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

Grégoire Allaire publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Grégoire Allaire sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 216 publications — 68th percentile

68% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Grégoire Allaire D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Grégoire Allaire sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 59 D-Index — 84th percentile

84% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

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