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 am visiting 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.
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.
Julien Genovese, Francesco Ballarin, Gianluigi Rozza, and Claudio Canuto. Weighted reduced order methods for uncertainty quantification in computational fluid dynamics. In Gianluigi Rozza, Giovanni Stabile, Max Gunzburger, and Marta D'Elia, editors, Reduction, Approximation, Machine Learning, Surrogates, Emulators and Simulators: RAMSES, pages 127–151. Springer Nature Switzerland, 2024. arXiv:2303.14432, doi:10.1007/978-3-031-55060-7_6.
Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi, and Alfredo Marzocchi. Elastic membranes spanning deformable curves. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 104(6):e202300890, 2024. arXiv:2207.13614, doi:10.1002/zamm.202300890.
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 Cinzia Freretti, “Computational fluid dynamics for blood flows”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Jul. 2024).
Co-advisor in the bachelor thesis of Meryem Chibou, “Gauss elimination via the Bareiss algorithm”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Jul. 2024).
Co-advisor in the master thesis of Rebecca Faustini, “Spectral element methods for fourth order elliptic problems”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Apr. 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).
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).
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.