B05: Exploiting coupling and Dirac structure in numerical linear algebra kernels

Principal investigators:

Prof. Dr. Andreas Frommer; Priv.-Doz. Dr. Karsten Kahl

Project description:  

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.

Researchers:  

M.Sc. Lea Meissner, Dr. Malak Diab 

Publications of project B05: