Scientific interests
From a general viewpoint, I am interested in
Publications and preprints
Preprints
Refereed journal papers
Peer-reviewed conference proceedings
Conference proceedings
Ph.D. Thesis
Modélisation mathématique et numérique de structures en présence de couplages linéaires multiphysiques (abstract, manuscript, slides). Rapport de soutenance (doctoral defense report in French).
Talks
M.Sc. Thesis
A continuum theory for the natural vibrations of spherical virus capsids (dissertation, slides).
From a general viewpoint, I am interested in
- Numerical and theoretical aspects of PDEs
- Multiphysics problems
- Applications in Continuum (Solid or Fluid) Mechanics
- 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
Preprints
- M. Barboteu, F. Bonaldi, S. Dumont, and C. Mahmoud.
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues.
Submitted. Preprint hal-04291073, 2023. - F. Bonaldi, D. A. Di Pietro, J. Droniou, and K. Hu.
An exterior calculus framework for polytopal methods.
Submitted. Preprint hal-04037653, arXiv:2303.11093, 2023 (pdf). - F. Bonaldi, J. Droniou, and R. Masson.
Numerical analysis of a mixed-dimensional poromechanical model
with frictionless contact at matrix–fracture interfaces.
Submitted. Preprint hal-03541096, arXiv:2201.09646, 2022 (pdf).
Refereed journal papers
- M. Barboteu, F. Bonaldi, D. Danan, and S. El-Hadry.
An improved normal compliance method for dynamic hyperelastic
problems with energy conservation property.
Commun. Nonlinear Sci. Numer. Simul., 2023 (pdf). To appear. - 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., 2022. DOI: 10.1016/j.jcp.2022.110984. Preprint hal-03349229, arXiv:2109.09428 (pdf) - 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., 55:1741–1777, 2021 (pdf). DOI: 10.1051/m2an/2021036 - 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., 98:40–68, 2021 (pdf) - 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., 2020. DOI: 10.1002/nme.6305 - 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. DOI: 10.1016/j.cma.2019.112634 - 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., 52:393–421, 2018 (pdf) - F. Bonaldi, G. Geymonat, F. Krasucki, and M. Vidrascu.
Mathematical and numerical modeling of plate dynamics with rotational inertia.
J. Numer. Math. 26:21–33, 2017 (pdf) - F. Bonaldi, G. Geymonat, F. Krasucki, and M. Serpilli.
An asymptotic plate model for magneto-electro-thermo-elastic sensors and actuators.
Math. Mech. Solids, 22:798–822, 2017 (pdf) - F. Bonaldi, G. Geymonat, and F. Krasucki.
Modeling of smart materials with thermal effects: dynamic and quasi-static evolution.
Math. Models Methods Appl. Sci., 25:2633–2667, 2015 (pdf) - F. Bonaldi and M. Frémond.
Collision, damage, smooth evolution of an articulation. The “tennis elbow”.
Meccanica, 48:1117–1126, 2013 (pdf)
Peer-reviewed conference proceedings
- 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 (pdf)
Conference proceedings
- 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. - 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 (pdf)
Ph.D. Thesis
Modélisation mathématique et numérique de structures en présence de couplages linéaires multiphysiques (abstract, manuscript, slides). Rapport de soutenance (doctoral defense report in French).
Talks
- SISSA mathLab Seminar, Trieste (Italy), November 2023
- 29th French-Polish Seminar of Mechanics, Gdansk (Poland), September 2023
- ENUMATH 2023, Lisbon (Portugal), September 2023
- Nonsmooth Problems with Applications in Mechanics, Bedlewo (Poland), June 2023
- CFC 2023, Cannes (France), April 2023
- ECCOMAS 2022, Oslo (Norway), juin 2022
- FRAME2020+2 (Fractured media : numerical methods for fluid flow and mechanics), Politecnico
di Torino, 17–20 mai 2022 - Séminaire de l’équipe Inria M3DISIM, Inria Saclay, 16 décembre 2021
- Séminaire du LAMPS, Université de Perpignan Via Domitia, 9 décembre, 2021
- Séminaire ACSIOM, IMAG, Université de Montpellier, 26 octobre, 2021
- Mathias Days 2021, Minisymposium “Reservoir simulation”, 6 octobre 2021
- SIMAI 2020+2021, Minisymposium “Advances in polygonal and polyhedral methods”, 30 août 2021
- SIAM GS21, Minisymposium Mathematical and Numerical Methods for Coupled Interface-Driven Mixed-Dimensional Problems, June 22, 2021
- Interpore 2021, Minisymposium Flow, transport and mechanics in fractured porous media, June 1, 2021
- Séminaire EDP & Analyse Numérique, LJAD, Université Côte d'Azur, February 25, 2021 (slides)
- Séminaire Mécanique des Solides, Institut Jean Le Rond ∂'Alembert, February 9, 2021
- The Gradient Discretisation Method for Two-phase Discrete Fracture Matrix Models in Deformable Porous Media, Algoritmy 2020, September 2020
- The Gradient Discretisation Method for Two-phase Discrete Fracture Matrix Models in Deformable Porous Media, Finite Volumes for Complex Applications IX, June 2020
- Séminaire EDP & Analyse Numérique, LJAD, Université Côte d'Azur, December 12, 2019 (slides)
- 5th ECCOMAS Young Investigators Conference, mini-symposium “Recent advances in numerical methods for seismic wave propagation”, Krakow, September 2019
- MAFELAP 2019 Conference, mini-symposium “Numerical methods in structural mechanics and for higher order problems”, June 20, 2019 (slides)
- Séminaire de Mécanique, Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, March 18, 2019
- Séminaire d’Analyse Numérique et Calcul Scientifique, Laboratoire de Mathématiques de Besançon, March 14, 2019
- Seminar at DISMA (Excellence Project), Politecnico di Torino, March 5, 2019
- Séminaire Mécanique des Fluides, Institut Jean Le Rond d'Alembert, Sorbonne Université, February 19, 2019
- Séminaire Equations aux dérivées partielles, IRMA de Strasbourg, January 29, 2019
- A discontinuous Galerkin approach to the elasto-acoustic problem on polytopic grids, Congress of the Italian Society of Applied and Industrial Mathematics (SIMAI), Rome (Italy), July 2, 2018 (slides). Simulation of the effects of an acoustic point source load (video), in collaboration with Ilario Mazzieri
- Une approche Galerkin discontinue au problème élasto-acoustique sur des maillages polyédriques, CANUM 2018, mini-symposium “Méthodes de discrétisation polytopale et applications”, Cap d’Agde (France), May 29, 2018.
- Une approche Galerkin discontinue d'ordre élevé au problème élasto-acoustique, Journées Jeunes EDPistes 2018, Nancy (France), March 22, 2018
- A Hybrid High-Order method for Kirchhoff–Love plate bending problems, MOX NuMeth Seminar, Politecnico di Milano, November 16, 2017 (slides)
- Une méthode hybride d'ordre élevé pour les plaques en flexion, Séminaire de Mathématiques Appliquées, Laboratoire de Mathématiques Jean Leray, Université de Nantes (France), October 19, 2017
- Coupling elastodynamics and acoustics: a Discontinuous Galerkin approach, POEMS 2017 Workshop, Milan (Italy), July 6, 2017
- A Hybrid High-Order method for Kirchhoff-Love plate bending problems, ARAMIS Workshop, Pau (France), June 13, 2017
- Numerical modeling of Kirchhoff-Love plates with rotational inertia, Journées FreeFEM++, Paris (France), December 16, 2015 (slides)
- Temperature influence on smart structures: a first approach, Journées ARAMIS, Compiègne (France), September 11, 2014
- Temperature influence on smart structures: a first approach, 11th World Congress on Computational Mechanics, Barcelone (Spain), July 22, 2014 (slides)
- Mathematical modeling of linear thermo-electromagnetoelastic materials, Ph.D. students seminar, Montpellier (France), April 30, 2014
- Mechanical modeling of virus capsids - Part II, Computational Visualization Center seminars, UT Austin (United States), March 28, 2012
- Mechanical modeling of virus capsids - Part I, Computational Visualization Center seminars, UT Austin (United States), January 18, 2012
M.Sc. Thesis
A continuum theory for the natural vibrations of spherical virus capsids (dissertation, slides).