works on

From the 1 of 7 linked papers with an AI index.

activity
20242026
collaborators

7 papers

math.NA2026

An agglomeration-based multigrid solver for the discontinuous Galerkin discretization of cardiac electrophysiology

Marco Feder, Pasquale Claudio Africa

The paper introduces an agglomeration-based multigrid preconditioner to speed up iterative solvers for linear systems from discontinuous Galerkin discretizations of the cardiac mon…

math.OC2025

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…

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

Projection-based Reduced Order Modelling for Unsteady Parametrized Optimal Control Problems in 3D Cardiovascular Flows

Surabhi Rathore, Pasquale Claudio Africa, Francesco Ballarin +3

This paper presents a projection-based reduced order modelling (ROM) framework for unsteady parametrized optimal control problems (OCPs) arising from cardiovascular (CV) a…

physics.med-ph2025

Mesh-Informed Reduced Order Models for Aneurysm Rupture Risk Prediction

Giuseppe Alessio D'Inverno, Saeid Moradizadeh, Sajad Salavatidezfouli +2

The complexity of the cardiovascular system needs to be accurately reproduced in order to promptly acknowledge health conditions; to this aim, advanced multifidelity and multiphysi…

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…