DAAD Indo-German Partnership in Higher Education Program (2016-2020)
Partners: FAU Erlangen-Nürnberg, IIT Delhi
Adaptive Wavelet-Methods for Optimal Control of Quasilinear Balance Laws on Networks


The project concerns theoretical aspects of Wavelet-Galerkin approximations in the context of controllability, stabilizability as well as optimal control for dynamics in networks with applications in energy networks, structural mechanics, fluid mechanics, medicine and traffic networks. Similar to moment theory that has been developed earlier and depends on the Eigen elements of the underlying differential operators, such methods for networks provide a challenging question in particular from the multi-resolution point of view. The theoretical contributions will be complemented via a numerical realization of the wavelet-based simulations. More information about DAAD DIP 2016

FAU Coordinator: Prof. Dr. G. Leugering, IIT Coordinator: Prof. Dr. M. Mehra

DFG Schwerpunktprogramm 1679

Dynamische Simulation vernetzter Feststoffprozesse
Modellierung, Simulation und Optimierung von Prozessketten

SPP1679: DynSim-FP

PI: Prof. Dr. G. Leugering, Coordinator: Opens external link in new windowProf. Dr. Stefan Heinrich (Hamburg)

Optimization of iron oxide Pigments (2012-2017)

The dependency of the optical properties of a pigment film and the shape or shape distribution of the pigment is studied within this project. Further, this dependency is used to identify regions in parameterized shape space which will lead to better color values of the pigment.


The interaction of electromagnetic waves and material is mathematically described by Maxwell's equations. Under the assumption of a time-harmonic incident light - which holds in the studied regime - this equations can be transformed to the well known curl-curl formulation of Maxwell's equation.
This complex vector valued equation can be solved numerically in 3D with the Nédélec FEM but, due to the high resolution one needs, it is only possible for single particles or small clusters of particles. The size of the pigment particles is in the sub micron range and the wavelength range we are interested in is 400 to 700 nm. In order to derive optical properties of a film with randomly oriented particles from single particle simulations we use a model which lies in-between the 2-Flux model derived by Kubelka and Munk and the radiative transfer equation.
With this method we are able to compute the reflectance spectra of a pigment color film with a known particle size distribution. These computed spectra show a good agreement with experimental data.
The project is funded by the DFG and the Opens external link in new windowLANXESS GmbH

Prof. Dr. Günter Leugering (Erlangen), Opens external link in new windowProf. Dr.-Ing. Wolfgang Peukert (Erlangen), Opens external link in new windowProf. Dr. Ulf Peschel (Jena), Opens external link in new windowProf. Dr. Robin N. Klupp Taylor (Erlangen), Dr. Lukas Pflug (Erlangen)