Reduced order modelling
Computational fluid dynamics
Open-source software development
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, 2021-ongoing.
Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi, and Afredo Marzocchi. Elastic membranes spanning deformable boundaries. Submitted, 2022. arXiv:2207.13614.
Simona Perotto, Gloria Bellini, Francesco Ballarin, Karol Calò, Valentina Mazzi, and Umberto Morbiducci. Isogeometric hierarchical model reduction for advection-diffusion process simulation in microchannels. Submitted, 2022. arXiv:2205.08127.
Pierfrancesco Siena, Michele Girfoglio, Francesco Ballarin, and Gianluigi Rozza. Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. Submitted, 2022. arXiv:2203.13682.
Teaching assistant for course on “Elements of numerical analysis”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Spring 2023).
Teaching assistant for course on “Numerical analysis”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Fall 2022).
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 2022).
Co-advisor in the master thesis of Emanuela Viani, “Sparse direct methods and Krylov methods for large sparse linear systems”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Jul. 2022).
Co-advisor in the master thesis of William Andreoli, “Surface reconstruction and surface PDEs, with an application to Lake Garda”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Apr. 2022).
Committee member in the bachelor thesis of Rebecca Faustini, “Numerical analysis techinques in celestial mechanics”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Sep. 2021).
Divulgative seminar, European Researchers Night, Università Cattolica del Sacro Cuore, Brescia, Italy (Sep. 2022, 30).
Talk, ARIA@VT, VirginiaTech, Blacksburg, Virginia, United States (Jul. 2022, 6-8).
Talk, FRAME 2020+2, Politecnico di Torino, Italy (May 2022, 17-20).
Minisymposium organizer, SIAM UQ 22, Atlanta, Georgia, United States (Apr. 2022, 12-15).
Member and unit leader of “Accurate ROMs for Industrial Applications”, MSCA-RISE-2019, 2022-2024.
Member of “Metodi di riduzione computazionale per le scienze applicate: focus su sistemi complessi”, INdAM GNCS 2022, 2022.
Member of “Accurate Climate Change Unified Risk Assessment for Territory and Environment in sub-alpine lakes”, D.3.2 project by the Università Cattolica del Sacro Cuore, 2021.
Member of “Advanced Numerical Techniques for Industrial Applications”, INdAM GNCS 2020, 2020.