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20202024
most citedAn optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations

17 citations · 37 across the 7 of their papers we have counts for

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7 papers · 1 filter

math.NA2024

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

Ivan Prusak, Davide Torlo, Monica Nonino +1

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 dominate…

math.NA2024★ 7 cited

Calibration-Based ALE Model Order Reduction for Hyperbolic Problems with Self-Similar Travelling Discontinuities

Monica Nonino, Davide Torlo

We propose a novel Model Order Reduction framework that is able to handle solutions of hyperbolic problems characterized by multiple travelling discontinuities. By means of an opti…

math.NA2024

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

Ivan Prusak, Davide Torlo, Monica Nonino +1

Using Domain Decomposition (DD) algorithm on non--overlapping domains, we compare couplings of different discretisation models, such as Finite Element (FEM) and Reduced Order (ROM)…

math.NA2023

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

Francesco Romor, Davide Torlo, Gianluigi Rozza

Friedrichs' systems (FS) are symmetric positive linear systems of first-order partial differential equations (PDEs), which provide a unified framework for describing various ellipt…

math.NA2023★ 12 cited

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

Ivan Prusak, Davide Torlo, Monica Nonino +1

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-base…

math.NA2022★ 17 cited

An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations

Ivan Prusak, Monica Nonino, Davide Torlo +2

The aim of this work is to present a model reduction technique in the framework of optimal control problems for partial differential equations. We combine two approaches used for r…

math.NA2020★ 1 cited

Model Reduction for Advection Dominated Hyperbolic Problems in an ALE Framework: Offline and Online Phases

Davide Torlo

Model order reduction (MOR) techniques have always struggled in compressing information for advection dominated problems. Their linear nature does not allow to accelerate the slow…