Michael Hinze

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 24

Top Topics

Model Predictive Control

Optimal Control

Evolution Equation

Top Venues

Adv. Comput. Math.

Comput. Optim. Appl.

SIAM J. Control. Optim.

Publications

Niklas Kühl, Hendrik Fischer, Michael Hinze, Thomas Rung
An incremental singular value decomposition approach for large-scale spatially parallel & distributed but temporally serial data - applied to technical flows. Comput. Phys. Commun. 296 (2024)
Michael Hinze, Christian Kahle
A least-squares space-time approach for parabolic equations. CoRR (2023)
Klaus Deckelnick, Philip J. Herbert, Michael Hinze
Convergence of a steepest descent algorithm in shape optimisation using $W^{1, \infty}$ functions. CoRR (2023)
Niklas Kühl, Hendrik Fischer, Michael Hinze, Thomas Rung
An Incremental Singular Value Decomposition Approach for Large-Scale Spatially Parallel & Distributed but Temporally Serial Data - Applied to Technical Flows. CoRR (2023)
Alessandro Alla, Carmen Gräßle, Michael Hinze
Time Adaptivity in Model Predictive Control. J. Sci. Comput. 90 (1) (2022)
Peter Marvin Müller, Niklas Kühl, Martin Siebenborn, Klaus Deckelnick, Michael Hinze, Thomas Rung
A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. CoRR (2021)
Michael Hinze, Denis Korolev
A space-time certified reduced basis method for quasilinear parabolic partial differential equations. Adv. Comput. Math. 47 (3) (2021)
Niklas Kühl, Jörn Kröger, Martin Siebenborn, Michael Hinze, Thomas Rung
Adjoint complement to the volume-of-fluid method for immiscible flows. J. Comput. Phys. 440 (2021)
Ahmad Ahmad Ali, Michael Hinze
Reduced Basis Methods - An Application to Variational Discretization of Parametrized Elliptic Optimal Control Problems. SIAM J. Sci. Comput. 42 (1) (2020)
Michael Hinze, Denis Korolev
Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors. CoRR (2020)
Niklas Kühl, Michael Hinze, Thomas Rung
Cahn-Hilliard Navier-Stokes Simulations for Marine Free-Surface Flows. CoRR (2020)
Michael Hinze, Denis Korolev
A space-time certified reduced basis method for quasilinear parabolic partial differential equations. CoRR (2020)
Carmen Gräßle, Michael Hinze, Stefan Volkwein
Model Order Reduction by Proper Orthogonal Decomposition. CoRR (2019)
Abramo Agosti, Pasquale Ciarletta, Harald Garcke, Michael Hinze
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. CoRR (2019)
Alessandro Alla, Michael Hinze, Philip Kolvenbach, Oliver Lass, Stefan Ulbrich
A certified model reduction approach for robust parameter optimization with PDE constraints. Adv. Comput. Math. 45 (3) (2019)
Carmen Gräßle, Michael Hinze, Jens Lang, Sebastian Ullmann
POD model order reduction with space-adapted snapshots for incompressible flows. Adv. Comput. Math. 45 (5) (2019)
Carmen Gräßle, Michael Hinze
POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. Adv. Comput. Math. 44 (6) (2018)
Michael Hinze, Barbara Kaltenbacher, Tran Nhan Tam Quyen
Identifying conductivity in electrical impedance tomography with total variation regularization. Numerische Mathematik 138 (3) (2018)
Peter Benner, Heike Faßbender, Michael Hinze, Tatjana Stykel, Ralf Zimmermann
Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017. Adv. Comput. Math. 44 (6) (2018)
Harald Garcke, Michael Hinze, Christian Kahle, Kei Fong Lam
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. Adv. Comput. Math. 44 (5) (2018)
Klaus Deckelnick, Michael Hinze, Tobias Jordan
An Optimal Shape Design Problem for Plates. SIAM J. Numer. Anal. 55 (1) (2017)
Ahmad Ahmad Ali, Elisabeth Ullmann, Michael Hinze
Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Wei Gong, Michael Hinze, Zhaojie Zhou
Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs. J. Sci. Comput. 66 (3) (2016)
Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
Global minima for semilinear optimal control problems. Comput. Optim. Appl. 65 (1) (2016)
Nikolaus von Daniels, Michael Hinze, Morten Vierling
Crank-Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems. SIAM J. Control. Optim. 53 (3) (2015)
Harald Garcke, Claudia Hecht, Michael Hinze, Christian Kahle
Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids. SIAM J. Sci. Comput. 37 (4) (2015)
Peter Benner, Roland Herzog, Michael Hinze, Arnd Rösch, Anton Schiela, Volker Schulz
Introduction to the special issue for EUCCO 2013. Comput. Optim. Appl. 62 (1) (2015)
Wei Gong, Michael Hinze, Zhaojie Zhou
A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Control. Optim. 52 (1) (2014)
Wei Gong, Michael Hinze
Error estimates for parabolic optimal control problems with control and state constraints. Comput. Optim. Appl. 56 (1) (2013)
Michael Hintermüller, Michael Hinze, Christian Kahle
An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. J. Comput. Phys. 235 (2013)
Klaus Deckelnick, Michael Hinze
A note on the approximation of elliptic control problems with bang-bang controls. Comput. Optim. Appl. 51 (2) (2012)
Michael Hinze, Morten Vierling
The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization. Optim. Methods Softw. 27 (6) (2012)
Wei Gong, Michael Hinze, Zhaojie Zhou
Space-time finite element approximation of parabolic optimal control problems. J. Num. Math. 20 (2) (2012)
Michael Hinze, Christian Meyer
Stability of semilinear elliptic optimal control problems with pointwise state constraints. Comput. Optim. Appl. 52 (1) (2012)
Michael Hinze, Ulrich Matthes
Model Order Reduction for Networks of ODE and PDE Systems. System Modelling and Optimization (2011)
Michael Hinze, Christian Kahle
A Nonlinear Model Predictive Concept for Control of Two-Phase Flows Governed by the Cahn-Hilliard Navier-Stokes System. System Modelling and Optimization (2011)
Michael Hintermüller, Michael Hinze, Moulay Hicham Tber
An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. Optim. Methods Softw. 26 (4-5) (2011)
Andreas Günther, Michael Hinze
Elliptic control problems with gradient constraints - variational discrete versus piecewise constant controls. Comput. Optim. Appl. 49 (3) (2011)
Dirk Abbeloos, Moritz Diehl, Michael Hinze, Stefan Vandewalle
Nested multigrid methods for time-periodic, parabolic optimal control problems. Comput. Vis. Sci. 14 (1) (2011)
Michael Hinze, Anton Schiela
Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment. Comput. Optim. Appl. 48 (3) (2011)
Michael Hinze, Christian Meyer
Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems. Comput. Optim. Appl. 46 (3) (2010)
Julia Sternberg, Michael Hinze
A memory-reduced implementation of the Newton-CG method in optimal control of nonlinear time-dependent PDEs. Optim. Methods Softw. 25 (4) (2010)
Klaus Deckelnick, Andreas Günther, Michael Hinze
Finite element approximation of elliptic control problems with constraints on the gradient. Numerische Mathematik 111 (3) (2009)
Klaus Deckelnick, Andreas Günther, Michael Hinze
Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains. SIAM J. Control. Optim. 48 (4) (2009)
Michael Hintermüller, Michael Hinze
Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment. SIAM J. Numer. Anal. 47 (3) (2009)
Andreas Günther, Michael Hinze
error control of a state constrained elliptic control problem. J. Num. Math. 16 (4) (2008)
Michael Hinze, Stefan Volkwein
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Comput. Optim. Appl. 39 (3) (2008)
Klaus Deckelnick, Michael Hinze
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem. SIAM J. Numer. Anal. 45 (5) (2007)
Michael Hinze, Stefan Ziegenbalg
Optimal control of the free boundary in a two-phase Stefan problem. J. Comput. Phys. 223 (2) (2007)
Michael Hintermüller, Michael Hinze
A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints. SIAM J. Optim. 16 (4) (2006)
Michael Hinze, Julia Sternberg
A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier-Stokes system. Optim. Methods Softw. 20 (6) (2005)
Michael Hinze
Instantaneous Closed Loop Control of the Navier-Stokes System. SIAM J. Control. Optim. 44 (2) (2005)
Michael Hinze
A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case. Comput. Optim. Appl. 30 (1) (2005)
Klaus Deckelnick, Michael Hinze
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Numerische Mathematik 97 (2) (2004)
Michael Hinze, Daniel Wachsmuth
Fast Closed Loop Control of the Navier-Stokes System. HPSC (2003)
Michael Hinze, Thomas Slawig
Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations. Optim. Methods Softw. 18 (3) (2003)
Michael Hinze, Karl Kunisch
Second Order Methods for Optimal Control of Time-Dependent Fluid Flow. SIAM J. Control. Optim. 40 (3) (2001)
Michael Hinze
On the Numerical Treatment of Quasiminimal Surfaces. IMPACT Comput. Sci. Eng. 5 (4) (1993)