Mech. 7(1):1060503-1060504, 2007.
    pdf-file
     
  265. M. Hinze, S. Ziegenbalg: Control of the free boundary in a two-phase Stefan problem with flow driven by convection.
  266. Proc. Appl. Math. Mech. 7(1): 4140027-4140028 (2007).
    pdf-file
     
  267. M. Hinze, R. Pinnau: Mathematical Tools in Optimal Semiconductor Design
  268. Proceedings of the 6th MAFPD, Kyoto, September 2004 (2007).
    pdf-file SFB609-Preprint-01-2005
     
  269. G. Bärwolff, M. Hinze: Boundary control of semiconductor melts
  270. Proceedings of the Algoritmy 2005, pp. 64-72 (2005), pdf-file of a preliminary version.
     
  271. M. Hinze, D. Wachsmuth: Fast closed loop control of the Navier-Stokes system
  272. 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
     
  273. G. Bärwolff, M. Hinze: Optimization of a thermally coupled flow problem
  274. WSEAS Transactions on Mathematics, No. 4, Vol. 4 (2004), pdf-file of a preliminary version.
     
  275. K. Deckelnick, M. Hinze: Optimal error estimates and computations for tracking-type control of the instationary Stokes system
  276. 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
     
  277. M. Hinze: The SQP-method for tracking type control of the instationary Navier-Stokes equations Flow
  278. Proceedings of the Algoritmy 2000, Eds. A. Handlovicova et al..
    abstract   gzip ps-file of a preliminary version
     
  279. K. Afanasiev, M. Hinze: Adaptive control of a wake flow using proper orthogonal decomposition
  280. Lecture Notes in Pure and Applied Mathematics 216, 317-332, Shape Optimization & Optimal Design, Marcel Dekker (2001).
    abstract   gzip ps-file of preliminary version
     
  281. M. Hinze, K. Kunisch: Newton's method for tracking-type control of the instationary Navier-Stokes equations
  282. Proceedings of the ENUMATH 99, Eds. P. Neittaanmäki et. al.
    abstract   gzip ps-file
     
  283. M. Hinze, A. Kauffmann: Control concepts for parabolic equations with an application to the control of fluid flow
  284. Scientific Computing in Chemical Engineering II, Simulation, Image Processing, Optimization, and Control, Springer, 228-235 (1999)
    abstract   gzip ps-file
     
  285. M. Hinze, K. Kunisch: On Suboptimal Control Strategies for the Navier-Stokes Equations
  286. 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
     
  287. M. Hinze, K. Kunisch: Control strategies for fluid flows - optimal versus suboptimal control
  288. 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
     
  289. M. Hinze, K. Kunisch: Suboptimal Control of Fluid Flows
  290. 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
     
  291. M. Hinze, K. Kunisch: Suboptimal Control Strategies for Backward Facing Step Flows
  292. 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
     
  293. Günter Bärwolff, Frank Koster, Michael Hinze: A local implicit pressure velocity iteration method for incompressible flow problems
  294. 2nd Seminar Euler and Navier-Stokes Equations, Editors Kozel, K.; Prihoda, J., Institute of Thermomechanics AS CR, Prague April 3-5 (1996)
     

    Preprints

  295. M. Hinze, J. Krenciszek, R. Pinnau: Proper Orthogonal Decomposition for Free Boundary Value Problems.
  296. Hamburger Beiträge zur Angewandten Mathematik 2014-17 (2014).
    pdf-file
     
  297. M. Hinze, N. Yan, Z. Zhou: A mixed finite element approximation for optimal control problems with convection-diffusion equations.
  298. Hamburger Beiträge zur Angewandten Mathematik 2011-04 (2011).
    pdf-file
     
  299. M. Hinze, M. Köster, S. Turek: A space-time multigrid solver for distributed control of the time-dependent Navier-Stokes system.
  300. Priority Programme 1253, Preprint-Nr.: SPP1253-16-02 (2008).
    pdf-file
     
  301. M. Hinze, M. Köster, S. Turek: A Hierarchical Space-Time Solver for Distributed Control of the Stokes Equation.
  302. Priority Programme 1253, Preprint-Nr.: SPP1253-16-01 (2008).
    pdf-file
     
  303. K. Deckelnick, M. Hinze: A finite element approximation to elliptic control problems in the presence of control and state constraints.
  304. Preprint HBAM2007-01, Hamburger Beiträge zur Angewandten Mathematik, Universität Hamburg (2007).
    pdf-file
     
  305. M. Hinze, O. Pfeiffer: Active closed-loop control of weakly conductive fluids
  306. SFB609-Preprint-20-2004, Sonderforschungsbereich 609, Technische Universität Dresden (2004), submitted.
    abstract   pdf-file
     
  307. M. Hinze, R. Pinnau: Multiple Solutions to a Semiconductor Design Problem
  308. Preprint MATH-NM-14-2003, Institut für Numerische Mathematik, Technische Universität Dresden (2003), submitted.
    abstract   gzip ps-file
     
  309. M. Hinze, D. Wachsmuth: Controller design for the Navier-Stokes system. Part I: Concept and numerical results
  310. Report 11-2003, Institut für Mathematik, Technische Universität Berlin (2003), submitted.
    abstract   gzip ps-file
     
  311. G. Bärwolff, M. Hinze: Optimization of a thermally coupled flow problem - part I: Algorithms and numerical results
  312. Preprint Nr. 15-03, Institut für Mathematik, TU Berlin (2003). pdf-file.
     
  313. M. Hinze: A generalized discretization concept for optimal control problems with control constraints
  314. 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
     
  315. M. Hinze, A. Kauffmann: Reduced order Modelling and suboptimal control of a solid fuel ignition model
  316. Preprint No. 636/99, Technische Universität Berlin, (1999).
    abstract   gzip ps-file
     
  317. M. Hinze, A. Kauffmann: The instantaneous control method - convergence analysis for finite dimensional systems
  318. 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
     
  319. M. Hinze, Ralf Köcher, Jens Pfafferott: Numerische Simulation von Wärmenetzen in SMILE
  320. Preprint No. 485/95, Technische Universität Berlin (1995)
    abstract   gzip ps-file
     
  321. 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

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

    Reports

  325. M. Hinze, O. Pfeiffer: Kontrolle leitfähiger Fluide mit Methoden der mathematischen Optimierung
  326. Bericht des Teilprojekts A3 des Sonderforschungsbereichs 609 'Elektromagnetische Strömungsbeeinflussung in Metallurgie, Kristallzüchtung und Elektrochemie', Technische Universität Dresden (2004)
     pdf-file
     
  327. K.Afanasiev, M. Hinze: Entwicklung von Feedback Controllern für abgelöste Strömungen
  328. Abschlussbericht des Teilprojekts C3 des Sonderforschungsbereichs 557 'Beeinflussung turbulenter Scherströmungen', Fachbereich Mathematik, Technische Universität Berlin (2001)
     gzip ps-file
     
  329. M. Hinze: Steuer- und Regelstrategien für Strömungen
  330. Forschungsbericht der AG Numerik/Funktionalanalysis, Fachbereich Mathematik,Technische Universität Berlin (1998)
    gzip ps-file
     
  331. 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
  332. Universitärer Forschungsschwerpunkt 8, Abschlussbericht des TP 4 (1997), Technische Universität Berlin
    gzip ps-file
     
  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 (1996), Technische Universität Berlin
     
  335. Günter Bärwolff, Michael Hinze, Frank Koster: Incompressible Navier-Stokes Calculations with Nonreflecting Boundary Conditions
  336. Report, Universitärer Forschungsschwerpunkt 8, Technical University Berlin, 1995
    gzip ps-file
     
  337. 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
  338. Technische Universität Berlin (1995)
     
  339. 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
  340. Universitärer Forschungsschwerpunkt 8, Zwischenbericht des TP 4 (1995), Technische Universität Berlin
     
  341. M. Hinze: Entwicklung rechnergestützter Simulationshilfsmittel zur Beschreibung des Betriebsverhaltens komplexer energiewandelnder Systeme
  342. Universitärer Forschungsschwerpunkt 4, Zwischenbericht des TP E (1992), Technische Universität Berlin
     
  343. K.H. Dehmel, M. Hinze: Entwicklung rechnergestützter Simulationshilfsmittel zur Beschreibung des Betriebsverhaltens komplexer energiewandelnder Systeme
  344. Universitärer Forschungsschwerpunkt 4, Zwischenbericht des TP E (1991), Technische Universität Berlin

    Theses and course materials

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

 
 Seitenanfang  Impressum 2006-07-31, Michael Hinze