On the Numerical Treatment of Quasiminimal Surfaces. - Michael Hinze (IMPACT Comput. Sci. Eng., 1993)

Second Order Methods for Optimal Control of Time-Dependent Fluid Flow. - Michael Hinze; Karl Kunisch (SIAM J. Control. Optim., 2001)

Fast Closed Loop Control of the Navier-Stokes System. - Michael Hinze; Daniel Wachsmuth (HPSC, 2003)

Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations. - Michael Hinze; Thomas Slawig (Optim. Methods Softw., 2003)

Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. - Klaus Deckelnick; Michael Hinze (Numerische Mathematik, 2004)

A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case. - Michael Hinze (Comput. Optim. Appl., 2005)

A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier-Stokes system. - Michael Hinze; Julia Sternberg (Optim. Methods Softw., 2005)

Instantaneous Closed Loop Control of the Navier-Stokes System. - Michael Hinze (SIAM J. Control. Optim., 2005)

A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier–Stokes System Subject to Control Constraints. - Michael Hintermüller; Michael Hinze (SIAM J. Optim., 2006)

Optimal control of the free boundary in a two-phase Stefan problem. - Michael Hinze; Stefan Ziegenbalg (J. Comput. Phys., 2007)

Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem. - Klaus Deckelnick; Michael Hinze (SIAM J. Numer. Anal., 2007)

Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. - Michael Hinze; Stefan Volkwein (Comput. Optim. Appl., 2008)

A posteriori error control of a state constrained elliptic control problem. - Andreas Günther; Michael Hinze (J. Num. Math., 2008)

Optimization with PDE Constraints. - Michael Hinze; René Pinnau; Michael Ulbrich; Stefan Ulbrich (Springer, 2009)

Finite element approximation of elliptic control problems with constraints on the gradient. - Klaus Deckelnick; Andreas Günther; Michael Hinze (Numerische Mathematik, 2009)

Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains. - Klaus Deckelnick; Andreas Günther; Michael Hinze (SIAM J. Control. Optim., 2009)

Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment. - Michael Hintermüller; Michael Hinze (SIAM J. Numer. Anal., 2009)

Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems. - Michael Hinze; Christian Meyer 001 (Comput. Optim. Appl., 2010)

A memory-reduced implementation of the Newton-CG method in optimal control of nonlinear time-dependent PDEs. - Julia Sternberg; Michael Hinze (Optim. Methods Softw., 2010)

A Nonlinear Model Predictive Concept for Control of Two-Phase Flows Governed by the Cahn-Hilliard Navier-Stokes System. - Michael Hinze; Christian Kahle (System Modelling and Optimization, 2011)

Model Order Reduction for Networks of ODE and PDE Systems. - Michael Hinze; Ulrich Matthes (System Modelling and Optimization, 2011)

Elliptic control problems with gradient constraints - variational discrete versus piecewise constant controls. - Andreas Günther; Michael Hinze (Comput. Optim. Appl., 2011)

Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment. - Michael Hinze; Anton Schiela (Comput. Optim. Appl., 2011)

Nested multigrid methods for time-periodic, parabolic optimal control problems. - Dirk Abbeloos; Moritz Diehl; Michael Hinze; Stefan Vandewalle (Comput. Vis. Sci., 2011)

An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. - Michael Hintermüller; Michael Hinze; Moulay Hicham Tber (Optim. Methods Softw., 2011)

A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints. - Andreas Günther; Michael Hinze; Moulay Hicham Tber (Constrained Optimization and Optimal Control for Partial Differential Equations, 2012)

A Space-Time Multigrid Method for Optimal Flow Control. - Michael Hinze; Michael Köster; Stefan Turek (Constrained Optimization and Optimal Control for Partial Differential Equations, 2012)

Discretization of Optimal Control Problems. - Michael Hinze; Arnd Rösch (Constrained Optimization and Optimal Control for Partial Differential Equations, 2012)

A Globalized Semi-smooth Newton Method for Variational Discretization of Control Constrained Elliptic Optimal Control Problems. - Michael Hinze; Morten Vierling (Constrained Optimization and Optimal Control for Partial Differential Equations, 2012)

A note on the approximation of elliptic control problems with bang-bang controls. - Klaus Deckelnick; Michael Hinze (Comput. Optim. Appl., 2012)

Stability of semilinear elliptic optimal control problems with pointwise state constraints. - Michael Hinze; Christian Meyer 001 (Comput. Optim. Appl., 2012)

Space-time finite element approximation of parabolic optimal control problems. - Wei Gong 005; Michael Hinze; Zhaojie Zhou (J. Num. Math., 2012)

The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization. - Michael Hinze; Morten Vierling (Optim. Methods Softw., 2012)

Error estimates for parabolic optimal control problems with control and state constraints. - Wei Gong 005; Michael Hinze (Comput. Optim. Appl., 2013)

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

A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control. - Wei Gong 005; Michael Hinze; Zhaojie Zhou (SIAM J. Control. Optim., 2014)

Introduction to the special issue for EUCCO 2013. - Peter Benner; Roland Herzog; Michael Hinze; Arnd Rösch; Anton Schiela; Volker Schulz 001 (Comput. Optim. Appl., 2015)

Crank-Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems. - Nikolaus von Daniels; Michael Hinze; Morten Vierling (SIAM J. Control. Optim., 2015)

Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids. - Harald Garcke; Claudia Hecht; Michael Hinze; Christian Kahle (SIAM J. Sci. Comput., 2015)

Global minima for semilinear optimal control problems. - Ahmad Ahmad Ali; Klaus Deckelnick; Michael Hinze (Comput. Optim. Appl., 2016)

Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs. - Wei Gong 005; Michael Hinze; Zhaojie Zhou (J. Sci. Comput., 2016)

Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients. - Ahmad Ahmad Ali; Elisabeth Ullmann; Michael Hinze (SIAM/ASA J. Uncertain. Quantification, 2017)

An Optimal Shape Design Problem for Plates. - Klaus Deckelnick; Michael Hinze; Tobias Jordan (SIAM J. Numer. Anal., 2017)

Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017. - Peter Benner; Heike Faßbender; Michael Hinze; Tatjana Stykel; Ralf Zimmermann 002 (Adv. Comput. Math., 2018)

A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. - Harald Garcke; Michael Hinze; Christian Kahle; Kei Fong Lam (Adv. Comput. Math., 2018)

POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. - Carmen Gräßle; Michael Hinze (Adv. Comput. Math., 2018)

Identifying conductivity in electrical impedance tomography with total variation regularization. - Michael Hinze; Barbara Kaltenbacher; Tran Nhan Tam Quyen (Numerische Mathematik, 2018)

A certified model reduction approach for robust parameter optimization with PDE constraints. - Alessandro Alla; Michael Hinze; Philip Kolvenbach; Oliver Lass; Stefan Ulbrich (Adv. Comput. Math., 2019)

POD model order reduction with space-adapted snapshots for incompressible flows. - Carmen Gräßle; Michael Hinze; Jens Lang 001; Sebastian Ullmann (Adv. Comput. Math., 2019)

Model Order Reduction by Proper Orthogonal Decomposition. - Carmen Gräßle; Michael Hinze; Stefan Volkwein (CoRR, 2019)

Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. - Abramo Agosti; Pasquale Ciarletta; Harald Garcke; Michael Hinze (CoRR, 2019)

Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors. - Michael Hinze; Denis Korolev (CoRR, 2020)

Cahn-Hilliard Navier-Stokes Simulations for Marine Free-Surface Flows. - Niklas Kühl 002; Michael Hinze; Thomas Rung (CoRR, 2020)

Reduced Basis Methods - An Application to Variational Discretization of Parametrized Elliptic Optimal Control Problems. - Ahmad Ahmad Ali; Michael Hinze (SIAM J. Sci. Comput., 2020)

A space-time certified reduced basis method for quasilinear parabolic partial differential equations. - Michael Hinze; Denis Korolev (Adv. Comput. Math., 2021)

A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. - Peter Marvin Müller; Niklas Kühl 002; Martin Siebenborn; Klaus Deckelnick; Michael Hinze; Thomas Rung (CoRR, 2021)

Adjoint complement to the volume-of-fluid method for immiscible flows. - Niklas Kühl 002; Jörn Kröger; Martin Siebenborn; Michael Hinze; Thomas Rung (J. Comput. Phys., 2021)

Time Adaptivity in Model Predictive Control. - Alessandro Alla; Carmen Gräßle; Michael Hinze (J. Sci. Comput., 2022)

A least-squares space-time approach for parabolic equations. - Michael Hinze; Christian Kahle (CoRR, 2023)

Convergence of a steepest descent algorithm in shape optimisation using $W^{1, infty}$ functions. - Klaus Deckelnick; Philip J. Herbert; Michael Hinze (CoRR, 2023)

An incremental singular value decomposition approach for large-scale spatially parallel & distributed but temporally serial data - applied to technical flows. - Niklas Kühl 002; Hendrik Fischer; Michael Hinze; Thomas Rung (Comput. Phys. Commun., 2024)