Version française

ALLAIRE Gregoire
Professor of Applied Mathematics
Vice-Chair of the Applied Mathematics Department
In charge of the MMSN chair sponsored by F-EADS/X/INRIA/F-X.
Member of the INRIA team DEFI


Centre de Mathématiques Appliquées
UMR CNRS 7641
Ecole Polytechnique
91198 PALAISEAU Cedex, FRANCE


Tel:  33 (0)1 69 33 46 11
Fax: 33 (0)1 69 33 46 46
Mail:   gregoire.allaire_AT_polytechnique.fr

Homogenization Method

The web page of the research team on Shape Optimization at CMAP.

 		Level set method

Books:

  •   Numerical Linear Algebra

  •   Numerical Analysis and Optimization To order it

  •   Conception optimale de structures

  •   Analyse numérique et optimisation

  • Shape optimization by the homogenization method

  • Algèbre linéaire numérique et Introduction à Scilab.

    • Teaching:

  • Numerical Analysis and Optimisation (MAP 431)
  • 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)
  • Master course on "Homogenization"

    • 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 (in french)
  • List of references (with links to the preprints)

    • 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:

  • The Chair "Mathematical modeling and numerical simulation".
  • Conference PICOF 2012, Inverse problems, Control and Shape Optimization.
  • GAMNI/SMAI Group for Advances of Numerical Methods in Engineering.
  • Some informations about the journal ESAIM/COCV
  • 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
  • Paris Tech and its course catalog
  • If you like mountains...