Subspace-valued functions arise in a wide range of problems, including parametric reduced order modeling (PROM), parameter reduction, and subspace tracking. In PROM, each …
M Oulghelou, A Ammar, R Ayoub - Computer Methods in Applied …, 2024 - Elsevier
Projection-based reduced-order models (ROMs) play a crucial role in simplifying the complex dynamics of fluid systems. Such models are achieved by projecting the Navier …
D Goutaudier, F Nobile… - International Journal for …, 2023 - Wiley Online Library
The proper orthogonal decomposition (POD) is successfully employed in a variety of projection‐based methods for parametric model order reduction (pMOR) of large dynamical …
A El Omari, M El Khlifi, L Cordier - Journal of Computational Physics, 2025 - Elsevier
Many engineering problems are parameterized. In order to minimize the computational cost necessary to evaluate a new operating point, the interpolation of singular matrices …
J Berger, C Allery, A Machard - Energy and Buildings, 2022 - Elsevier
Within the environmental context, numerical modeling is a promising approach to assess the energy efficiency of building. Resilient buildings need to be designed, capable of adapting …
R Ayoub, M Oulghelou, PJ Schmid - arXiv preprint arXiv:2411.08071, 2024 - arxiv.org
Model reduction is a key technology for large-scale physical systems in science and engineering, as it brings behavior expressed in many degrees of freedom to a more …
M Oulghelou, A Ammar, R Ayoub - Available at SSRN 4446495, 2023 - papers.ssrn.com
Generally, reduced order models of fluid flows are obtained by projecting the Navier-Stokes equations onto a reduced subspace spanned by vector functions that carry the meaningful …