Fallzahl Standort Koblenz: 2 (Warnstufe Gelb bis 30.04.2021) Maßnahmenkonzept

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Forschung

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

Klaus Deckelnick, Philip J. Herbert, Michael Hinze.  A novel W1, approach to shape optimisation with Lipschitz domains. arXiv:2103.13857

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.

Niklas Kühl, Jörn Kröger, Martin Siebenborn, Michael Hinze, Thomas Rung: Adjoint Complement to the Volume-of-Fluid Method for Immiscible Flows. arXiv:2009.03957 (2020)

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

Michael Hinze, Denis Korolev: A space-time certified reduced basis method for quasilinear parabolic partial differential equations. arXiv:2004.00548 (2020), accepted for publication in ACOM.

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: Iterated total variation regularization with finite element methods for reconstruction the source term in elliptic systems. arXiv:1901.10278 (2019), to appear in Inverse Problems

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)