221 citations · 1.1k across the 59 of their papers we have counts for
6 papers · 2 filters
ROM for Viscous, Incompressible Flow in Polygons -- exponential -width bounds and convergence rate
Francesco Romor, Federico Pichi, Giovanni Stabile +2
We demonstrate exponential convergence of Reduced Order Model (ROM) approximations for mixed boundary value problems of the stationary, incompressible Navier-Stokes equations in pl…
Coupling Physics Informed Neural Networks with External Solvers
Rahul Halder, Giovanni Stabile, Gianluigi Rozza
The current work aims to incorporate physics-based loss in Physics Informed Neural Network (PINN) directly using the numerical residual obtained from the governing equation in any…
A new data-driven energy-stable Evolve-Filter-Relax model for turbulent flow simulation
Anna Ivagnes, Toby van Gastelen, Syver Døving Agdestein +3
We present a novel approach to define the filter and relax steps in the evolve-filter-relax (EFR) framework for simulating turbulent flows. The EFR main advantages are its ease of…
Exact operator inference with minimal data
Henrik Rosenberger, Benjamin Sanderse, Giovanni Stabile
This work introduces a novel method to generate snapshot data for operator inference that guarantees the exact reconstruction of intrusive projection-based reduced-order models (RO…
Data-driven Closure Strategies for Parametrized Reduced Order Models via Deep Operator Networks
Anna Ivagnes, Giovanni Stabile, Gianluigi Rozza
In this paper, we propose an equation-based parametric Reduced Order Model (ROM), whose accuracy is improved with data-driven terms added into the reduced equations. These addition…
Model Reduction for Transport-Dominated Problems via Cross-Correlation Based Snapshot Registration
Harshith Gowrachari, Giovanni Stabile, Gianluigi Rozza
Traditional linear approximation methods, such as proper orthogonal decomposition and the reduced basis method, are ill-suited for transport-dominated problems due to the slow deca…