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
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).
Nader, N., Diehl, P., D'Elia, M., Glusa, C., & Prudhomme, S. (2024). Machine learning-based identification of the interface regions for coupling local and nonlocal models. Journal of Machine Learning for Modeling and Computing, 5(3), 2024053706 (29 pages).
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 (124)
Supervision at Polytechnique
COMPLETED
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Ph.D. Thesis (3)
- Aldirany, Z. (2024). Accurate Approximations of the Wave Equation: From Spectral Element Methods to Deep Learning Approaches [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].
