Prof. Dr. Michael Hinze - Publikationen

Hinze, Michael; Hofmann, Bernd; Quyen, Tran Nhan Tam
A Regularization Approach for an Inverse Source Problem in Elliptic Systems from Single Cauchy Data
Numerical Functional Analysis and Optimization. Bd. 40. H. 9. London: Taylor & Francis 2019 S. 1080 - 1112

von Daniels, Nikolaus; Hinze, Michael
Variational Discretization of a Control-Constrained Parabolic Bang-Bang Optimal Control Problem
Journal of Computational Mathematics. Bd. 38. H. 1. Hong Kong: Global Science Press 2019 S. 14 - 40

Hintermüller, Michael; Hinze, Michael; Kahle, Christian et al.
A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system
Optimization and Engineering. Bd. 19. H. 3. Dordrecht: Springer 2018 S. 629 - 662

Garcke, Harald; Hinze, Michael; Kahle, Christian et al.
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints
Advances in Computational Mathematics. Bd. 44. H. 5. Dordrecht: Springer 2018 S. 1345 - 1383

Alla, Alessandro; Grässle, Carmen; Hinze, Michael
A posteriori snapshot location for POD in optimal control of linear parabolic equations
ESAIM: Mathematical Modelling and Numerical Analysis. Bd. 52. H. 5. Les Ulis: EDP Sciences 2018 S. 1847 - 1873

Heners, Jan Philipp; Radtke, Lars; Hinze, Michael et al.
Adjoint shape optimization for fluid-structure interaction of ducted flows
Computational Mechanics. Bd. 61. H. 3. Berlin: Springer 2018 S. 259 - 276

Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael
Error analysis for global minima of semilinear optimal control problems
Mathematical Control and Related Fields. Bd. 8. H. 1. Springfield, MO: American Institute of Mathematical Sciences 2018 S. 195 - 215

Hinze, Michael; Kaltenbacher, Barbara; Quyen, Tran Nhan Tam
Identifying conductivity in electrical impedance tomography with total variation regularization
Numerische Mathematik. Bd. 138. H. 3. Berlin: Springer 2018 S. 723 - 765

Benner, Peter; Faßbender, Heike; Hinze, Michael et al.
Model reduction of complex dynamical systems: Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017
Advances in Computational Mathematics. Bd. 44. H. 6. Dordrecht: Springer 2018 S. 1687 - 1691

Gräßle, Carmen; Hinze, Michael
POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations
Advances in Computational Mathematics. Bd. 44. H. 6. Dordrecht: Springer 2018 S. 1941 - 1978

Deckelnick, Klaus; Hinze, Michael; Jordan, Tobias
An Optimal Shape Design Problem for Plates
SIAM Journal on Numerical Analysis. Bd. 55. H. 1. Philadelphia, PA: Society for Industrial and Applied Mathematics 2017 S. 109 - 130

Ahmad Ali, Ahmad; Ullmann, Elisabeth; Hinze, Michael
Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients
SIAM/ASA Journal on Uncertainty Quantification. Bd. 5. H. 1. Philadelphia, PA: Society for Industrial and Applied Mathematics 2017 S. 466 - 492

Bruckner, Florian; Abert, Claas; Wautischer, Gregor et al.
Solving Large-Scale Inverse Magnetostatic Problems using the Adjoint Method
Scientific Reports. Bd. 7. London: Macmillan Publishers Limited 2017

Garcke, Harald; Hinze, Michael; Kahle, Christian
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow
Applied Numerical Mathematics. Bd. 99. Amsterdam: Elsevier 2016 S. 151 - 171

Gong, Wei; Hinze, Michael; Zhou, Zhaojie
Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs
Journal of Scientific Computing. Bd. 66. H. 3. New York, NY: Springer 2016 S. 941 - 967

Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael
Global minima for semilinear optimal control problems
Computational Optimization and Applications. Bd. 65. H. 1. New York, NY: Springer 2016 S. 261 - 288

Hinze, Michael; Quyen, Tran Nhan Tam
Matrix coefficient identification in an elliptic equation with the convex energy functional method
Inverse Problems. Bd. 32. H. 8. Bristol: Institute of Physics Publishing 2016

Garcke, Harald; Hecht, Claudia; Hinze, Michael et al.
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach
Interfaces and Free Boundaries. Bd. 18. H. 2. Zürich: European Mathematical Society 2016 S. 219 - 261

von Daniels, Nikolaus; Hinze, Michael; Vierling, Morten
Crank-Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems
SIAM Journal on Control and Optimization. Bd. 53. H. 3. Philadelphia, PA: Society for Industrial and Applied Mathematics 2015 S. 1182 - 1198

Benner, Peter; Herzog, Roland; Hinze, Michael et al.
Introduction to the special issue for EUCCO 2013
Computational Optimization and Applications. Bd. 62. H. 1. New York, NY: Springer 2015 S. 1 - 3

Garcke, Harald; Hecht, Claudia; Hinze, Michael et al.
Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids
SIAM Journal on Scientific Computing. Bd. 37. H. 4. Philadelphia, PA: Society for Industrial and Applied Mathematics 2015 S. A1846 - A1871

Gong, Wei; Hinze, Michael; Zhou, Zhaojie
A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control
SIAM Journal on Control and Optimization. Bd. 52. H. 1. Philadelphia, PA: Society for Industrial and Applied Mathematics 2014 S. 97 - 119

Hintermüller, Michael; Hinze, Michael; Kahle, Christian
An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system
Journal of Computational Physics. Bd. 235. Amsterdam: Elsevier 2013 S. 810 - 827

Herkt, Sabrina; Hinze, Michael; Pinnau, René
Convergence analysis of Galerkin POD for linear second order evolution equations
Electronic Transactions on Numerical Analysis. Bd. 40. Kent, OH: Kent State University Library 2013 S. 321 - 337

Gong, Wei; Hinze, Michael
Error estimates for parabolic optimal control problems with control and state constraints
Computational Optimization and Applications. Bd. 56. H. 1. New York, NY: Springer 2013 S. 131 - 151

Kollers, Sonja; Rodemann, Bernd; Ling, Jie et al.
Genetic architecture of resistance to Septoria tritici blotch (Mycosphaerella graminicola) in European winter wheat
Molecular Breeding. Bd. 32. H. 2. Dordrecht: Springer 2013 S. 411 - 423

Deckelnick, Klaus; Hinze, Michael
A note on the approximation of elliptic control problems with bang-bang controls
Computational Optimization and Applications. Bd. 51. H. 2. New York, NY: Springer 2012 S. 931 - 939

Deckelnick, Klaus; Hinze, Michael
Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs
Inverse Problems. Bd. 28. H. 11. Bristol: Institute of Physics Publishing 2012

Frank, Martin; Herty, Michael; Hinze, Michael
Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy
Journal of Applied Mathematics and Mechanics : Zeitschrift für Angewandte Mathematik und Mechanik. Bd. 92. H. 1. Berlin: Wiley-VCH 2012 S. 8 - 24

Hinze, Michael; Kunkel, Martin; Steinbrecher, Andreas et al.
Model order reduction of coupled circuit-device systems
International Journal of Numerical Modelling. Bd. 25. H. 4. Chichester: Wiley 2012 S. 362 - 377

Hinze, Michael; Vierling, Morten
Optimal Control of the Laplace-Beltrami Operator on Compact Surfaces-Concept and Numerical Treatment
Journal of Computational Mathematics. Bd. 30. H. 4. Hong Kong: Global Science Press 2012 S. 392 - 403

Hinze, Michael; Kunkel, Martin
Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks
Journal of Applied Mathematics and Mechanics : Zeitschrift für Angewandte Mathematik und Mechanik. Bd. 92. H. 2. Berlin: Wiley-VCH 2012 S. 91 - 104

Gong, Wei; Hinze, Michael; Zhou, Zhaojie
Space-time finite element approximation of parabolic optimal control problems
Journal of Numerical Mathematics. Bd. 20. H. 2. Berlin: De Gruyter 2012 S. 111 - 146

Hinze, Michael; Meyer, C.
Stability of semilinear elliptic optimal control problems with pointwise state constraints
Computational Optimization and Applications. Bd. 52. H. 1. New York, NY: Springer 2012 S. 87 - 114

Hinze, Michael; Vierling, Morten
The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization
Optimization Methods and Software. Bd. 27. H. 6. London: Taylor & Francis 2012 S. 933 - 950

Hintermüller, Michael; Hinze, Michael; Hoppe, Ronald H. W.
Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state- constraints
Journal of Computational Mathematics. Bd. 30. H. 2. Hong Kong: Global Science Press 2012 S. 101 - 123

Hintermüller, Michael; Hinze, Michael; Tber, Moulay Hicham
An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem
Optimization Methods and Software. Bd. 26. H. 4-5. London: Taylor & Francis 2011 S. 777 - 811

Hinze, Michael; Schiela, Anton
Discretization of interior point methods for state constrained elliptic optimal control problems: Optimal error estimates and parameter adjustment
Computational Optimization and Applications. Bd. 48. H. 3. New York, NY: Springer 2011 S. 581 - 600

Günther, Andreas; Hinze, Michael
Elliptic control problems with gradient constraints-variational discrete versus piecewise constant controls
Computational Optimization and Applications. Bd. 49. H. 3. New York, NY: Springer 2011 S. 549 - 566

Deckelnick, Klaus; Hinze, Michael
Variational Discretization of Parabolic Control Problems in the Presence of Pointwise State Constraints
Journal of Computational Mathematics. Bd. 29. H. 1. Hong Kong: Global Science Press 2011 S. 1 - 15

Sternberg, Julia; Hinze, Michael
A memory-reduced implementation of the Newton-CG method in optimal control of nonlinear time-dependent PDEs
Optimization Methods and Software. Bd. 25. H. 4. London: Taylor & Francis 2010 S. 553 - 571

Hinze, Michael; Schulz, Volker
Preface of the guest-editors
GAMM-Mitteilungen. Bd. 33. H. 2. Weinheim: Wiley 2010 S. 131 - 132

Hinze, Michael; Meyer, C.
Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems
Computational Optimization and Applications. Bd. 46. H. 3. New York, NY: Springer 2010 S. 487 - 510

Hinze, Michael; Matthes, Ulrich
A note on variational discretization of elliptic Neumann boundary control
Control and Cybernetics. Bd. 38. H. 3. Warszawa: SRI PAS 2009 S. 577 - 591

Deckelnick, Klaus; Günther, Andreas; Hinze, Michael
Finite element approximation of elliptic control problems with constraints on the gradient
Numerische Mathematik. Bd. 111. H. 3. Berlin: Springer 2009 S. 335 - 350

Hintermüller, Michael; Hinze, Michael
Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
SIAM Journal on Numerical Analysis. Bd. 47. H. 3. Philadelphia, PA: Society for Industrial and Applied Mathematics 2009 S. 1666 - 1683

Hinze, Michael; Paetzold, Olf; Ziegenbalg, Stefan
Solidification of a GaAs melt-Optimal control of the phase interface
Journal of Crystal Growth. Bd. 311. H. 8. Amsterdam: Elsevier 2009 S. 2501 - 2507

Hinze, Michael; Yan, Ningning; Zhou, Zhaojie
Variational Discretization for Optimal Control Governed by Convection Dominated Diffusion Equations
Journal of Computational Mathematics. Bd. 27. H. 2-3. Hong Kong: Global Science Press 2009 S. 237 - 253

Günther, Andreas; Hinze, Michael
A posteriori error control of a state constrained elliptic control problem
Journal of Numerical Mathematics. Bd. 16. H. 4. Berlin: De Gruyter 2008 S. 307 - 322

Hinze, Michael; Volkwein, Stefan
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition
Computational Optimization and Applications. Bd. 39. H. 3. New York, NY: Springer 2008 S. 319 - 345

Deckelnick, Klaus; Hinze, Michael
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
SIAM Journal on Numerical Analysis. Bd. 45. H. 5. Philadelphia, PA: Society for Industrial and Applied Mathematics 2007 S. 1937 - 1953

Hinze, Michael; Ziegenbalg, Stefan
Optimal control of the free boundary in a two-phase Stefan problem
Journal of Computational Physics. Bd. 223. H. 2. Amsterdam: Elsevier 2007 S. 657 - 684

Hinze, Michael; Ziegenbalg, Stefan
Optimal control of the free boundary in a two-phase Stefan problem with flow driven by convection
Journal of Applied Mathematics and Mechanics : Zeitschrift für Angewandte Mathematik und Mechanik. Bd. 87. H. 6. Berlin: Wiley-VCH 2007 S. 430 - 448

Hinze, Michael; Pinnau, René
Second-Order Approach to Optimal Semiconductor Design
Journal of Optimization Theory and Applications. Bd. 133. H. 2. Dordrecht: Springer 2007 S. 179 - 199

Hintermüller, Michael; Hinze, Michael
A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints
SIAM Journal on Optimization. Bd. 16. H. 4. Philadelphia, PA: Society for Industrial and Applied Mathematics 2006 S. 1177 - 1200

Hinze, Michael; Walther, Andrea; Sternberg, Julia
An optimal memory-reduced procedure for calculating adjoints of the instationary Navier-Stokes equations
Optimal Control, Applications and Methods. Bd. 27. H. 1. New York, NY: Wiley 2006 S. 19 - 40

Bärwolff, Günter; Hinze, Michael
Optimization of semiconductor melts
Journal of Applied Mathematics and Mechanics : Zeitschrift für Angewandte Mathematik und Mechanik. Bd. 86. H. 6. Berlin: Wiley-VCH 2006 S. 423 - 437

Hinze, Michael
A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case
Computational Optimization and Applications. Bd. 30. H. 1. New York, NY: Springer 2005 S. 45 - 61

Hinze, Michael; Sternberg, Julia
A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier-Stokes system
Optimization Methods and Software. Bd. 20. H. 6. London: Taylor & Francis 2005 S. 645 - 663

Griesse, Roland; Hintermüller, Michael; Hinze, Michael
Differential stability of control-constrained optimal control problems for the Navier-Stokes equations
Numerical Functional Analysis and Optimization. Bd. 26. H. 7-8. London: Taylor & Francis 2005 S. 829 - 850

Hinze, Michael; Kunisch, Karl
Second order methods for boundary control of the instationary Navier-Stokes system
Journal of Applied Mathematics and Mechanics : Zeitschrift für Angewandte Mathematik und Mechanik. Bd. 84. H. 3. Berlin: Wiley-VCH 2004 S. 171 - 187

Deckelnick, Klaus; Hinze, Michael
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations
Numerische Mathematik. Bd. 97. H. 2. Berlin: Springer 2004 S. 297 - 320

Hinze, Michael; Slawig, Thomas
Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations
Optimization Methods and Software. Bd. 18. H. 3. London: Taylor & Francis 2003 S. 299 - 315

Hinze, Michael; Pinnau, René
An optimal control approach to semiconductor design
Mathematical Models and Methods in Applied Sciences. Bd. 12. H. 1. Singapore: World Scientific 2002 S. 89 - 107

Hinze, Michael; Volkwein, Stefan
Analysis of instantaneous control for the Burgers equation
Nonlinear Analysis. Bd. 50. H. 1. Amsterdam: Elsevier 2002 S. 1 - 26

Hintermüller, Michael; Hinze, Michael
Globalization of SQP-methods in control of the instationary Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis. Bd. 36. H. 4. Les Ulis: EDP Sciences 2002 S. 725 - 746

Hinze, Michael
A remark on second order methods in control of fluid flow
Journal of Applied Mathematics and Mechanics : Zeitschrift für Angewandte Mathematik und Mechanik. Bd. 81. H. S3. Berlin: Wiley-VCH 2001 S. 791 - 792

Hinze, Michael; Kunisch, Karl
Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
SIAM Journal on Control and Optimization. Bd. 40. H. 3. Philadelphia, PA: Society for Industrial and Applied Mathematics 2001 S. 925 - 946

Hinze, Michael; Kunisch, Karl
Three Control Methods for Time-Dependent Fluid Flow
Flow, Turbulence and Combustion. Bd. 65. H. 3-4. Dordrecht: Springer 2000 S. 273 - 298

Choi, Haecheon; Hinze, Michael; Kunisch, Karl
Instantaneous control of backward-facing step flows
Applied Numerical Mathematics. Bd. 31. H. 2. Amsterdam: Elsevier 1999 S. 133 - 158

Hinze, Michael; Koecher, Ralf; Pfafferott, Jens
Ein Konzept zur numerischen Simulation von Waermenetzen = Concept for the numerical simulation of heating grids
Brennstoff, Wärme, Kraft. Bd. 49. H. 1-2. Düsseldorf: Verein Deutscher Ingenieure 1997 S. 50 - &

Hinze, Michael
On the numerical approximation and computation of minimal surface continua bounded by one-parameter families of polygonal contours
Applied Numerical Mathematics. Bd. 25. H. 1. Amsterdam: Elsevier 1997 S. 89 - 116

Hinze, Michael
On the numerical approximation of unstable minimal surfaces with polygonal boundaries
Numerische Mathematik. Bd. 73. H. 1. Berlin: Springer 1996 S. 95 - 118

Hinze, Michael; Köcher, Ralf; Pfafferott, Jens
Zur numerischen Simulation von Wärmenetzen = On the numerical simulation of thermal networks
Forschung im Ingenieurwesen. Bd. 62. H. 11-12. Berlin: Springer 1996 S. 301 - 314