SE Ahmed, P Stinis - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Projection-based reduced order models (PROMs) have shown promise in representing the behavior of multiscale systems using a small set of generalized (or latent) variables. Despite …
IG Farcas, RP Gundevia, R Munipalli, KE Willcox - AIAA Journal, 2024 - arc.aiaa.org
This paper focuses on the construction of accurate and predictive data-driven reduced models of large-scale numerical simulations with complex dynamics and sparse training …
This paper formulates, analyzes and demonstrates numerically a method for the explicit partitioned solution of coupled interface problems involving combinations of projection …
R Singh, WIT Uy, B Peherstorfer - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
Online adaptive model reduction efficiently reduces numerical models of transport- dominated problems by updating reduced spaces over time, which leads to nonlinear …
This work introduces reduced models based on Continuous Low Rank Adaptation (CoLoRA) that pre-train neural networks for a given partial differential equation and then …
Many engineering applications rely on the evaluation of expensive, non-linear high- dimensional functions. In this paper, we propose the RONAALP algorithm (Reduced Order …
V Zucatti, MJ Zahr - … Journal for Numerical Methods in Fluids, 2024 - Wiley Online Library
The vast majority of reduced‐order models (ROMs) first obtain a low dimensional representation of the problem from high‐dimensional model (HDM) training data which is …
This paper presents and evaluates a framework for the coupling of subdomain-local projection-based reduced order models (PROMs) using the Schwarz alternating method …
We present a new framework towards the objective of learning coarse-grained models based on the maximum entropy principle. We show that existing methods for assigning …