5 papers · 1 filter
Model order reduction via Lie groups
Yannik P. Wotte, Patrick Buchfink, Silke Glas +2
Lie groups and their actions are ubiquitous in the description of physical systems, and we explore implications in the setting of model order reduction (MOR). We present a novel fr…
Structure-Preserving Generalized Manifold Galerkin Reduction for Port-Hamiltonian Systems
Silke Glas, Hongliang Mu
This paper considers structure-preserving model order reduction (MOR) techniques for port-Hamiltonian (pH) systems, which are typically derived from energy-based modeling. To keep…
Energy-stable Port-Hamiltonian Systems
Patrick Buchfink, Silke Glas, Hans Zwart
We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (espH) systems. The idea is to extend the known energy-stable systems with an in…
Leveraging time and parameters for nonlinear model reduction methods
Silke Glas, Benjamin Unger
In this paper, we consider model order reduction (MOR) methods for problems with slowly decaying Kolmogorov -widths as, e.g., certain wave-like or transport-dominated problems.…
How to reveal the rank of a matrix?
Anil Damle, Silke Glas, Alex Townsend +1
We study algorithms called rank-revealers that reveal a matrix's rank structure. Such algorithms form a fundamental component in matrix compression, singular value estimation, and…