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
Journal article
Journal article
Journal article
Prudhomme, S., Romkes, A., & van der Zee, K. (2026). Goal-Oriented Adaptive Modeling: Oden's Legacy, Recent Results, and Future Trends. Computing in Science & Engineering, 11 pages.
Diehl, P., Downing, E., Edwards, A., & Prudhomme, S. (2025). Coupling Approaches with Non-matching Grids for Classical Linear Elasticity and Bond-based Peridynamic Models in 1D. Journal of Peridynamics and Nonlocal Modeling, 7(2), 29 pages.
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.
Paquette-Rufiange, A., Laforest, M., & Prudhomme, S. (2025). Goal-oriented calibration of a model and its modeling errors. Computer Methods in Applied Mechanics and Engineering, 448, 118486 (26 pages).
See all publications (130)
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].
- 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 (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].