31 citations · 37 across the 8 of their papers we have counts for
10 papers
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…
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…
On the accuracy and efficiency of reduced order models: towards real-world applications
Pierfrancesco Siena, Paquale Claudio Africa, Michele Girfoglio +1
This chapter provides an extended overview about Reduced Order Models (ROMs), with a focus on their features in terms of efficiency and accuracy. In particular, the aim is to brows…
Stabilized POD Reduced Order Models for convection-dominated incompressible flows
Pierfrancesco Siena, Michele Girfoglio, Annalisa Quaini +1
We present a comparative computational study of two stabilized Reduced Order Models (ROMs) for the simulation of convection-dominated incompressible flow (Reynolds number of the or…
A Reduced Order Model formulation for left atrium flow: an Atrial Fibrillation case
Caterina Balzotti, Pierfrancesco Siena, Michele Girfoglio +5
A data-driven Reduced Order Model (ROM) based on a Proper Orthogonal Decomposition - Radial Basis Function (POD-RBF) approach is adopted in this paper for the analysis of blood flo…
A data-driven Reduced Order Method for parametric optimal blood flow control: application to coronary bypass graft
Caterina Balzotti, Pierfrancesco Siena, Michele Girfoglio +2
We consider an optimal flow control problem in a patient-specific coronary artery bypass graft with the aim of matching the blood flow velocity with given measurements as the Reyno…
Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters
Pierfrancesco Siena, Michele Girfoglio, Francesco Ballarin +1
In this work the development of a machine learning-based Reduced Order Model (ROM) for the investigation of hemodynamics in a patient-specific configuration of Coronary Artery Bypa…
An introduction to POD-Greedy-Galerkin reduced basis method
Pierfrancesco Siena, Michele Girfoglio, Gianluigi Rozza
Partial differential equations can be used to model many problems in several fields of application including, e.g., fluid mechanics, heat and mass transfer, and electromagnetism. A…
Fast and accurate numerical simulations for the study of coronary artery bypass grafts by artificial neural network
Pierfrancesco Siena, Michele Girfoglio, Gianluigi Rozza
In this work a machine learning-based Reduced Order Model (ROM) is developed to investigate in a rapid and reliable way the hemodynamic patterns in a patient-specific configuration…