Linear solvers exploiting saddle point structure for port-Hamiltonian systems (B04)

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

Saddle point structures arise in the time integration of port-Hamiltonian systems through the coupling of different subsystems. The project utilizes this structure to develop particularly efficient linear solvers, which are especially important for simulations in high-performance computing. One focus is on multigrid methods for port-Hamiltonian systems of partial differential equations. For structured matrices that occur in discretizations on regular meshes, we strive to obtain statements about when the methods are fundamentally best possible.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1701: Port-Hamiltonian Systems
• Applicant Institution: Bergische Universität Wuppertal
• Project Heads: Professor Dr. Matthias Bolten; Dr. Paola Ferrari