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
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.
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.
Gianluigi Rozza, Francesco Ballarin, Leonardo Scandurra, and Federico Pichi. Real Time Reduced Order Computational Mechanics. SISSA Springer Series. Springer Cham, 2024. ISBN 978-3-031-49891-6.
Francesco Ballarin, Enrique Delgado Ávila, Andrea Mola, and Gianluigi Rozza. Mathematical modelling and computational reduction of molten glass fluid flow in a furnace melting basin. Submitted, 2023. arXiv:2307.14700.
Teaching assistant for course on “Elements of numerical analysis”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Spring 2024).
Teaching assistant for course on “Numerical analysis”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Fall 2023 + Spring 2024).
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 2023).
Advisor in the master thesis of Erica Pirondi, “Cluster Identification and Neural Network Application in Patients with Cardiovascular Disease”. Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Oct. 2023).
Co-advisor in the bachelor thesis of Maria Ghisini, “Numerical optimization techniques for machine learning problems”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Jul. 2023).
Co-advisor in the bachelor thesis of Francesco Pasqualini, “Automatic differentiation for machine learning models”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Apr. 2023).
Invited seminar, Data-Driven Physical Simulations seminar series, online (22 Feb. 2024).
Invited seminar, Numerical Analysis of Galerkin ROMs seminar series, online (30 Jan. 2024).
Organizer, Numerical Analysis of Galerkin ROMs seminar series, third semester, online (23 Jan. 2024 - 7 May 2024).
Divulgative seminar, Celebration of mind, Università Cattolica del Sacro Cuore, Brescia, Italy (23 Oct. 2023).
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.