A survey of projection-based model reduction methods for parametric dynamical systems

P Benner, S Gugercin, K Willcox - SIAM review, 2015 - SIAM
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying
a wide range of complex physical phenomena; however, the inherent large-scale nature of …

A deep learning enabler for nonintrusive reduced order modeling of fluid flows

S Pawar, SM Rahman, H Vaddireddy, O San… - Physics of …, 2019 - pubs.aip.org
In this paper, we introduce a modular deep neural network (DNN) framework for data-driven
reduced order modeling of dynamical systems relevant to fluid flows. We propose various …

-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems

P Benner, P Goyal, S Gugercin - SIAM Journal on Matrix Analysis and …, 2018 - SIAM
We investigate the optimal model reduction problem for large-scale quadratic-bilinear (QB)
control systems. Our contributions are threefold. First, we discuss the variational analysis …

A DeepONet multi-fidelity approach for residual learning in reduced order modeling

N Demo, M Tezzele, G Rozza - Advanced Modeling and Simulation in …, 2023 - Springer
In the present work, we introduce a novel approach to enhance the precision of reduced
order models by exploiting a multi-fidelity perspective and DeepONets. Reduced models …

Active manifold and model-order reduction to accelerate multidisciplinary analysis and optimization

G Boncoraglio, C Farhat - AIAA Journal, 2021 - arc.aiaa.org
A computational framework is proposed for efficiently solving multidisciplinary analysis and
optimization (MDAO) problems in a relatively high-dimensional design parameter space. It …

Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty

P Chen, U Villa, O Ghattas - Journal of Computational Physics, 2019 - Elsevier
In this work we develop a scalable computational framework for the solution of PDE-
constrained optimal control problems under high-dimensional uncertainty. Specifically, we …

POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations

M Strazzullo, F Ballarin, G Rozza - Journal of Numerical Mathematics, 2022 - degruyter.com
In the present paper we propose reduced order methods as a reliable strategy to efficiently
solve parametrized optimal control problems governed by shallow waters equations in a …

Fast active thermal cloaking through PDE-constrained optimization and reduced-order modelling

C Sinigaglia, DE Quadrelli… - Proceedings of the …, 2022 - royalsocietypublishing.org
In this paper, we show how to efficiently achieve thermal cloaking from a computational
standpoint in several virtual scenarios by controlling a distribution of active heat sources. We …

Sorotoki: A Matlab toolkit for design, modeling, and control of soft robots

BJ Caasenbrood, AY Pogromsky, H Nijmeijer - IEEE Access, 2024 - ieeexplore.ieee.org
In this paper, we present Sorotoki, an open-source toolkit in MATLAB that offers a
comprehensive suite of tools for the design, modeling, and control of soft robots. The …

Incremental proper orthogonal decomposition for PDE simulation data

H Fareed, JR Singler, Y Zhang, J Shen - Computers & Mathematics with …, 2018 - Elsevier
We propose an incremental algorithm to compute the proper orthogonal decomposition
(POD) of simulation data for a partial differential equation. Specifically, we modify an …