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20202026
most citedA novel Large Eddy Simulation model for the Quasi-Geostrophic Equations in a Finite Volume setting

2 citations · 9 across the 21 of their papers we have counts for

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25 papers · 1 filter

math.NA2026

An isotropic recovery-based error estimator algorithm for mesh adaptation in a finite volume environment with application to atmospheric flows

Lander Besabe, Michele Girfoglio, Simona Perotto +2

We develop an Isotropic Recovery-based Error Estimator (IREE) to drive mesh adaptation within a finite volume framework. Recovery-based error estimators are widely used in practice…

math.NA2026

A Quadratic Order Reduction -- Gaussian Process Ordinary Differential Equation framework for the inference of Large Continuous Dynamical Systems

Guglielmo Padula, Michele Girfoglio, Gianluigi Rozza

Forecasting the evolution of complex dynamical systems remains a fundamentally challenging task, primarily due to pronounced nonlinear interactions, high-dimensional state spaces,…

math.NA2025

A Review of Equation-Based and Data-Driven Reduced Order Models featuring a Hybrid cardiovascular application

Pierfrancesco Siena, Pasquale Claudio Africa, Michele Girfoglio +1

Cardiovascular diseases are a leading cause of death in the world, driving the development of patient-specific and benchmark models for blood flow analysis. This chapter provides a…

math.NA2025

Randomized Proper Orthogonal Decomposition for data-driven reduced order modeling of a two-layer quasi-geostrophic ocean model

Lander Besabe, Michele Girfoglio, Annalisa Quaini +1

The two-layer quasi-geostrophic equations (2QGE) serve as a simplified model for simulating wind-driven, stratified ocean flows. However, their numerical simulation remains computa…

math.NA2025

Combining Extended Convolutional Autoencoders and Reservoir Computing for Accurate Reduced-Order Predictions of Atmospheric Flows

Arash Hajisharifi, Michele Girfoglio, Annalisa Quaini +1

Forecasting atmospheric flows with traditional discretization methods, also called full order methods (e.g., finite element methods or finite volume methods), is computationally ex…

math.NA2025

A hybrid Reduced Order Model to enforce outflow pressure boundary conditions in computational haemodynamics

Pierfrancesco Siena, Pasquale Claudio Africa, Michele Girfoglio +1

This paper deals with the development of a Reduced-Order Model (ROM) to investigate haemodynamics in cardiovascular applications. It employs the use of Proper Orthogonal Decomposit…