Marc Laforest
B.Sc. UQAM, M.Sc., Ph.D. SUNY at Stony Brook
Research interests and affiliations
Research interests
Continuum mechanics, hyperbolic conservation laws, kinetic equations, numerical analysis, multi-scale analysis, a posteriori error estimation, mesh adaptivity.
Expertise type(s) (NSERC subjects)
- 2203 Modelling, simulation
- 2951 Continuum mechanics
- 2952 Linear and non-linear systems
- 2953 Wave propagation
- 2955 Numerical analysis
Publications
Recent publications
Journal article
Journal article
Journal article
Journal article
Banna, G. C., Laforest, M., & Prudhomme, S. (2025). Generation of pairs of ellipses and ellipsoids from distributions in parameter space. Computational Particle Mechanics, 11 pages.
Hichmani, M., Laforest, M., & Zaoui, E. M. (2025). Mixed formulation in 3D for a nonlinear eddy current problem from applied superconductivity. Discrete and Continuous Dynamical Systems.
Aldirany, Z., Cottereau, R., Laforest, M., & Prudhomme, S. (2024). Multi-level neural networks for accurate solutions of boundary-value problems. Computer Methods in Applied Mechanics and Engineering, 419, 116666 (23 pages).
Aldirany, Z., Cottereau, R., Laforest, M., & Prudhomme, S. (2024). Operator approximation of the wave equation based on deep learning of Green's function. Computers & Mathematics with Applications, 159, 21-30.
See all publications (31)
Teaching
Équations différentielles. Analyse. Analyse numérique.
Supervision at Polytechnique
COMPLETED
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Ph.D. Thesis (5)
- Aldirany, Z. (2024). Accurate Approximations of the Wave Equation: From Spectral Element Methods to Deep Learning Approaches [Ph.D. thesis, Polytechnique Montréal].
- Paquette-Rufiange, A. (2024). Goal-Oriented Calibration and Validation for Predictive Modeling [Ph.D. thesis, Polytechnique Montréal].
- De Sousa Alves, B. (2021). 3-D Time-Domain Finite Element Modeling of Nonlinear Conductive and Ferromagnetic Thin Films [Ph.D. thesis, Polytechnique Montréal].
- Kheradmand Nezhad, E. (2020). Contact Detection for Pairs of Ellipses and Ellipsoids: Analysis, Comparisons, and Improvements [Ph.D. thesis, Polytechnique Montréal].
- Wan, A. T. S. (2014). Adaptive Space-Time Finite Element Method in High Temperature Superconductivity [Ph.D. thesis, École Polytechnique de Montréal].
- Aldirany, Z. (2024). Accurate Approximations of the Wave Equation: From Spectral Element Methods to Deep Learning Approaches [Ph.D. thesis, Polytechnique Montréal].
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Master's Thesis (9)
- Banna, G. C. (2023). Estimating Distances Between Ellipsoids with Machine Learning [Master's thesis, Polytechnique Montréal].
- Thiémonge, R. (2022). Étude des conditions frontières pour la méthode des éléments discrets dans les milieux granulaires [Master's thesis, Polytechnique Montréal].
- Laberge, G. (2020). Statistical Analysis of Spherical Harmonics Representations of Soil Particles [Master's thesis, Polytechnique Montréal].
- Schmidt, A. (2018). On Delamination Crack Detection in Carbon Fiber Reinforced Polymers Using Electrical Impedance Tomography and Supervised Learning [Master's thesis, École Polytechnique de Montréal].
- Paquette-Rufiange, A. (2017). Optimisation adaptative de la topologie de lattices produits par fabrication additive [Master's thesis, École Polytechnique de Montréal].
- Pellerin, J. (2011). Potentiel d'interaction décroissant pour les lois de conservation non convexes [Master's thesis, École Polytechnique de Montréal].
- Assi, K. C. (2008). Version adaptative d'un modèle à vélocité discrète pour l'équation de Boltzmann [Master's thesis, École Polytechnique de Montréal].
- Coutant, F. (2007). Analyse, correction et évaluation de simulations éducatives pour l'enseignement des sciences [Master's thesis, École Polytechnique de Montréal].
- Liu, C. Y. (2007). Adjoint-based error estimation for the front-tracking method [Master's thesis, École Polytechnique de Montréal].
- Banna, G. C. (2023). Estimating Distances Between Ellipsoids with Machine Learning [Master's thesis, Polytechnique Montréal].
Press review about Marc Laforest
May 3, 2015,
CHOI 98,1 Radio X Québec,
Le show du matin week-end.
L'enseignement des maths n'est plus adapté au monde actuel, dit le mathématicien anglais Conrad Wolfram. Propos de Marc Laforêt, professeur de mathématiques à Polytechnique Montréal.
