Scientific interests

From a general viewpoint, I am interested in:

• Numerical and theoretical aspects of PDEs
• Multiphysics problems
• Applications in Continuum (Solid or Fluid) Mechanics

Current and recent research topics include:

• Non-linear and non-smooth computational mechanics: large deformations, contact, plasticity, adhesion
• Polytopal exterior calculus and discrete de Rham complexes
• Poroelasticity with fractures in the presence of multi-phase flows
• Gradient Discretization Method
• Discretization methods on polytopal grids (Discontinuous Galerkin, Hybrid High-Order)

Publications and preprints

Refereed journal papers

1. M. Barboteu, F. Bonaldi, S. Dumont, and R. Mansour.
   An energy-consistent model of persistent adhesive contact for hyperelastic materials: Theory, discretization, and applications.
   Commun. Nonlinear Sci. Numer. Simul. 155. Accepted for publication, 2026 (link).

2. F. Bonaldi, D. A. Di Pietro, J. Droniou, and K. Hu.
   An exterior calculus framework for polytopal methods.
   J. Eur. Math. Soc., 2025 (link).

3. M. Barboteu, F. Bonaldi, S. Dumont, and C. Mahmoud.
   An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues.
   Comput. Methods Appl. Mech. Engrg. 421, 2024 (link).

4. F. Bonaldi, J. Droniou, and R. Masson.
   Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces.
   Math. Comp. 93, 2024 (link).

5. M. Barboteu, F. Bonaldi, D. Danan, and S. El-Hadri.
   An improved normal compliance method for dynamic hyperelastic problems with energy conservation property.
   Commun. Nonlinear Sci. Numer. Simul. 123, 2023 (link).

6. F. Bonaldi, J. Droniou, R. Masson, and A. Pasteau.
   Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix–fracture interfaces.
   J. Comp. Phys. 455, 2022 (link).

7. F. Bonaldi, K. Brenner, J. Droniou, R. Masson, A. Pasteau, and L. Trenty.
   Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces.
   ESAIM Math. Model. Numer. Anal. 55, 2021 (link).

8. F. Bonaldi, K. Brenner, J. Droniou, and R. Masson.
   Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media.
   Comput. Math. with Appl. 98, 2021 (link).

9. P.F. Antonietti, F. Bonaldi, and I. Mazzieri.
   Simulation of 3D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method.
   Internat. J. Numer. Methods Engrg. 121, 2020 (link).

10. P. F. Antonietti, F. Bonaldi, and I. Mazzieri.
    A high-order discontinuous Galerkin approach to the elasto-acoustic problem.
    Comput. Methods Appl. Mech. Engrg. 358, 2020 (link).

11. F. Bonaldi, D. A. Di Pietro, G. Geymonat, and F. Krasucki.
    A Hybrid High-Order method for Kirchhoff–Love plate bending problems.
    ESAIM Math. Model. Numer. Anal. 52, 2018 (link).

12. F. Bonaldi, G. Geymonat, F. Krasucki, and M. Vidrascu.
    Mathematical and numerical modeling of plate dynamics with rotational inertia.
    J. Numer. Math. 26, 2017 (link).

13. F. Bonaldi, G. Geymonat, F. Krasucki, and M. Serpilli.
    An asymptotic plate model for magneto-electro-thermo-elastic sensors and actuators.
    Math. Mech. Solids 22, 2017 (link).

14. F. Bonaldi, G. Geymonat, and F. Krasucki.
    *Modeling of smart materials with thermal effects: dynamic and quasi-static evolution.
    *Math. Models Methods Appl. Sci. 25, 2015 (link).

15. F. Bonaldi and M. Frémond.
    Collision, damage, smooth evolution of an articulation. The “tennis elbow”.
    Meccanica 48, 2013 (link).

Book chapters

1. F. Bonaldi, K. Brenner, J. Droniou, and R. Masson. The Gradient Discretisation Method for Two-phase Discrete Fracture Matrix Models in Deformable Porous Media. Finite Volumes for Complex Applications IX Proc., 2020.

Conference proceedings

1. F. Bonaldi, K. Brenner, J. Droniou, and R. Masson. Two-Phase Darcy Flows in Fractured and Deformable Porous Media, Convergence Analysis and Iterative Coupling. Conference Proceedings, ECMOR XVII, Volume 2020, 1–20.
2. F. Bonaldi, F. Krasucki, G. Geymonat, and M. Serpilli. Temperature influence on smart structures: a first approach. 11th World Congr. on Computational Mechanics (WCCM XI), Barcelona, Spain, July 20-25, 3357-3368. E. Onate, J. Oliver and A. Huerta (Eds), ISBN/ISSN : 9788494284472, 2014.

Ph.D. Thesis
Modélisation mathématique et numérique de structures en présence de couplages linéaires multiphysiques (link).