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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

Publications

Recent publications
Journal article
Darrigrand, V., Rodriguez-Rozas, A., Muga, I., Pardo, D., Romkes, A. & Prudhomme, S. (2018). Goal-oriented adaptivity using unconventional error representations for the multidimensional Helmholtz equation. International Journal for Numerical Methods in Engineering, 113(1), 22-42. Retrieved from https://doi.org/10.1002/nme.5601
Journal article
Saad, B.M., Alexanderian, A., Prudhomme, S. & Knio, O.M. (2018). Probabilistic modeling and global sensitivity analysis for CO2 storage in geological formations: a spectral approach. Applied Mathematical Modelling, 53, 584-601. Retrieved from https://doi.org/10.1016/j.apm.2017.09.016
Journal article
Kergrene, K., Prudhomme, S., Chamoin, L. & Laforest, M. (2017). A new goal-oriented formulation of the finite element method. Computer Methods in Applied Mechanics and Engineering, 327, 256-276. Retrieved from https://doi.org/10.1016/j.cma.2017.09.018
Journal article
Kergrene, K., Prudhomme, S., Chamoin, L. & Laforest, M. (2017). Approximation of constrained problems using the PGD method with application to pure Neumann problems. Computer Methods in Applied Mechanics and Engineering, 317, 507-525. Retrieved from https://doi.org/10.1016/j.cma.2016.12.023

Supervision at Polytechnique

COMPLETED

  • Master's Thesis (2)

    • 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 https://publications.polymtl.ca/3281/
    • Paquette-Rufiange, A. (2017). Optimisation adaptative de la topologie de lattices produits par fabrication additive (Master's Thesis, École Polytechnique de Montréal). Retrieved from https://publications.polymtl.ca/2744/