Francesco Ballarin

Affiliation

Tenure-track Assistant 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

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

New preprint on reduced order modelling for thermo-poroelasticity problems solved by means of iterative schemes, by F. Ballarin, S. Lee, and S.-Y. Yi (September 2023).

I visited Virtualmech and the group of Prof. ‪Tomás Chacón Rebollo at Universidad de Sevilla for five weeks, within the ARIA project (July 2023).

New preprint on computational modelling of molten glass in an industrial furnace, by F. Ballarin, E. Delgado Ávila, A. Mola, and G. Rozza (July 2023).

New preprint on approximate deconvolution Leray reduced order modelling in fluid dynamics of convection-dominated flows, by A. Sanfilippo, I. Moore, F. Ballarin, and T. Iliescu (July 2023).

New preprint on feedback control for evolve-filter-relax regularization of Navier-Stokes equations, by M. Strazzullo, F. Ballarin, T. Iliescu, and C. Canuto (July 2023).

I visited the group of Prof. Garth Wells at the University of Cambridge for a week (May 2023).

From multiphenics to multiphenicsx, the next generation of easy prototyping of multiphysics problems in FEniCSx - new website released in April 2023.

Announcing viskex - interactive visualization for firedrake and FEniCSx. Development started in March 2023.

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.

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.

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.

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

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

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.
Lead developer of viskex - interactive visualization for firedrake and FEniCSx, 2023-ongoing.

Publications

Francesco Ballarin, Sanghyun Lee, and Son-Young Yi. Projection-based reduced order modeling of an iterative coupling scheme for thermo-poroelasticity. Submitted, 2023. arXiv:2309.01004.
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.
Anna Sanfilippo, Ian Moore, Francesco Ballarin, and Traian Iliescu. Approximate deconvolution Leray reduced order model for convection-dominated flows. Finite Elements in Analysis and Design, 226:104021, 2023. arXiv:2307.10817, doi:10.1016/j.finel.2023.104021.

Teaching

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).

Students

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).

Events

Divulgative seminar, Celebration of mind, Università Cattolica del Sacro Cuore, Brescia, Italy (Oct. 2023, 23).
Organizer, Numerical Analysis of Galerkin ROMs seminar series, second semester, online (Oct. 2023, 2 - Dec. 2023, 12).
Divulgative seminar, European Researchers Night, Università Cattolica del Sacro Cuore, Brescia, Italy (Sep. 2023, 29).
Invited seminar, Scientific machine learning and Model order reduction for partial differential equations, Online (Sep. 2023, 22).

Projects

Member of “Metodi numerici per lo studio di strutture geometriche parametriche complesse”, INdAM GNCS 2023, 2023.
Member and unit leader of “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.
Member of “Metodi di riduzione computazionale per le scienze applicate: focus su sistemi complessi”, INdAM GNCS 2022, 2022.