B04: Linear solvers exploiting saddle point structure for port-Hamiltonian systems
Principal investigators:
Prof. Dr. Matthias Bolten; Dr. Paola Ferrari
Project description:
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.