World's Best Scientists 2026 revealed!
Béatrice Rivière

Béatrice Rivière

D-Index & Metrics

Mathematics

D-Index
37
Citations
8102
World Ranking
2444
National Ranking
1026

Béatrice Rivière 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 Béatrice Rivière 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: 148 publications — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Béatrice Rivière 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 Béatrice Rivière 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: 37 D-Index — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Overview

Béatrice Rivière is affiliated with Rice University in the United States. Their research primarily spans the fields of Engineering and Computer Science, with a focus on specialized subfields such as Computational Mechanics, Computational Theory and Mathematics, Artificial Intelligence, Materials Chemistry, and Numerical Analysis.

The main topics covered in their work include advanced numerical methods in computational mathematics, advanced mathematical modeling in engineering, computational fluid dynamics and aerodynamics, solidification and crystal growth phenomena, lattice Boltzmann simulation studies, model reduction and neural networks, as well as neural networks and applications.

Recent publications by Béatrice Rivière demonstrate a range of interests primarily in computational methods and numerical analysis:

  • PocketNet: A Smaller Neural Network for Medical Image Analysis, 2022, IEEE Transactions on Medical Imaging
  • A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: Stability and convergence, 2022, Mathematics of Computation
  • Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System, 2023, SIAM Journal on Numerical Analysis
  • A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System, 2024, SIAM Journal on Scientific Computing
  • A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows, 2021, Journal of Computational Physics

Béatrice Rivière has collaborated frequently with several researchers, including:

  • David Fuentes (15 joint publications)
  • Adrian Celaya (11 joint publications)
  • Rami Masri (11 joint publications)
  • Chen Liu (10 joint publications)
  • Keegan L. A. Kirk (6 joint publications)

Their work has been published repeatedly in venues such as arXiv (Cornell University), with 21 publications, Computer Methods in Applied Mechanics and Engineering (3 publications), SIAM Journal on Numerical Analysis (2 publications), Journal of Computational Physics (2 publications), and Journal of Numerical Mathematics (2 publications).

Béatrice Rivière has also contributed to academic literature through book publications. Specifically, they have authored a book titled Mathematics and Finite Element Discretizations of Incompressible Navier-Stokes Flows, published in 2024 by the Society for Industrial and Applied Mathematics.

Best Publications

  • Discontinuous Galerkin methods for solving elliptic and parabolic equations : theory and implementation

    Beatrice Riviere

  • Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I

    Béatrice Rivière;Mary F. Wheeler;Vivette Girault

  • A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems

    Béatrice Rivière;Mary F. Wheeler;Vivette Girault

  • Multiphysics simulations: Challenges and opportunities

    David E Keyes;Lois C Mcinnes;Carol Woodward;William Gropp

  • Locally Conservative Coupling of Stokes and Darcy Flows

    Béatrice Rivière;Ivan Yotov

  • DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition

    Vivette Girault;Béatrice Rivière

  • A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems

    Vivette Girault;Béatrice Rivière;Mary F. Wheeler

  • Estimation of penalty parameters for symmetric interior penalty Galerkin methods

    Yekaterina Epshteyn;Béatrice Rivière

  • Analysis of a Discontinuous Finite Element Method for the Coupled Stokes and Darcy Problems

    Béatrice Riviére

  • A strongly conservative finite element method for the coupling of Stokes and Darcy flow

    G. Kanschat;B. Rivière

  • A Posteriori error estimates for a discontinuous galerkin method applied to elliptic problems. Log number: R74

    B. Rivière;M.F. Wheeler

  • A Discontinuous Galerkin Method Applied to Nonlinear Parabolic Equations

    Béatrice Rivière;Mary F. Wheeler

  • Part II. Discontinuous Galerkin method applied to a single phase flow in porous media

    Béatrice Riviè;Mary F. Wheeler;Krzysztof Banaś

  • Superconvergence and H(div) projection for discontinuous Galerkin methods

    Peter Bastian;Béatrice Rivière

  • Discontinuous Galerkin methods for flow and transport problems in porous media

    Béatrice Rivière;Mary F. Wheeler

  • Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity

    Béatrice Rivière;Simon Shaw;Mary F. Wheeler;J. R. Whiteman

  • A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media

    Shuyu Sun;Béatrice Rivière;Mary F. Wheeler

  • Fully implicit discontinuous finite element methods for two-phase flow

    Y. Epshteyn;B. Rivière

  • On the solution of the coupled Navier-Stokes and Darcy equations

    Prince Chidyagwai;Béatrice Rivière

  • Adaptive simulations of two-phase flow by discontinuous Galerkin methods

    W. Klieber;B. Rivière

Frequent Co-Authors

Mary F. Wheeler
Mary F. Wheeler The University of Texas at Austin
Yoram Vodovotz
Yoram Vodovotz University of Pittsburgh
Walter G. Chapman
Walter G. Chapman Rice University
Shuyu Sun
Shuyu Sun King Abdullah University of Science and Technology
Ivan Yotov
Ivan Yotov University of Pittsburgh
Steffen Berg
Steffen Berg Shell (Netherlands)
William Layton
William Layton University of Pittsburgh
David J. Hackam
David J. Hackam Johns Hopkins University School of Medicine
Jonathan E. Rubin
Jonathan E. Rubin University of Pittsburgh
Efthimios Kaxiras
Efthimios Kaxiras Harvard University

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