7 papers
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…
Deep Invertible Autoencoders for Dimensionality Reduction of Dynamical Systems
Nicolò Botteghi, Silke Glas, Christoph Brune
Constructing reduced-order models (ROMs) capable of efficiently predicting the evolution of high-dimensional, parametric systems is crucial in many applications in engineering and…
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…
Fast prediction of plasma instabilities with sparse-grid-accelerated optimized dynamic mode decomposition
Kevin Gill, Ionut-Gabriel Farcas, Silke Glas +1
Parametric data-driven reduced-order models (ROMs) that embed dependencies in a large number of input parameters are crucial for enabling many-query tasks in large-scale problems.…
Symplectic model order reduction of port-Hamiltonian systems
Silke Glas, Mir Mamunuzzaman, Hongliang Mu +1
This work proposes a novel structure-preserving model order reduction (MOR) method for linear, time-invariant port-Hamiltonian (pH) systems. Our goal is to construct a reduced orde…
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…