3 papers
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
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…