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Research Group "Nonlinear Optimization and Inverse Problems"

Head:
Dietmar Hömberg

Coworkers:
Thomas Arnold, Ingo Bremer, Johannes Elschner, René Henrion, Guanghui Hu, Klaus Krumbiegel, Chantal Landry, Andris Möller, Thomas Petzold, Andreas Rathsfeld, Gunther Schmidt, Kevin Sturm, Nataliya Togobytska, Wolf Weiss

Secretary:
Anke Giese

Fellowship:
Santiago Fortes


The group is concerned with the optimization of structures and processes and their interactions. Research tasks range from theoretical questions regarding modelling, analysis, and numerics of these optimization problems to the development and implementation of efficient numerical methods and the solution of application problems together with partners from industry and the engineering sciences. Regarding application the main topics are

• Simulation and optimization of diffractive structure in micro-optics
• Optimization of production processes

From mathematical point of view these are problems of shape optimization and optimal control as well as inverse problems for Maxwell's equations, thermo-mechanics and multi-body systems. The research group cultivates long-term co-operations with industrial partners, which are also fostered by the maintenance and further development of their software products DiPoG and WIAS-SHarP.

We were co-organizer of the 25th IFIP TC7 Conference on System Modeling and Optimization.

The research group takes part in the following main application areas:

• Nano- and optoelectronics
• Optimization and control of technological processes
• Phase transitions and multi-functional materials
• Random phenomena in nature and economy