Francesco Ballarin
Associate Professor of Numerical Analysis at the Department of Mathematics and Physics, Università Cattolica del Sacro Cuore.
Research interests
Numerical analysis
Reduced order modelling
Computational fluid dynamics
Open-source software development
Highlights
I visited Virtualmech and the group of Prof. Tomás Chacón Rebollo at Universidad de Sevilla for four weeks, within the ARIA project (July 2024).
Thesis projects available at Università Cattolica del Sacro Cuore under my supervision. Contact me if you are interested!
Lead developer of RBniCS - reduced order modelling in FEniCS, 2015-ongoing.
Lead developer of multiphenics/multiphenicsx - easy prototyping of multiphysics problems in FEniCS/FEniCSx, 2016-ongoing.
Lead developer of FEMlium - interactive visualization of finite element simulations on geographic maps with folium, 2021-ongoing.
Lead developer of FEM on Colab/FEM on Kaggle, 2021-ongoing.
Lead developer of viskex - interactive visualization for firedrake and FEniCSx, 2023-ongoing.
Ian Moore, Anna Sanfilippo, Francesco Ballarin, and Traian Iliescu. A priori error bounds for the approximate deconvolution Leray reduced order model. Submitted, 2024. arXiv:2410.02673.
Francesco Ballarin and Traian Iliescu. A priori error bounds for POD-ROMs for fluids: a brief survey. Submitted, 2024. arXiv:2409.00621.
Francesco Ballarin, Sanghyun Lee, and Son-Young Yi. Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity. Results in Applied Mathematics, 21:100430, 2024. arXiv:2309.01004, doi:10.1016/j.rinam.2023.100430.
Lecturer for course on “Elements of numerical analysis”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Spring 2025).
Lecturer for course on “Computational fluid dynamics”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Fall 2024).
Lecturer for course on “Numerical analysis”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Fall 2024 + Spring 2025).
Lecturer for course on “Stochastic processes and optimization for machine learning”. Master degree in Data analytics for business, Università Cattolica del Sacro Cuore, Italy (Fall 2024).
Advisor in the master thesis of Patrick Poetto, “Enhancing Neural Network Training Efficiency: Analysis of Gradient-Based Optimization Techniques”. Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Oct. 2024).
Advisor in the master thesis of Emila Vojkollari, “Analyzing Data of Patients with Coronary Diseases after Angioplasty”. Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Oct. 2024).
Co-advisor in the bachelor thesis of Matilde Tartarini, “Numerical methods for dynamical systems: application to economics models”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Oct. 2024).
Talk in a minisymposium, 9th European Congress of Mathematics, Sevilla, Spain (15-19 Jul. 2024).
Talk, FEniCS 2024, Simula Research Laboratory, Oslo, Norway (12-14 Jun. 2024).
Minisymposium organizer, SIAM UQ24, Trieste, Italy (27 Feb. 2024 - 1 Mar. 2024).
Invited seminar, Data-Driven Physical Simulations seminar series, online (22 Feb. 2024).
Member and unit leader of “ROMEU: Reduced Order Models for Environmental and Urban flows”, PRIN 2022 PNRR, 2023-2025.
Member of “Metodi numerici per lo studio di strutture geometriche parametriche complesse”, INdAM GNCS 2023, 2023.
Member and unit leader of “ARIA: Accurate ROMs for Industrial Applications”, MSCA-RISE-2019, 2022-2024.
Principal investigator of “Reduced order modelling for numerical simulation of partial differential equations”, D.1 project by Università Cattolica del Sacro Cuore, 2022-2024.