This project develops and analyzes adaptive methods for solving gas transport problems, including integer decisions, to global optimality. This includes the derivation of convex relaxations of instationary problems, based on Riemann invariants or first-discretize-then-optimize models. Moreover, starting with the stationary case, the mixing of different gases is incorporated, e.g., of hydrogen into natural gas, for gas transport as well as topology optimization. Acyclicity of the flows can be exploited in both contexts.
DFG Programme
CRC/Transregios
