[HTML][HTML] An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition

M Discacciati, BJ Evans, M Giacomini - Computer Methods in Applied …, 2024 - Elsevier
A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an
overlapping domain decomposition (DD) method, is proposed to efficiently construct …

A non-overlapping optimization-based domain decomposition approach to component-based model reduction of incompressible flows

T Taddei, X Xu, L Zhang - Journal of Computational Physics, 2024 - Elsevier
We present a component-based model order reduction procedure to efficiently and
accurately solve parameterized incompressible flows governed by the Navier-Stokes …

[HTML][HTML] Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

N Discacciati, JS Hesthaven - Computer Methods in Applied Mechanics …, 2024 - Elsevier
We propose a local, non-intrusive model order reduction technique to accurately
approximate the solution of coupled multi-component parametrized systems governed by …

Friedrichs' systems discretized with the Discontinuous Galerkin method: domain decomposable model order reduction and Graph Neural Networks approximating …

F Romor, D Torlo, G Rozza - arXiv preprint arXiv:2308.03378, 2023 - arxiv.org
Friedrichs' systems (FS) are symmetric positive linear systems of first-order partial differential
equations (PDEs), which provide a unified framework for describing various elliptic …

An optimisation–based domain–decomposition reduced order model for parameter–dependent non–stationary fluid dynamics problems

I Prusak, D Torlo, M Nonino, G Rozza - Computers & Mathematics with …, 2024 - Elsevier
In this work, we address parametric non–stationary fluid dynamics problems within a model
order reduction setting based on domain decomposition. Starting from the optimisation …

The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models

CR Wentland, F Rizzi, J Barnett, I Tezaur - arXiv preprint arXiv:2410.04668, 2024 - arxiv.org
This paper presents and evaluates a framework for the coupling of subdomain-local
projection-based reduced order models (PROMs) using the Schwarz alternating method …

Domain Decomposition-based coupling of Operator Inference reduced order models via the Schwarz alternating method

I Moore, C Wentland, A Gruber, I Tezaur - arXiv preprint arXiv:2409.01433, 2024 - arxiv.org
This paper presents and evaluates an approach for coupling together subdomain-local
reduced order models (ROMs) constructed via non-intrusive operator inference (OpInf) with …

Projection-based Reduced Order Modelling for Unsteady Parametrized Optimal Control Problems in 3D Cardiovascular Flows

S Rathore, PC Africa, F Ballarin, F Pichi… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper presents a projection-based reduced order modelling (ROM) framework for
unsteady parametrized optimal control problems (OCP $ _ {(\mu)} $ s) arising from …

Local reduced subspaces of subchannel‐inspired subdomains

S Ruan, J Yanez, AG Class - International Journal for …, 2024 - Wiley Online Library
In this article, we study an update of the traditional subchannel approximation utilizing local
reduced order bases. Through employing the symmetries and periodicity of a 7‐pin bundle …

Optimisation--Based Coupling of Finite Element Model and Reduced Order Model for Computational Fluid Dynamics

I Prusak, D Torlo, M Nonino, G Rozza - arXiv preprint arXiv:2402.10570, 2024 - arxiv.org
With the increased interest in complex problems, such as multiphysics and multiscale
models, as well as real-time computations, there is a strong need for domain-decomposition …