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ALLAIRE Gregoire

Professor of Applied Mathematics at Ecole Polytechnique

Centre de Mathématiques Appliquées
Ecole Polytechnique

Tel:  33 (0)1 69 33 46 11
Fax: 33 (0)1 69 33 46 46

One PhD position (december 2021).
Homogenization Method

Web page of the research team on Shape Optimization at CMAP.

Level set method


  •   Numerical Linear Algebra

  •   Numerical Analysis and Optimization

  •   Conception optimale de structures

  •   Analyse numérique et optimisation

  • Shape optimization by the homogenization method

  • Algèbre linéaire numérique et Introduction à Scilab.

  • Teaching:

    Some self-advertisement about my courses at Ecole Polytechnique...

  • Optimization and control (MAP 435)
  • Optimal Design of Structures (MAP 562)
  • Transport and diffusion (MAP 567)
  • Master course on "Theoretical and Numerical Analysis of Hyperbolic Systems of Conservation Laws" (with SCILAB routines)
  • Former courses:

  • Numerical Approximation and Optimisation (MAP 411)
  • Numerical Analysis and Optimisation (old course MAP 431)
  • Master course on "Homogenization"
  • Master course on "Functional analysis and applications"

  • Research topics:

  • Scientific computing
  • Multiscale modelling
  • Partial differential equations
  • Homogenization
  • Composite materials
  • Shape and topology optimization
  • Porous media
  • Two-phase flows
  • Neutron transport

  • CV and publications:

  • Curriculum Vitae
  • List of references (with links to the preprints)
  • List of mountain outings

  • Some computer programs:

  • A Scilab Code for shape optimization by the level set method.
  • A FreeFem++ toolbox for shape optimization.
  • Ongoing work on 3-d shape optimization with FreeFem++.

  • A few personal links:

  • SOFIA project (Solutions for Industrial Metal Additive Manufacturing).
  • Projet TOP (Topology Optimization Platform) at IRT SystemX.
  • GAMNI/SMAI Group for Advances of Numerical Methods in Engineering.
  • Some informations about the journal ESAIM/COCV
  • Some informations about the journal de l'Ecole Polytechnique (Mathématiques)
  • Some informations about the journal Discrete and Continuous Dynamical Systems
  • Some informations about the journal Computational and Applied Mathematics
  • "Mathématiques et Applications" Series edited under the auspices of SMAI and published by Springer
  • If you like mountains...