World's Best Scientists 2026 revealed!
Grégoire Allaire

Grégoire Allaire

D-Index & Metrics

Mathematics

D-Index
59
Citations
20193
World Ranking
579
National Ranking
27

Overview

Grégoire Allaire is affiliated with École Polytechnique in France, focusing primarily on engineering disciplines. Their work spans 73 publications in this main field, with particular emphasis on subfields such as Mechanics of Materials, Civil and Structural Engineering, Computational Theory and Mathematics, Computational Mechanics, and Mechanical Engineering.

Their research interests concentrate on several key topics, including:

  • Topology Optimization in Engineering
  • Composite Structure Analysis and Optimization
  • Advanced Mathematical Modeling in Engineering
  • Composite Material Mechanics
  • Advanced Multi-Objective Optimization Algorithms
  • Advanced Numerical Methods in Computational Mathematics
  • Additive Manufacturing and 3D Printing Technologies

Grégoire Allaire has contributed frequently to various academic venues, with multiple publications appearing in:

  • Structural and Multidisciplinary Optimization
  • Computer Methods in Applied Mechanics and Engineering
  • Journal of Computational Physics
  • Applicable Analysis
  • ESAIM Control Optimisation and Calculus of Variations

Recent notable publications include:

  • "Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers" (2021), published in Computer Methods in Applied Mechanics and Engineering
  • "Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing" (2020), published in Journal of Computational Physics
  • "Support optimization in additive manufacturing for geometric and thermo-mechanical constraints" (2020), published in Structural and Multidisciplinary Optimization
  • "Null space gradient flows for constrained optimization with applications to shape optimization" (2020), published in ESAIM Control Optimisation and Calculus of Variations
  • "Additive manufacturing scanning paths optimization using shape optimization tools" (2020), published in Structural and Multidisciplinary Optimization

Collaboration is evident in their work, with frequent co-authors including:

  • Beniamin Bogosel
  • Charles Dapogny
  • Florian Feppon
  • François Jouve
  • Martin Bihr

Their research contributions address optimization problems in engineering contexts, particularly relating to topology optimization and additive manufacturing techniques. The combination of computational methods and structural optimization is a recurring theme in their work, alongside investigations of mathematical modeling approaches applicable to engineering challenges.

Best Publications

  • Structural optimization using sensitivity analysis and a level-set method

    Grégoire Allaire;François Jouve;Anca-Maria Toader

  • Homogenization and two-scale convergence

    Grégoire Allaire

  • Shape optimization by the homogenization method

    Grégoire Allaire

  • A level-set method for shape optimization

    Grégoire Allaire;François Jouve;Anca-Maria Toader

  • A five-equation model for the simulation of interfaces between compressible fluids

    Grégoire Allaire;Sébastien Clerc;Samuel Kokh

  • Structural optimization using topological and shape sensitivity via a level set method

    Grégoire Allaire;Frédéric de Gournay;François Jouve;Anca-Maria Toader

  • Conception optimale de structures

    Grégoire Allaire

  • Multiscale convergence and reiterated homogenisation

    G. Allaire;M. Briane

  • Numerical analysis and optimization : an introduction to mathematical modelling and numerical simulation

    Grégoire Allaire;Alan Graig

  • Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes I. Abstract framework, a volume distribution of holes

    Grégoire Allaire

  • Optimal design for minimum weight and compliance in plane stress using extremal microstructures

    G. Allaire;R. V. Kohn

  • Homogenization of the stokes flow in a connected porous medium

    Grégoire Allaire

  • A level-set method for vibration and multiple loads structural optimization

    Grégoire Allaire;François Jouve

  • A Multiscale Finite Element Method for Numerical Homogenization

    Grégoire Allaire;Robert Brizzi

  • Boundary layer tails in periodic homogenization

    Grégoire Allaire;Micol Amar

  • Topology optimization for minimum stress design with the homogenization method

    G. Allaire;F. Jouve;H. Maillot

  • Numerical Linear Algebra

    Grégoire Allaire;Sidi Mahmoud Kaber

  • Structural optimization under overhang constraints imposed by additive manufacturing technologies

    Grégoire Allaire;Charles Dapogny;Rafael Estevez;Alexis Faure

  • Minimum stress optimal design with the level set method.

    Grégoire Allaire;François Jouve

  • Homogenization of the Navier-Stokes Equations in Open Sets Perforated with Tiny Holes II: Non-Critical Sizes of the Holes for a Volume Distribution and a Surface Distribution of Holes

    Grégoire Allaire

  • Thickness control in structural optimization via a level set method

    G. Allaire;F. Jouve;G. Michailidis

Frequent Co-Authors

Andrey Piatnitski
Andrey Piatnitski University of Tromsø - The Arctic University of Norway
Andro Mikelić
Andro Mikelić Claude Bernard University Lyon 1
Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Robert V. Kohn
Robert V. Kohn Courant Institute of Mathematical Sciences
Guillaume Bal
Guillaume Bal University of Chicago
Yves Bréchet
Yves Bréchet Monash University
Gengdong Cheng
Gengdong Cheng Dalian University of Technology
Kurt Maute
Kurt Maute University of Colorado Boulder
Glaucio H. Paulino
Glaucio H. Paulino Princeton University
Martin P. Bendsøe
Martin P. Bendsøe Technical University of Denmark

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing a degree in Mathematics opens doors to various online educational opportunities that can complement your skills. For professionals seeking to enhance their leadership potential, exploring the fastest online MBA programs can be an efficient way to gain business acumen without interrupting your career.

Those interested in combining analytical skills with marketing strategies might find value in an online marketing degree. These programs often highlight the balance between cost, duration, and career earnings, making them a smart choice for math graduates looking to enter the marketing field.

If time is a factor, consider exploring the one year MBA programs. These intensive programs are designed to deliver advanced business knowledge quickly, ideal for those who want to accelerate their career growth.

Additionally, for students considering transfers or those with previous coursework, programs offering MBA transfer credits can provide flexibility and reduce the time and cost of degree completion.

Best Scientists Citing Grégoire Allaire

Trending Scientists

Recently Published Articles