Publications
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Recent material
Evelyn Herberg, Michael Hinze: Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation. arXiv:2106.14795
Klaus Deckelnick, Philip J. Herbert, Michael Hinze: A novel 1,∞ approach to shape optimisation with Lipschitz domains. ESAIM: COCV https://doi.org/10.1051/cocv/2021108, see also arXiv:2103.13857 (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. Struct Multidisc Optim 64, 3489–3503 (2021). https://doi.org/10.1007/s00158-021-03030-x, and arXiv:2103.14735, (2021).
Alessandro Alla, Carmen Gräßle, Michael Hinze: Time adaptivity in model predictive control. J Sci Comput 90, 12 (2022). https://doi.org/10.1007/s10915-021-01647-0, and arXiv:2009.01332, (2022)
Peter Benner, Tobias Breiten, Heike Faßbender, Michael Hinze, Tatjana Stykel, and Ralf Zimmermann (Eds.). Model Reduction of Complex Dynamical Systems. International Series of Numerical Mathematics, Vol. 171, Birkhäuser Basel/Springer Nature, 2021.
Michael Hinze, Denis Korolev: A space-time certified reduced basis method for quasilinear parabolic partial differential equations. Adv Comput Math 47, 36 (2021). https://doi.org/10.1007/s10444-021-09860-z , and arXiv:2004.00548
Niklas Kühl, Jörn Kröger, Martin Siebenborn, Michael Hinze, Thomas Rung: Adjoint Complement to the Volume-of-Fluid Method for Immiscible Flows. Journal of Computational Physics 440 (2021) https://doi.org/10.1016/j.jcp.2021.110411, and arXiv:2009.03957
Kulchytska-Ruchka, Iryna ; Schöps, Sebastian ; Hinze, Michael ; Friedhoff, Stephanie ; Ulbrich, Stefan ; Rain, Oliver. PASIROM: Parallel Simulation and Robust Optimization of Electro-Mechanical Energy Converters. In Success Stories on Mathematics in Industry. Springer (2021)
Ahmad Ahmad Ali, Michael Hinze, Heiko Kröner: Optimal control of elliptic surface PDEs with pointwise bounds on the state, IMA Journal of Numerical Analysis, Volume 40:226–246 (2020)
Evelyn Herberg, Michael Hinze: Variational discretization approach applied to an optimal control problem with bounded measure controls. Radon Series on Computational and Applied Mathematics. Volume 29, "Optimization and Control for Partial Differential Equations", 2021, and arXiv:2003.14380
N. Kühl, M. Hinze, T. Rung: Cahn-Hilliard Navier-Stokes Simulations for Marine Free-Surface Flows. arXiv:2002.04885 (2020) (accepted for publication in Experimental and Computational Multiphase Flow).
M. Hinze, D. Korolev: Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors. Model Reduction of Complex Dynamical Systems, ISNM International Series of Numerical Mathematics (2021), and arXiv:2002.04288 (2020)
A. Agosti, P. Ciarletta, H. Garcke, M. Hinze: Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. M2AN (M2AN-Link).
C. Gräßle, M. Hinze, S. Volkwein: Model Order Reduction by Proper Orthogonal Decomposition. arXiv:1906.05188 (2019)
C. Gräßle, M. Hintermüller, M. Hinze, T. Keil: Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System. arXiv:1907.04285 (2019)
E. Herberg, M. Hinze, H. Schumacher: Maximal discrete sparsity in parabolic optimal control with measures. arXiv:1804.10549 (2018), to appear in MCRF.
A. Ahmad Ali, M. Hinze: Reduced basis methods- an application to variational discretization of parametrized elliptic optimal control problems. SISC, accepted for publication. arXiv:1808.05687 (2018).
N. Kühl, P. M. Müller, A., M. Hinze, T. Rung: Decoupling of Control and Force Objective in Adjoint-Based Fluid Dynamic Shape Optimization.. AIAA Journal (2019), arXiv:1902.04918
M. Hinze and T. N. T. Quyen: Finite element approximation of source
term identification with TV-regularization. arXiv:1901.10278 (2019), Inverse Problems 35 (2019)
C. Gräßle, M. Hinze, J. Lang, S. Ullmann: POD model order reduction with space-adapted snapshots for incompressible flows. arXiv:1810.03892 (2018), to appear in ACOM.
Alessandro Alla, Carmen Gräßle, Michael Hinze: A posteriori snapshot location for POD in optimal control of linear parabolic equations. ESAIM: M2AN 52 (2018) 1847–1873
A. Ahmad Ali,K. Deckelnick, and M. Hinze: Global minima for optimal control of the obstacle problem. arXiv:1810.08556 (2018), to appear in ESAIM: Control, Optimisation and Calculus of Variations (COCV).
A. Ahmad Ali,K. Deckelnick, and M. Hinze: Sufficient conditions for unique global solutions in optimal control of semilinear equations with 1−nonlinearity. arXiv:1902.09639, to appear in Control & Cybernetics.
Michael Hinze, Heiko Kröner: Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints. arXiv:1604.07658 (2016)
Alessandro Alla, Carmen Gräßle, Michael Hinze: A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations. IFAC-PapersOnLine Volume 49, Issue 8, 2016, Pages 13-18.
Publications in the UKO database
$$CGI https://www.uni-koblenz-landau.de/koblenz/fb3/publications/pub.php?lastname=Hinze&prename=Michael&editor=1&year=1$$
https://orcid.org/0000-0001-9688-0150
