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2020 – today
- 2024
[j46]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: 109022 (2024)- 2023
- [i9]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 abs/2302.09149 (2023) - [i8]Michael Hinze, Christian Kahle:
A least-squares space-time approach for parabolic equations. CoRR abs/2305.03402 (2023) - [i7]Klaus Deckelnick, Philip J. Herbert, Michael Hinze:
Convergence of a steepest descent algorithm in shape optimisation using $W^{1, \infty}$ functions. CoRR abs/2310.15078 (2023) - 2022
- [j45]Alessandro Alla, Carmen Gräßle, Michael Hinze:
Time Adaptivity in Model Predictive Control. J. Sci. Comput. 90(1): 12 (2022) - 2021
- [j44]Michael Hinze, Denis Korolev:
A space-time certified reduced basis method for quasilinear parabolic partial differential equations. Adv. Comput. Math. 47(3): 36 (2021) - [j43]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: 110411 (2021) - [i6]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 abs/2103.14735 (2021) - 2020
- [j42]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): A271-A291 (2020) - [i5]Michael Hinze, Denis Korolev:
Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors. CoRR abs/2002.04288 (2020) - [i4]Niklas Kühl, Michael Hinze, Thomas Rung:
Cahn-Hilliard Navier-Stokes Simulations for Marine Free-Surface Flows. CoRR abs/2002.04885 (2020) - [i3]Michael Hinze, Denis Korolev:
A space-time certified reduced basis method for quasilinear parabolic partial differential equations. CoRR abs/2004.00548 (2020)
2010 – 2019
- 2019
- [j41]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): 1221-1250 (2019) - [j40]Carmen Gräßle, Michael Hinze, Jens Lang, Sebastian Ullmann:
POD model order reduction with space-adapted snapshots for incompressible flows. Adv. Comput. Math. 45(5): 2401-2428 (2019) - [i2]Carmen Gräßle, Michael Hinze, Stefan Volkwein:
Model Order Reduction by Proper Orthogonal Decomposition. CoRR abs/1906.05188 (2019) - [i1]Abramo Agosti, Pasquale Ciarletta, Harald Garcke, Michael Hinze:
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. CoRR abs/1912.08036 (2019) - 2018
- [j39]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): 1345-1383 (2018) - [j38]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): 1687-1691 (2018) - [j37]Carmen Gräßle, Michael Hinze:
POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. Adv. Comput. Math. 44(6): 1941-1978 (2018) - [j36]Michael Hinze, Barbara Kaltenbacher, Tran Nhan Tam Quyen:
Identifying conductivity in electrical impedance tomography with total variation regularization. Numerische Mathematik 138(3): 723-765 (2018) - 2017
- [j35]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): 466-492 (2017) - [j34]Klaus Deckelnick, Michael Hinze, Tobias Jordan:
An Optimal Shape Design Problem for Plates. SIAM J. Numer. Anal. 55(1): 109-130 (2017) - 2016
- [j33]Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze:
Global minima for semilinear optimal control problems. Comput. Optim. Appl. 65(1): 261-288 (2016) - [j32]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): 941-967 (2016) - 2015
- [j31]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): 1-3 (2015) - [j30]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): 1182-1198 (2015) - [j29]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) - 2014
- [j28]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): 97-119 (2014) - 2013
- [j27]Wei Gong, Michael Hinze:
Error estimates for parabolic optimal control problems with control and state constraints. Comput. Optim. Appl. 56(1): 131-151 (2013) - [j26]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: 810-827 (2013) - 2012
- [j25]Klaus Deckelnick, Michael Hinze:
A note on the approximation of elliptic control problems with bang-bang controls. Comput. Optim. Appl. 51(2): 931-939 (2012) - [j24]Michael Hinze, Christian Meyer:
Stability of semilinear elliptic optimal control problems with pointwise state constraints. Comput. Optim. Appl. 52(1): 87-114 (2012) - [j23]Wei Gong, Michael Hinze, Zhaojie Zhou:
Space-time finite element approximation of parabolic optimal control problems. J. Num. Math. 20(2): 111-146 (2012) - [j22]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): 933-950 (2012) - [p4]Michael Hinze, Michael Köster, Stefan Turek:
A Space-Time Multigrid Method for Optimal Flow Control. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 147-170 - [p3]Michael Hinze, Morten Vierling:
A Globalized Semi-smooth Newton Method for Variational Discretization of Control Constrained Elliptic Optimal Control Problems. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 171-182 - [p2]Andreas Günther, Michael Hinze, Moulay Hicham Tber:
A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 303-317 - [p1]Michael Hinze, Arnd Rösch:
Discretization of Optimal Control Problems. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 391-430 - [e1]Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich:
Constrained Optimization and Optimal Control for Partial Differential Equations. International series of numerical mathematics 160, Birkhäuser / Springer 2012, ISBN 978-3-0348-0132-4 [contents] - 2011
- [j21]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): 581-600 (2011) - [j20]Andreas Günther, Michael Hinze:
Elliptic control problems with gradient constraints - variational discrete versus piecewise constant controls. Comput. Optim. Appl. 49(3): 549-566 (2011) - [j19]Dirk Abbeloos, Moritz Diehl, Michael Hinze, Stefan Vandewalle:
Nested multigrid methods for time-periodic, parabolic optimal control problems. Comput. Vis. Sci. 14(1): 27-38 (2011) - [j18]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): 777-811 (2011) - [c3]Michael Hinze, Ulrich Matthes:
Model Order Reduction for Networks of ODE and PDE Systems. System Modelling and Optimization 2011: 92-101 - [c2]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: 348-357 - 2010
- [j17]Michael Hinze, Christian Meyer:
Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems. Comput. Optim. Appl. 46(3): 487-510 (2010) - [j16]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): 553-571 (2010)
2000 – 2009
- 2009
- [b1]Michael Hinze, René Pinnau, Michael Ulbrich, Stefan Ulbrich:
Optimization with PDE Constraints. Mathematical modelling 23, Springer 2009, ISBN 978-1-4020-8838-4, pp. I-XI, 1-270 - [j15]Klaus Deckelnick, Andreas Günther, Michael Hinze:
Finite element approximation of elliptic control problems with constraints on the gradient. Numerische Mathematik 111(3): 335-350 (2009) - [j14]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): 2798-2819 (2009) - [j13]Michael Hintermüller, Michael Hinze:
Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment. SIAM J. Numer. Anal. 47(3): 1666-1683 (2009) - 2008
- [j12]Michael Hinze, Stefan Volkwein:
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Comput. Optim. Appl. 39(3): 319-345 (2008) - [j11]Andreas Günther, Michael Hinze:
A posteriori error control of a state constrained elliptic control problem. J. Num. Math. 16(4): 307-322 (2008) - 2007
- [j10]Michael Hinze, Stefan Ziegenbalg:
Optimal control of the free boundary in a two-phase Stefan problem. J. Comput. Phys. 223(2): 657-684 (2007) - [j9]Klaus Deckelnick, Michael Hinze:
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem. SIAM J. Numer. Anal. 45(5): 1937-1953 (2007) - 2006
- [j8]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): 1177-1200 (2006) - 2005
- [j7]Michael Hinze:
A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case. Comput. Optim. Appl. 30(1): 45-61 (2005) - [j6]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): 645-663 (2005) - [j5]Michael Hinze:
Instantaneous Closed Loop Control of the Navier-Stokes System. SIAM J. Control. Optim. 44(2): 564-583 (2005) - 2004
- [j4]Klaus Deckelnick, Michael Hinze:
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Numerische Mathematik 97(2): 297-320 (2004) - 2003
- [j3]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): 299-315 (2003) - [c1]Michael Hinze, Daniel Wachsmuth:
Fast Closed Loop Control of the Navier-Stokes System. HPSC 2003: 189-201 - 2001
- [j2]Michael Hinze, Karl Kunisch:
Second Order Methods for Optimal Control of Time-Dependent Fluid Flow. SIAM J. Control. Optim. 40(3): 925-946 (2001)
1990 – 1999
- 1993
- [j1]Michael Hinze:
On the Numerical Treatment of Quasiminimal Surfaces. IMPACT Comput. Sci. Eng. 5(4): 249-270 (1993)
Coauthor Index
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