Optimization of Complex Systems

Optimization of Complex Systems

M. Hinze

Contact

Research topics

  • PDE constrained optimization
  • Inverse problems
  • Shape- & topology optimization
  • Feedback control of nonlinear pde systems
  • Data-driven model reduction

Members of Working Group

Former Members

Dr. Philip Herbert (University of Sussex)
Dr. Evelyn Herberg (University of Heidelberg)
Dr. Denis Korolev (Weierstraß Institut Berlin)
JProf. Dr. Carmen Gräßle (TU Braunschweig)
Dr. Ahmad Ahmad Ali (Uni Chemnitz)
Dr. Heiko Kröner
Dr. Quyen Tran (Uni Göttingen)
Dr. Ulrich Matthes (Uni Hamburg)
Dr. Henrik Schumacher (RWTH Aachen)
Dr. Marion Dziwnik (Uni Hamburg)
Prof. Dr. Alessandro Alla (Uni Venice),
Dr. Julia Sternberg (Uni Hamburg),
Prof. Dr. Wei Gong (Chinese Academy of Science),
Prof. Dr. Zhaojie Zhou (Shendong China),
Dr. Kasra Mohaghegh (Leuven)

Konstantin Afanasiev (TU Berlin),
Guido Büttner (TU Berlin),
Stefan Ziegenbalg (TU Dresden),
Ulrich Matthes (TU Dresden),
Andreas Günther (Hamburg),
Claudia Denecke (Hamburg),
Henrik Veelken (Hamburg)
Claas Abert (Hamburg)
Morten Vierling (Hamburg)
Jonas Holländer (Hamburg)
Janja Nahrstaedt (Hamburg)
Fatemeh Zenderouh Kermani (Hamburg)
Thorben Vehling (Hamburg)
Nikolaus von Daniels (Hamburg),
Ahmad Ahmad Ali (Uni Hamburg),
Anne Gerdes (TU Harburg)


Teaching Topics

  • Basic courses in analysis, linear algebra, optimization, and numerics

  • Nonlinear programming

  • PDE constrained optimization

  • Mathematics of model order reduction

  • Mathematics in engineering applications

Introductory videos to POD model order reduction:

Pilsen 2015:

Durham 2017:


Projects with funding

Fluid dynamic shape optimization with phase fields and Lipschitz methods

DFG Einzelantrag

DFG

2024-2026

Interdisziplinärer Hub zur Vermittlung von Kompetenzen in Entwicklung, Umgang und Anwendung von erklärbaren, vertrauenswürdigen, resilienten und sicheren KI-Verfahren

BMBF Verbundprojekt

BMBF

2021-2025

Daten- und Simulationsgestütze Exploration, Analyse und Behandlung von Gefäßverengungen zur Prävention von ischämischen Schlaganfällen

BMBF Verbundprojekt

BMBF

2020-2023

Techniques for atmosphere-ocean wave coupling

DFG Transregio 181 Energy transfers in atmosphere and ocean

DFG

2016-2020

Simulation and Control of a nonsmooth Cahn--Hilliard Navier-Stokes System with Variable Fluid Density

DFG Priority Programm SPP 1962 Non-smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization

DFG

2016-2019

Strategies for parallelization in time and model order reduction

German Climate Modeling Initiative PALMOD, WG 4.3

BMBF

2015-2019

Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models

DFG Priority Project SPP 1506 Transport Processes at Fluidic Interfaces

DFG

2013-2016

MoreSim4Nano - Modellreduktion zur schnellen Simulation neuer Halbleiterstrukturen in der Nanotechnologie und Mikrosystemtechnik

BMBF Verbundprojekt

BMBF

2010-2013

Hierarchical solution concepts for flow control problems

DFG Priority Programm SPP 1253 Optimization with Partial Differential Equations

DFG

2006-2012

Structure exploiting Galerkin schemes for optimization problems with pde constraints

DFG Priority Programm SPP 1253 Optimization with Partial Differential Equations

DFG

2006-2012

System Reduction in Nano Electronics (SyReNe)

BMBF Verbundprojekt

BMBF

2007-2010

Kontrolle leitfähiger Fluide mit Methoden der mathematischen Optimierung.

Collaborative Research Grant SFB 609 Elektromagnetische Strömungsbeeinflussung in Metallurgie, Kristallzüchtung und Elektrochemie

DFG

2001-2008

Entwicklung von Feedback-Controllern zur Beeinflussung abgelöster Strömungen

Collaborative Research Grant SFB 557 Beeinflussung komplexer turbulenter Scherströmungen

DFG

1998-2000

Publications

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