Serge Prudhomme
Dipl. Ing. (EC Lille), M.Sc. (University of Virginia), Ph.D. (UT Austin)
Full Professor
Department of Mathematical and Industrial Engineering
Department of Mathematical and Industrial Engineering
Research interests and affiliations
Research interests
- Computational engineering and science;
- Finite Element methods;
- A posteriori error estimation and adaptive methods;
- Multiscale modeling;
- Methods of verification and validation for predictive modeling;
- Uncertainty quantification;
- Reduced-order modeling.
Expertise type(s) (NSERC subjects)
- 2107 Modelling, simulation and finite element methods
- 2203 Modelling, simulation
- 2951 Continuum mechanics
- 2955 Numerical analysis
- 2960 Mathematical modelling
Publications
Recent publications
Journal article
Conference paper
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.
Bilodeau, C., Aldirany, Z., Cottereau, R., & Prudhomme, S. (2025, February). Linear Operator Learning using GreenONets and a Multi-level Neural Network approach [Abstract]. 3rd IACM Digital Twins in Engineering Conference (DTE 2025) & 1st ECCOMAS Artificial Intelligence and Computational Methods in Applied Science (AICOMAS 2025), Paris, France.
Vella, C., & Prudhomme, S. (2025). Proper generalized decomposition surrogate modeling with application to the identification of Rayleigh damping parameters. Computers & Structures, 315, 107826 (16 pages).
Vella, C., Gosselet, P., & Prudhomme, S. (2024). An efficient PGD solver for structural dynamics applications. Advanced Modeling and Simulation in Engineering Sciences, 11, 15 (27 pages).
See all publications (127)
Supervision at Polytechnique
COMPLETED
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Ph.D. Thesis (4)
- 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].
- Kheradmand Nezhad, E. (2020). Contact Detection for Pairs of Ellipses and Ellipsoids: Analysis, Comparisons, and Improvements [Ph.D. thesis, Polytechnique Montréal].
- Kergrene, K. (2018). A goal-oriented finite element method and its extension to pgd reduced-order modeling [Ph.D. thesis, École Polytechnique de Montréal].
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Master's Thesis (6)
- 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].
- Dahito, M.-A. (2018). La méthode des résidus conjugués pour calculer les directions en optimisation continue [Master's thesis, École Polytechnique de 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].
- Banna, G. C. (2023). Estimating Distances Between Ellipsoids with Machine Learning [Master's thesis, Polytechnique Montréal].