Energy-based model order reduction for linear stochastic Galerkin systems of second order
Numerical Analysis
2023-07-11 v1 Numerical Analysis
Abstract
We consider a second-order linear system of ordinary differential equations (ODEs) including random variables. A stochastic Galerkin method yields a larger deterministic linear system of ODEs. We apply a model order reduction (MOR) of this high-dimensional linear dynamical system, where its internal energy represents a quadratic quantity of interest. We investigate the properties of this MOR with respect to stability, passivity, and energy dissipation. Numerical results are shown for a system modelling a mass-spring-damper configuration.
Cite
@article{arxiv.2307.04519,
title = {Energy-based model order reduction for linear stochastic Galerkin systems of second order},
author = {Roland Pulch},
journal= {arXiv preprint arXiv:2307.04519},
year = {2023}
}
Comments
11 pages, 7 figures, submitted to: Proceedings in Applied Mathematics and Mechanics 2023