Exploiting coupling and Dirac structure in numerical linear algebra kernels (B05)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 531152215

To preserve structure-induced properties of port-Hamiltonian systems like dissipativity or energy conservation, time integration methods must necessarily be implicit. The project develops iterative linear algebra kernels for the solution of the arising linear and nonlinear systems of equations which for the first time preserve these properties already at the level of each iterate and, in addition, allow for increased efficiency. Moreover, we explore the potential offered by the Dirac structure via Hodge-Laplace matrices to sidestep the inherent indefiniteness of the respective linear systems.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1701: Port-Hamiltonian Systems
• Applicant Institution: Bergische Universität Wuppertal
• Project Heads: Professor Dr. Andreas Frommer; Dr. Karsten Kahl