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 …

A brief review of Reduced Order Models using intrusive and non-intrusive techniques

G Padula, M Girfoglio, G Rozza - arXiv preprint arXiv:2406.00559, 2024 - arxiv.org
Reduced Order Models (ROMs) have gained a great attention by the scientific community in
the last years thanks to their capabilities of significantly reducing the computational cost of …

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 …

An optimization-based coupling of reduced order models with efficient reduced adjoint basis generation approach

E Hawkins, P Kuberry, P Bochev - arXiv preprint arXiv:2408.14450, 2024 - arxiv.org
Optimization-based coupling (OBC) is an attractive alternative to traditional Lagrange
multiplier approaches in multiple modeling and simulation contexts. However, application of …

A time-adaptive algorithm for pressure dominated flows: a heuristic estimator

I Prusak, D Torlo, M Nonino, G Rozza - arXiv preprint arXiv:2407.00428, 2024 - arxiv.org
This work aims to introduce a heuristic timestep-adaptive algorithm for Computational Fluid
Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems where the flow is dominated …