Francesco Ballarin

Affiliation

Tenure-track Assistant Professor in 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

Contact

Francesco Ballarin
Department of Mathematics and Physics, Università Cattolica del Sacro Cuore
via Garzetta 48, I-25133 Brescia, Italy
phone: +39 030 2406 723
email: francesco.ballarin@unicatt.it

Highlights

Introducing FEM on Kaggle, a spin-off of FEM on Colab to use FEniCS, FEniCSx, firedrake, gmsh and ngsolve on Kaggle. First release in December 2022.

New preprint on reduced order modelling based on domain decomposition and optimization, by I. Prusak, M. Nonino, D. Torlo, F. Ballarin, and G. Rozza (November 2022).

New preprint on mathematical analysis and numerical simulations of elastic membranes with deformable boundaries, by F. Ballarin, G. Bevilacqua, L. Lussardi, and A. Marzocchi (July 2022).

I visited the group of Prof. Traian Iliescu at the Interdisciplinary Center for Applied Mathematics, Virginia Tech for 1 month. Thanks to the ARIA MSCA-RISE-2019 project for the financial support (June/July 2022).

New preprint on the application of HiMod to an advection-diffusion problem in microfluidics, by S. Perotto, G. Bellini, F. Ballarin, K. Calò, V. Mazzi, and U. Morbiducci (May 2022).

New preprint on data-driven model reduction using Barlow Twins self-supervised learning, by T. Kadeethum, F. Ballarin, D. O’Malley, Y. Choi, N. Bouklas, and H. Yoon (February 2022).

New preprint on semi-implicit partitioned reduced basis methods for fluid-structure interaction problems, by M. Nonino, F. Ballarin, G. Rozza and Y. Maday (January 2022).

Introducing FEM on Colab, a collection of packages that allows to easily install several finite element libraries on Google Colab. Available packages are FEniCS, FEniCSx, firedrake, gmsh and ngsolve. First released in June 2021, and from January 2022 with periodic builds.

From multiphenics to multiphenicsx, the next generation of easy prototyping of multiphysics problems in FEniCSx - version 0.2.0 released in January 2022. multiphenics is still supported, but new and existing users of FEniCS and multiphenics are encouraged to gradually move to FEniCSx and multiphenicsx.

FEMlium - interactive visualization of finite element simulations on geographic maps with folium - development of a new open source library started in May 2021 at Università Cattolica del Sacro Cuore.

Bachelor and Master thesis projects available at unicatt under my supervision. Contact me if you are interested!

RBniCS - reduced order modelling in FEniCS - visit the new website www.rbnicsproject.org launched in August 2020

Software

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.

Publications

Ivan Prusak, Monica Nonino, Davide Torlo, Francesco Ballarin, and Gianluigi Rozza. An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations. Submitted, 2022. arXiv:2211.14528.
Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi, and Alfredo 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.

Teaching

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).

Students

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).

Events

Divulgative seminar, Celebration of mind, Università Cattolica del Sacro Cuore, Brescia, Italy (Oct. 2022, 21).
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).

Projects

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.