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Recent material

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. arXiv:2103.14735, accepted for publication in Structural and Multidisciplinary Optimization (2021).

Alessandro Alla, Carmen Gräßle, Michael Hinze: Time adaptivity in model predictive control. arXiv:2009.01332, accepted for publication in JCOMP (2020)

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.

Evelyn Herberg, Michael Hinze: Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation. arXiv:2106.14795 (2021)

Klaus Deckelnick, Philip J. Herbert, Michael Hinze: A novel W1, approach to shape optimisation with Lipschitz domains. arXiv:2103.13857 (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 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 ComputationalPhysics 440 (2021) https://doi.org/10.1016/j.jcp.2021.110411  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. arXiv:2003.14380 (2020)

N. Kühl, M. Hinze, T. Rung: Cahn-Hilliard Navier-Stokes Simulations for Marine Free-Surface Flows. arXiv:2002.04885 (2020)

M. Hinze, D. Korolev: Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors. arXiv:2002.04288 (2020) (accepted for publication)

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.

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 C1nonlinearity. arXiv:1902.09639, to appear in Control & Cybernetics.

 

  • Optimal control of partial differential equations
  • Optimal control approaches to inverse problems
  • Feedback controller design for nonlinear pde systems
  • Real time control of systems governed by pdes
  • Model reduction techniques in simulation and control of complex physical systems
  • Development of Newton- and SQP-type algorithms for large scale optimization problems
  • Numerical analysis of discretized control problems
  • DFG SPP 1962, Projekt 8 (A Non-Smooth Phase-Field Approach to Shape Optimization with Instationary Fluid Flow), together with Michael Hintermüller, since 2020
  • BMBF Verbundprojekt Pasirom (Parallele Simulation und robuste Optimierung von elektromechanischen Energiewandlern mit Unsicherheiten), Bereich Optimierung und Regelung, since 2018
  • DFG TRR 181, Project M6 Techniques for atmosphere-ocean wave coupling, since 2016
  • DFG Schwerpunkt Programm 1962, Project Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System with Variable Fluid Densities, since 2016
  • German Climate Modeling Initiative PALMOD, WG 4.3: Strategies for parallelization in time and model order reduction , since 2016
  • Lothar Collatz Center for Computing in Science (UHH), Coordinator (2010-2019)
  • Lothar Collatz Graduate School (UHH), Director (2013-2019)
  • DFG Schwerpunkt Programm 1506 (DFG Priority Programme 1506) SPP 1506 Transport Processes at Fluidic Interfaces , Project Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models, together with Michael Hintermüller (2013-2016)
  • BMBF: Mathematik für Innovationen in Industrie und Dienstleistungen, TP Modellreduktion, in Verbundprojekt Simurom (Simulation und robuste Optimierung von elektromechanischen Energiewandlern unter Berücksichtigung von Unsicherheiten), Partner: Sebastian Schöps (Coordinator), TU Darmstadt, Andreas Bartel, Wuppertal, Stefan Ulbrich, TU Darmstadt, Robert Bosch GmbH und CST Computer Simulation Technology Darmstadt. (2013-2016).
  • DFG Graduiertenkolleg 1286 (Maßgeschneiderte Metall-Halbleiter-Hybridsysteme), Bereich Development of Simulation Tools for Ferromagnetic Structures and Hybrid Systems (2010-2016)
  • BMBF: Mathematik für Innovationen in Industrie und Dienstleistungen, TP1 : Modellreduktion zur gekoppelten Simulation von ICs, in Verbundprojekt SyreNe (Systemreduktion für IC Design in der Nanoelektronik), Partner: Peter Benner (Coordinator), TU Chemnitz, Matthias Bollhöfer, TU Braunschweig, Heike Faßbender, TU Braunschweig, Tatjana Stykel, TU Berlin, Patrick Lang, Fraunhofer ITWM Kaiserslautern. 2007-2010.
  • Sonderforschungsbereich (Collaborative Research Grant) Sfb 609 Elektromagnetische Strömungsbeeinflussung in Metallurgie, Kristallzüchtung und Elektrochemie, TP A4 Kontrolle leitfähiger Fluide mit Methoden der mathematischen Optimierung, 2001-2008
  • Sonderforschungsbereich (Collaborative Research Grant) Sfb 557 Beeinflussung komplexer turbulenter Scherströmungen, TP C3 Entwicklung von Feedback-Controllern zur Beeinflussung abgelöster Strömungen (2001-2009)
  • Universitärer Forschungsschwerpunkt 8 (Research Focus 8, TU Berlin) UF 8 (Report in ps) Kontrolle turbulenter Scherströmungen - Optimale Steuerung von Gleichungen der Fluiddynamik, till 1998
  • Universitärer Forschungsschwerpunkt 4 (Research Focus 4, TU Berlin) UF 4 Simulation von komplexen energiewandelnden Systemen (1998-2002)