Beatrice Riviere

Orcid: 0000-0003-4230-2528

Affiliations:
  • Rice University, Houston, USA


According to our database1, Beatrice Riviere authored at least 71 papers between 1998 and 2023.

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Bibliography

2023
Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System.
SIAM J. Numer. Anal., December, 2023

PocketNet: A Smaller Neural Network for Medical Image Analysis.
IEEE Trans. Medical Imaging, April, 2023

Discontinuous Galerkin methods for 3D-1D systems.
CoRR, 2023

Solutions to Elliptic and Parabolic Problems via Finite Difference Based Unsupervised Small Linear Convolutional Neural Networks.
CoRR, 2023

Bound-preserving discontinuous Galerkin methods for compressible two-phase flows in porous media.
CoRR, 2023

A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system.
CoRR, 2023

FMG-Net and W-Net: Multigrid Inspired Deep Learning Architectures For Medical Imaging Segmentation.
CoRR, 2023

Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn-Hilliard problem.
CoRR, 2023

A Weighted Normalized Boundary Loss for Reducing the Hausdorff Distance in Medical Imaging Segmentation.
CoRR, 2023

2022
A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: Stability and convergence.
Math. Comput., 2022

A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows.
J. Comput. Phys., 2022

A vertex scheme for two-phase flow in heterogeneous media.
J. Comput. Phys., 2022

p-multigrid with partial smoothing: An efficient preconditioner for discontinuous Galerkin discretizations with modal bases.
J. Comput. Appl. Math., 2022

Discontinuous Galerkin Approximations to Elliptic and Parabolic Problems with a Dirac Line Source.
CoRR, 2022

A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media.
CoRR, 2022

2021
An extended DEIM algorithm for subset selection and class identification.
Mach. Learn., 2021

A finite element method for degenerate two-phase flow in porous media. Part II: Convergence.
J. Num. Math., 2021

A finite element method for degenerate two-phase flow in porous media. Part I: Well-posedness.
J. Num. Math., 2021

Nonoverlapping domain decomposition method with preconditioner from asymptotic analysis of steady flow in high contrast media.
Int. J. Comput. Math., 2021

Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations.
CoRR, 2021

Existence and convergence of a discontinuous Galerkin method for the compressible three-phase flow problem in porous media.
CoRR, 2021

Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow.
CoRR, 2021

PocketNet: A Smaller Neural Network for 3D Medical Image Segmentation.
CoRR, 2021

2020
Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems.
J. Num. Math., 2020

An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media.
J. Comput. Phys., 2020

A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant.
CoRR, 2020

Convergence of a finite element method for degenerate two-phase flow in porous media.
CoRR, 2020

Identification of kernels in a convolutional neural network: connections between the level set equation and deep learning for image segmentation.
Proceedings of the Medical Imaging 2020: Image Processing, 2020

2019
Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method.
SIAM J. Sci. Comput., 2019

An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media.
J. Comput. Phys., 2019

Data Subset Identification Using CUR Index Selection Schemes.
Proceedings of the AMIA 2019, 2019

Efficient and Robust CT Image Segmentation with a Level Set Network.
Proceedings of the AMIA 2019, 2019

2018
A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model.
J. Sci. Comput., 2018

A Sequential Discontinuous Galerkin Method for the Coupling of Flow and Geomechanics.
J. Sci. Comput., 2018

A priori error estimates of Adams-Bashforth discontinuous Galerkin Methods for scalar nonlinear conservation laws.
J. Num. Math., 2018

Finding representative electrocardiogram beat morphologies with CUR.
J. Biomed. Informatics, 2018

A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media.
CoRR, 2018

A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media.
CoRR, 2018

A splitting-based finite element method for the Biot poroelasticity system.
Comput. Math. Appl., 2018

2017
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations.
J. Comput. Appl. Math., 2017

Inexact hierarchical scale separation: A two-scale approach for linear systems from discontinuous Galerkin discretizations.
Comput. Math. Appl., 2017

Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations.
Comput. Math. Appl., 2017

A computational study of the Fontan circulation with fenestration or hepatic vein exclusion.
Comput. Biol. Medicine, 2017

2016
Strong convergence of discrete DG solutions of the heat equation.
J. Num. Math., 2016

2015
Numerical method of characteristics for one-dimensional blood flow.
J. Comput. Phys., 2015

Blood Flow Model for Improved Decision Support.
Proceedings of the AMIA 2015, 2015

Identifying ECG Features in Congenital Heart Disease Using Variants of Dynamic Time Warping.
Proceedings of the AMIA 2015, 2015

2014
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems.
J. Num. Math., 2014

2013
Multiphysics simulations: Challenges and opportunities.
Int. J. High Perform. Comput. Appl., 2013

Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients.
Int. J. Comput. Math., 2013

2011
Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity.
SIAM J. Numer. Anal., 2011

Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions.
J. Sci. Comput., 2011

On the coupling of finite volume and discontinuous Galerkin method for elliptic problems.
J. Comput. Appl. Math., 2011

2010
A strongly conservative finite element method for the coupling of Stokes and Darcy flow.
J. Comput. Phys., 2010

2009
DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition.
SIAM J. Numer. Anal., 2009

Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method.
Math. Comput. Simul., 2009

Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations.
J. Sci. Comput., 2009

Primal Discontinuous Galerkin Methods for Time-Dependent Coupled Surface and Subsurface Flow.
J. Sci. Comput., 2009

2008
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow.
J. Num. Math., 2008

Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation.
Frontiers in applied mathematics 35, SIAM, ISBN: 978-0-89871-656-6, 2008

2007
Computational methods for multiphase flows in porous media.
Math. Comput., 2007

2006
Discontinuous Galerkin Finite Element Approximation of Nonlinear Non-Fickian Diffusion in Viscoelastic Polymers.
SIAM J. Numer. Anal., 2006

Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2006

2005
Locally Conservative Coupling of Stokes and Darcy Flows.
SIAM J. Numer. Anal., 2005

A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier-Stokes Equations.
SIAM J. Numer. Anal., 2005

A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems.
Math. Comput., 2005

Analysis of a Discontinuous Finite Element Method for the Coupled Stokes and Darcy Problems.
J. Sci. Comput., 2005

2003
Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity.
Numerische Mathematik, 2003

2002
A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation.
SIAM J. Numer. Anal., 2002

2001
A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems.
SIAM J. Numer. Anal., 2001

1998
PLAPACK: High Performance through High-Level Abstraction.
Proceedings of the 1998 International Conference on Parallel Processing (ICPP '98), 1998


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