PLAPACK: High Performance through High-Level Abstraction. - Gregory S. Baker; John A. Gunnels; Greg Morrow; Beatrice Riviere; Robert A. van de Geijn (ICPP, 1998)

A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems. - Beatrice Riviere; Mary F. Wheeler; Vivette Girault (SIAM J. Numer. Anal., 2001)

A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation. - Eleanor W. Jenkins; Beatrice Riviere; Mary F. Wheeler (SIAM J. Numer. Anal., 2002)

Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. - Beatrice Riviere; Simon Shaw; Mary F. Wheeler; John R. Whiteman (Numerische Mathematik, 2003)

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

A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. - Vivette Girault; Beatrice Riviere; Mary F. Wheeler (Math. Comput., 2005)

A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier-Stokes Equations. - Songul Kaya; Beatrice Riviere (SIAM J. Numer. Anal., 2005)

Locally Conservative Coupling of Stokes and Darcy Flows. - Beatrice Riviere; Ivan Yotov (SIAM J. Numer. Anal., 2005)

Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations. - Songul Kaya; William J. Layton; Beatrice Riviere (SIAM J. Numer. Anal., 2006)

Discontinuous Galerkin Finite Element Approximation of Nonlinear Non-Fickian Diffusion in Viscoelastic Polymers. - Beatrice Riviere; Simon Shaw (SIAM J. Numer. Anal., 2006)

Computational methods for multiphase flows in porous media. - Beatrice Riviere (Math. Comput., 2007)

Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation. - Beatrice Riviere (SIAM, 2008)

Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. - Ayçil Çesmelioglu; Beatrice Riviere (J. Num. Math., 2008)

Primal Discontinuous Galerkin Methods for Time-Dependent Coupled Surface and Subsurface Flow. - Ayçil Çesmelioglu; Beatrice Riviere (J. Sci. Comput., 2009)

Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations. - Johnny Guzmán; Beatrice Riviere (J. Sci. Comput., 2009)

Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. - Yekaterina Epshteyn; T. Khan; Beatrice Riviere (Math. Comput. Simul., 2009)

DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition. - Vivette Girault; Beatrice Riviere (SIAM J. Numer. Anal., 2009)

A strongly conservative finite element method for the coupling of Stokes and Darcy flow. - Guido Kanschat; Beatrice Riviere (J. Comput. Phys., 2010)

On the coupling of finite volume and discontinuous Galerkin method for elliptic problems. - Prince Chidyagwai; Ilya Mishev; Beatrice Riviere (J. Comput. Appl. Math., 2011)

Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions. - Thomas P. Wihler; Beatrice Riviere (J. Sci. Comput., 2011)

Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity. - Beatrice Riviere; Noel Walkington (SIAM J. Numer. Anal., 2011)

Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients. - Kun Liu; Beatrice Riviere (Int. J. Comput. Math., 2013)

Multiphysics simulations: Challenges and opportunities. - David E. Keyes; Lois C. McInnes; Carol S. Woodward; William Gropp; Eric Myra; Michael Pernice; John B. Bell; Jed Brown; Alain Clo; Jeffrey M. Connors; Emil M. Constantinescu; Donald J. Estep; et al. (Int. J. High Perform. Comput. Appl., 2013)

Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. - Vivette Girault; Guido Kanschat; Beatrice Riviere (J. Num. Math., 2014)

Identifying ECG Features in Congenital Heart Disease Using Variants of Dynamic Time Warping. - Emily P. Hendryx; Craig G. Rusin; Beatrice Riviere (AMIA, 2015)

Blood Flow Model for Improved Decision Support. - Charles Puelz; Beatrice Riviere; Craig G. Rusin (AMIA, 2015)

Numerical method of characteristics for one-dimensional blood flow. - Sebastian Acosta; Charles Puelz; Beatrice Riviere; Daniel J. Penny; Craig G. Rusin (J. Comput. Phys., 2015)

Strong convergence of discrete DG solutions of the heat equation. - Vivette Girault; Jizhou Li; Beatrice Riviere (J. Num. Math., 2016)

A computational study of the Fontan circulation with fenestration or hepatic vein exclusion. - Charles Puelz; Sebastian Acosta; Beatrice Riviere; Daniel J. Penny; Ken M. Brady; Craig G. Rusin (Comput. Biol. Medicine, 2017)

Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations. - Beatrice Riviere; Jun Tan; Travis B. Thompson (Comput. Math. Appl., 2017)

Inexact hierarchical scale separation: A two-scale approach for linear systems from discontinuous Galerkin discretizations. - Christopher Thiele; Mauricio Araya-Polo; Faruk O. Alpak; Beatrice Riviere; Florian Frank 001 (Comput. Math. Appl., 2017)

Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. - Nabil Chaabane; Vivette Girault; Charles Puelz; Beatrice Riviere (J. Comput. Appl. Math., 2017)

A splitting-based finite element method for the Biot poroelasticity system. - Nabil Chaabane; Beatrice Riviere (Comput. Math. Appl., 2018)

A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media. - Maurice S. Fabien; Matthew G. Knepley; Beatrice M. Riviere (CoRR, 2018)

A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. - Maurice S. Fabien; Matthew G. Knepley; Beatrice M. Riviere (CoRR, 2018)

Finding representative electrocardiogram beat morphologies with CUR. - Emily P. Hendryx; Beatrice M. Riviere; Danny C. Sorensen; Craig G. Rusin (J. Biomed. Informatics, 2018)

A priori error estimates of Adams-Bashforth discontinuous Galerkin Methods for scalar nonlinear conservation laws. - Charles Puelz; Beatrice Riviere (J. Num. Math., 2018)

A Sequential Discontinuous Galerkin Method for the Coupling of Flow and Geomechanics. - Nabil Chaabane; Beatrice Riviere (J. Sci. Comput., 2018)

A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model. - Guido Kanschat; Beatrice Riviere (J. Sci. Comput., 2018)

Efficient and Robust CT Image Segmentation with a Level Set Network. - Jonas A. Actor; Beatrice Riviere; David Fuentes 001 (AMIA, 2019)

Data Subset Identification Using CUR Index Selection Schemes. - Emily P. Hendryx; Nabil Chaabane; Beatrice Riviere; Craig G. Rusin (AMIA, 2019)

An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media. - Chen Liu 015; Florian Frank 001; Faruk O. Alpak; Beatrice Riviere (J. Comput. Phys., 2019)

Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method. - Maurice S. Fabien; Matthew G. Knepley; Richard Tran Mills; Beatrice M. Riviere (SIAM J. Sci. Comput., 2019)

Identification of kernels in a convolutional neural network: connections between the level set equation and deep learning for image segmentation. - Jonas A. Actor; David T. Fuentes; Beatrice Riviere (Image Processing, 2020)

Convergence of a finite element method for degenerate two-phase flow in porous media. - Vivette Girault; Beatrice Riviere; Loic Cappanera (CoRR, 2020)

A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant. - Deep Ray; Chen Liu 015; Beatrice Riviere (CoRR, 2020)

An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media. - Chen Liu 015; Florian Frank 001; Christopher Thiele; Faruk O. Alpak; Steffen Berg; Walter Chapman; Beatrice Riviere (J. Comput. Phys., 2020)

Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. - Maurice S. Fabien; Matthew G. Knepley; Beatrice M. Riviere (J. Num. Math., 2020)

PocketNet: A Smaller Neural Network for 3D Medical Image Segmentation. - Adrian Celaya; Jonas A. Actor; Rajarajeswari Muthusivarajan; Evan D. H. Gates; Caroline Chung; Dawid Schellingerhout; Beatrice Riviere; David Fuentes 001 (CoRR, 2021)

Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow. - M. S. Joshaghani; Beatrice Riviere; M. Sekachev (CoRR, 2021)

Existence and convergence of a discontinuous Galerkin method for the compressible three-phase flow problem in porous media. - Giselle Sosa Jones; Beatrice Riviere; Loic Cappanera (CoRR, 2021)

Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations. - Rami Masri; Chen Liu 015; Beatrice Riviere (CoRR, 2021)

Nonoverlapping domain decomposition method with preconditioner from asymptotic analysis of steady flow in high contrast media. - Liliana Borcea; Beatrice Riviere; Yingpei Wang (Int. J. Comput. Math., 2021)

A finite element method for degenerate two-phase flow in porous media. Part I: Well-posedness. - Vivette Girault; Beatrice Riviere; Loic Cappanera (J. Num. Math., 2021)

A finite element method for degenerate two-phase flow in porous media. Part II: Convergence. - Vivette Girault; Beatrice Riviere; Loic Cappanera (J. Num. Math., 2021)

An extended DEIM algorithm for subset selection and class identification. - Emily P. Hendryx; Beatrice M. Riviere; Craig G. Rusin (Mach. Learn., 2021)

A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media. - Boqian Shen; Beatrice Riviere (CoRR, 2022)

Discontinuous Galerkin Approximations to Elliptic and Parabolic Problems with a Dirac Line Source. - Rami Masri; Boqian Shen; Beatrice Riviere (CoRR, 2022)

p-multigrid with partial smoothing: An efficient preconditioner for discontinuous Galerkin discretizations with modal bases. - Christopher Thiele; Beatrice Riviere (J. Comput. Appl. Math., 2022)

A vertex scheme for two-phase flow in heterogeneous media. - M. S. Joshaghani; Vivette Girault; Beatrice Riviere (J. Comput. Phys., 2022)

A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. - Chen Liu 015; Deep Ray; Christopher Thiele; Lu Lin; Beatrice Riviere (J. Comput. Phys., 2022)

A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: Stability and convergence. - Rami Masri; Chen Liu 015; Beatrice Riviere (Math. Comput., 2022)

A Weighted Normalized Boundary Loss for Reducing the Hausdorff Distance in Medical Imaging Segmentation. - Adrian Celaya; Alejandro Diaz; Alex Balsells; Beatrice Riviere; David Fuentes 001 (CoRR, 2023)

Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn-Hilliard problem. - Keegan L. A. Kirk; Rami Masri; Beatrice Riviere (CoRR, 2023)

FMG-Net and W-Net: Multigrid Inspired Deep Learning Architectures For Medical Imaging Segmentation. - Adrian Celaya; Beatrice Riviere; David Fuentes 001 (CoRR, 2023)

Bound-preserving discontinuous Galerkin methods for compressible two-phase flows in porous media. - M. S. Joshaghani; Beatrice Riviere (CoRR, 2023)

PocketNet: A Smaller Neural Network for Medical Image Analysis. - Adrian Celaya; Jonas A. Actor; Rajarajeswari Muthusivarajan; Evan D. H. Gates; Caroline Chung; Dawid Schellingerhout; Beatrice Riviere; David Fuentes 001 (IEEE Trans. Medical Imaging, 2023)

Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System. - Chen Liu 015; Rami Masri; Beatrice Riviere (SIAM J. Numer. Anal., 2023)

Solutions to elliptic and parabolic problems via finite difference based unsupervised small linear convolutional neural networks. - Adrian Celaya; Keegan L. A. Kirk; David Fuentes 001; Beatrice Riviere (Comput. Math. Appl., 2024)

MIST: A Simple and Scalable End-To-End 3D Medical Imaging Segmentation Framework. - Adrian Celaya; Evan Lim; Rachel Glenn; Brayden Mi; Alex Balsells; Tucker J. Netherton; Caroline Chung; Beatrice Riviere; David Fuentes 001 (CoRR, 2024)

Discontinuous Galerkin Methods for 3D-1D Systems. - Rami Masri; Miroslav Kuchta; Beatrice Riviere (SIAM J. Numer. Anal., 2024)

A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System. - Chen Liu 015; Beatrice Riviere; Jie Shen 001; Xiangxiong Zhang (SIAM J. Sci. Comput., 2024)

A Combined Mixed Hybrid and Hybridizable Discontinuous Galerkin Method for Darcy Flow and Transport. - Keegan L. A. Kirk; Beatrice Riviere (J. Sci. Comput., 2024)

An Adaptive Collocation Point Strategy For Physics Informed Neural Networks via the QR Discrete Empirical Interpolation Method. - Adrian Celaya; David Fuentes 001; Beatrice Riviere (CoRR, 2025)

Learning Discontinuous Galerkin Solutions to Elliptic Problems via Small Linear Convolutional Neural Networks. - Adrian Celaya; Yimo Wang; David Fuentes 001; Beatrice Riviere (CoRR, 2025)

A Priori Generalizability Estimate for a CNN. - Cito Balsells; Beatrice Riviere; David Fuentes 001 (CoRR, 2025)

A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem Under Minimal Regularity. - Keegan L. A. Kirk; Beatrice Riviere (CoRR, 2025)

Pre- and Post-Treatment Glioma Segmentation with the Medical Imaging Segmentation Toolkit. - Adrian Celaya; Tucker J. Netherton; Dawid Schellingerhout; Caroline Chung; Beatrice Riviere; David Fuentes 001 (CoRR, 2025)