Prof. Michael Hintermüller

Research Interests

  • Non-linear and non-smooth optimization
  • Control of partial differential equations
  • Algorithms for nonlinear programming with noisy data
  • Numerical algorithms for inverse problems
  • Shape optimization and level set methods
  • Semismooth Newton methods
  • MPECs in function spaces
  • Image processing

Current Projects

The Berlin Mathematics Research Center MATH+ The Berlin Mathematics Research Center
  Decision-making for energy network dynamics (» AA4-7)
Project Head: M. Hintermüller, F. Hante (HU Berlin), S. Pokutta (ZIB / TU Berlin)
June 1, 2021 - May 31, 2024
  Robust multilevel training for artificial neural networks (» EF1-15)
Project Head: M. Hintermüller, K. Papafitsoros, Carsten Graeser (FU)
April 1, 2022 - March 31, 2025
  Data-driven robust model predictive control under distribution shift (» EF1-17)
Project Head: M. Hintermüller, J. Zhu
January 1, 2022 - December 31, 2023
  Integrated learning and variational methods for quantitative dynamic imaging (» EF3-12)
Project Head: M. Hintermüller, C. Kolbitsch (PTB), T. Schäffter (PTB / TU Berlin)
January 1, 2022 - December 31, 2023
 
SFB/TRR 154 Mathematical Modelling, Simulation and Optimization Using the Example of Gas Networks
  Multicriteria optimization subject to equilibrium constraints at the example of gas markets (» B02)
Project Head: M. Hintermüller
July 1, 2022 - June 30, 2026
  Stochastic gradient methods for almost sure state constraints for optimal control of gas flow under uncertainty (» C08 )
Project Head: M. Hintermüller
July 1, 2022 - June 30, 2026
 
SPP 1962 Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization
  Coordination Funds (» P07)
Project Head: M. Hintermüller
April 1, 2020 - March 31, 2023
  A non-smooth phase-field approach to shape optimization with instationary fluid flow (» P08)
Project Head: M. Hintermüller, M. Hinze (Uni Hamburg)
January 1, 2022 - December 31, 2024
  Constrained mean field games: Analysis and algorithms (» P09)
Project Head: M. Hintermüller, T. Surowiec (U Marburg)
October 26, 2020 - October 25, 2023
  A unified approach to optimal uncertainty quantification and risk-averse optimization (» P10)
Project Head: M. Hintermüller
April 1, 2020 - March 31, 2023
 
ML4Sim Leibniz Collaborative Excellence
  ML4Sim: Machine Learning for Simulation Intelligence in Composite Process Design (» more)
Project Head: M. Hintermüller, C. Scheffler (IPF Dresden)
January 1, 2022 - December 31, 2024

Former Projects

  • Multicriteria optimization subject to equilibrium constraints at the example of gas markets (TRR154 B02), funding: DFG)
  • Equilibria for Energy Markets with Transport (Math+ AA4-3, funding: DFG)
  • Optimal transport for imaging (Math+ EF3-3, funding: DFG)
  • Direct reconstruction of biophysical parameters using dictionary learning and robust regularization (Math+ EF3-5, funding: DFG)
  • Optimal Shape Design of Air Ducts in Combustion Engines (Romsoc, funding: EU, MSCA)
  • Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models (SPP1506 project 15, funding: DFG)
  • Mathematical Modeling, Analysis, and Optimization of Strained Germanium-Microbridges (ECMath Project OT1, funding: Einstein Foundation)
  • Optimal design and control of optofluidic solar steerers and concentrators (ECMath Project SE5, funding: Einstein Foundation)
  • Optimal Network Sensor Placement for Energy Efficiency (ECMath Project SE15, funding: Einstein Foundation)
  • Free Boundary Problems and Level Set Methods / FREELEVEL (MATHEON Project A-AP24 / SFB MOBIS subproject funding: DFG / FWF)
  • Modeling and optimization of phase transitions in steel (2003-2014, MATHEON Project C11, funding: DFG)
  • Optimal control of phase separation phenomena (2009-2014, MATHEON Project C28. funding: DFG)
  • MPECs in Function Space (SPP1253 project, funding: DFG)
  • Interfaces and Free Boundaries (2006-2013, START Project, funding: FWF)
  • Numerical minimization of nonsmooth energy functionals in multiphase materials (2010-2012, MATHEON Project C31, funding: DFG)
  • Adaptive Finite Element Methods in Constrained Optimal Control (NSF Project, funding: National Science Foundation (USA))
  • Efficient Solution Techniques For Constrained Heat Phenomena (funding: FWF)