Adaptive dynamic multiscale approaches (B01)

• Subject Area: Mathematics
• Term: since 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 239904186

The goal of this project is to develop a holistic dynamic multi-scale ansatz for the numerical solution of compressible instationary Euler equations with uncertain data on network structures. We will use these methods for uncertainty quantification and adaptive multi-level probabilistic constrained optimization on flow networks. For this, we combine adaptive stochastic collocation methods with kernel density estimators in an adjoint-based gradient method.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 154: Mathematical modelling, simulation and optimization using the example of gas networks
• Applicant Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg
• Project Heads: Dr. Pia Domschke, until 6/2022; Professor Dr. Jens Lang