DAAD Indo-German Partnership in Higher Education Program
DAAD Indo-German Partnership in Higher Education Program
DAAD Indo-German Partnership in Higher Education Program (2016-2020)
Multiscale Modeling, Simulation and Optimization for Energy, Advances Materials and Manufacturing
Partners: FAU Erlangen-Nürnberg, IIT Delhi
Subproject: Adaptive Wavelet-Methods for Optimal Control of Quasilinear Balance Laws on Networks
Details
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.