48 citations · 67 across the 35 of their papers we have counts for
22 papers · 1 filter
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…
Time Extrapolation with Graph Convolutional Autoencoder and Tensor Train Decomposition
Yuanhong Chen, Federico Pichi, Zhen Gao +1
Graph autoencoders have gained attention in nonlinear reduced-order modeling of parameterized partial differential equations defined on unstructured grids. Despite they provide a g…
On an adjoint-based numerical approach for time-dependent optimal control problems of biomedical interest
Zahra Mirzaiyan, Pierfrancesco Siena, Pasquale Claudio Africa +2
This work develops a rigorous numerical framework for solving time-dependent Optimal Control Problems (OCPs) governed by partial differential equations, with a particular focus on…
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…
Reservoir computing based predictive reduced order model for steel grade intermixing in an industrial continuous casting tundish
Harshith Gowrachari, Mattia Giuseppe Barra, Giovanni Stabile +2
Continuous casting is a widely adopted process in the steel industry, where maintaining high steel quality is paramount. Efficient prediction of grade intermixing during ladle chan…
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…