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

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

New preprint on finite element modelling for surface and bulk poroelasticity, by J. Kim, I. Ang, F. Ballarin, C.-Y. Hui and N. Bouklas (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.

New preprint on model order reduction for space-time finite element methods, by F. Key, M. von Danwitz, F. Ballarin and G. Rozza (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.

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).

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

Jaemin Kim, Ida Ang, Francesco Ballarin, Chung-Yuen Hui, and Nikolaos Bouklas. A finite element implementation of finite deformation surface and bulk poroelasticity. Submitted, 2023. arXiv:2305.08805.
Fabian Key, Max von Danwitz, Francesco Ballarin, and Gianluigi Rozza. Model order reduction for deforming domain problems in a time-continuous space-time setting. Submitted, 2023. arXiv:2303.16662.
Julien Genovese, Francesco Ballarin, Gianluigi Rozza, and Claudio Canuto. Weighted reduced order methods for uncertainty quantification in computational fluid dynamics. Submitted, 2023. arXiv:2303.14432.

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 + Spring 2023).
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 bachelor thesis of Francesco Pasqualini, “Automatic differentiation for machine learning models”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Apr. 2023).
Advisor in the master thesis of Davide Alberto Lupis, “Credit card fraud detection through isolation forest”. Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Apr. 2023).
Co-advisor in the bachelor thesis of Lorenzo Ronchi, “Algorithms for arbitrary precision floating-point arithmetic”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Feb. 2023).

Events

Organizing committee, FEniCS 2023, Pula (Cagliari), Italy (Jun. 2023, 14-16).
Minisymposium organizer, Math 2 Product 2023, Taormina, Italy (May 2023, 30 - Jun. 2023, 1).
Minisymposium organizer, SIAM Southeastern Atlantic Section Annual Meeting, Virginia Tech, Blacksburg, Virginia, United States (Mar. 2023, 25-26).
Invited seminar, Applied and Computational Mathematics Seminar, Department of Mathematics, Florida State University, Tallahassee, Florida, United States (Feb. 2023, 21).

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.