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Béatrice Rivière

Béatrice Rivière

D-Index & Metrics

Mathematics

D-Index
37
Citations
8102
World Ranking
2443
National Ranking
1025

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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