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Serge Prudhomme
Dipl. Ing. (EC Lille), M.Sc. (University of Virginia), Ph.D. (UT Austin)

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


Recent publications
Journal article
Kheradmand, E., Laforest, M. & Prudhomme, S. (2022). A mathematical framework for the analysis and comparison of contact detection methods for ellipses and ellipsoids. Computational Particle Mechanics, 51 pages. Retrieved from
Journal article
Boone, E., Hannig, J., Ghanam, R., Ghosh, S., Ruggeri, F. & Prudhomme, S. (2022). Model Validation of a Single Degree-of-Freedom Oscillator: A Case Study. Stats, 5(4), 1195-1211. Retrieved from
Journal article
Aldirany, Z., Cottereau, R., Laforest, M. & Prudhomme, S. (2022). Optimal error analysis of the spectral element method for the 2D homogeneous wave equation. Computers & Mathematics with Applications, 119, 241-256. Retrieved from
Journal article
Kheradmand, E., Prudhomme, S. & Laforest, M. (2021). A fast contact detection method for ellipsoidal particles. International Journal for Numerical and Analytical Methods in Geomechanics, 45, 1169-1194. Retrieved from

Supervision at Polytechnique


  • Ph.D. Thesis (2)

    • Kheradmand Nezhad, E. (2020). Contact Detection for Pairs of Ellipses and Ellipsoids: Analysis, Comparisons, and Improvements (Ph.D. Thesis, Polytechnique Montréal). Retrieved from
    • Kergrene, K. (2018). A goal-oriented finite element method and its extension to pgd reduced-order modeling (Ph.D. Thesis, École Polytechnique de Montréal). Retrieved from
  • Master's Thesis (4)

    • Laberge, G. (2020). Statistical Analysis of Spherical Harmonics Representations of Soil Particles (Master's Thesis, Polytechnique Montréal). Retrieved from
    • Dahito, M.-A. (2018). La méthode des résidus conjugués pour calculer les directions en optimisation continue (Master's Thesis, École Polytechnique de Montréal). Retrieved from
    • 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). Retrieved from
    • Paquette-Rufiange, A. (2017). Optimisation adaptative de la topologie de lattices produits par fabrication additive (Master's Thesis, École Polytechnique de Montréal). Retrieved from