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Marc Laforest
B.Sc. UQAM, M.Sc., Ph.D. SUNY at Stony Brook

Research interests and affiliations

Research interests

Continuum mechanics, hyperbolic conservation laws, kinetic equations, numerical analysis, multi-scale analysis, a posteriori error estimation, mesh adaptivity.

Expertise type(s) (NSERC subjects)
  • 2203 Modelling, simulation
  • 2951 Continuum mechanics
  • 2952 Linear and non-linear systems
  • 2953 Wave propagation
  • 2955 Numerical analysis

Publications

Recent publications
Journal article
Law, Y.-M. & Laforest, M. (2019). A nonlinear relaxation formulation of the p-curl problem modelling high-temperature superconductors: a modified Yee's scheme. Journal of Computational Physics, 378, 591-614. Retrieved from https://doi.org/10.1016/j.jcp.2018.11.027
Journal article
Choi, H., Kim, H. & Laforest, M. (2018). Relaxation model for the p-Laplacian problem with stiffness. Journal of Computational and Applied Mathematics, 344, 173-189. Retrieved from https://doi.org/10.1016/j.cam.2018.05.022
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

Teaching

Équations différentielles. Analyse. Analyse numérique.

Supervision at Polytechnique

IN PROGRESS

  • Master (thesis) (1)

    • Schmidt, Augustin. Détection de décollement dans un composite stratifié par Tomographie d'Impédance Électrique (TIE).

COMPLETED

  • Ph.D. Thesis (1)

    • Wan, A.T.S. (2014). Adaptive Space-Time Finite Element Method in High Temperature Superconductivity (Ph.D. Thesis, École Polytechnique de Montréal). Retrieved from https://publications.polymtl.ca/1545
  • Master's Thesis (4)

    • Pellerin, J. (2011). Potentiel d'interaction décroissant pour les lois de conservation non convexes (Master's Thesis, École Polytechnique de Montréal). Retrieved from https://publications.polymtl.ca/616
    • Assi, K.C. (2008). Version adaptative d'un modèle à vélocité discrète pour l'équation de Boltzmann (Master's Thesis, École Polytechnique de Montréal).
    • Coutant, F. (2007). Analyse, correction et évaluation de simulations éducatives pour l'enseignement des sciences (Master's Thesis, École Polytechnique de Montréal).
    • Liu, C.Y. (2007). Adjoint-based error estimation for the front-tracking method (Master's Thesis, École Polytechnique de Montréal).

Press review about Marc Laforest

May 3, 2015, CHOI 98,1 Radio X Québec, Le show du matin week-end. L'enseignement des maths n'est plus adapté au monde actuel, dit le mathématicien anglais Conrad Wolfram. Propos de Marc Laforêt, professeur de mathématiques à Polytechnique Montréal.