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Beatrice Riviere
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- affiliation: Rice University, Houston, USA
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2020 – today
- 2024
- [j50]Keegan L. A. Kirk
, Beatrice Riviere:
A Combined Mixed Hybrid and Hybridizable Discontinuous Galerkin Method for Darcy Flow and Transport. J. Sci. Comput. 100(2): 57 (2024) - [j49]Rami Masri, Miroslav Kuchta, Beatrice Riviere:
Discontinuous Galerkin Methods for 3D-1D Systems. SIAM J. Numer. Anal. 62(4): 1814-1843 (2024) - [j48]Chen Liu
, Beatrice Riviere
, Jie Shen
, Xiangxiong Zhang
:
A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System. SIAM J. Sci. Comput. 46(3): 1923- (2024) - 2023
- [j47]Chen Liu
, Rami Masri, Beatrice Riviere
:
Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System. SIAM J. Numer. Anal. 61(6): 2651-2694 (2023) - [j46]Adrian Celaya
, Jonas A. Actor, Rajarajeswari Muthusivarajan
, Evan D. H. Gates
, Caroline Chung, Dawid Schellingerhout
, Beatrice Riviere
, David Fuentes:
PocketNet: A Smaller Neural Network for Medical Image Analysis. IEEE Trans. Medical Imaging 42(4): 1172-1184 (2023) - [i21]Adrian Celaya, Alejandro Diaz, Alex Balsells, Beatrice Riviere, David Fuentes:
A Weighted Normalized Boundary Loss for Reducing the Hausdorff Distance in Medical Imaging Segmentation. CoRR abs/2302.03868 (2023) - [i20]Keegan L. A. Kirk, Rami Masri, Beatrice Riviere:
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn-Hilliard problem. CoRR abs/2302.13896 (2023) - [i19]Adrian Celaya, Beatrice Riviere, David Fuentes:
FMG-Net and W-Net: Multigrid Inspired Deep Learning Architectures For Medical Imaging Segmentation. CoRR abs/2304.02725 (2023) - [i18]Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang:
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system. CoRR abs/2307.09726 (2023) - [i17]M. S. Joshaghani, Beatrice Riviere:
Bound-preserving discontinuous Galerkin methods for compressible two-phase flows in porous media. CoRR abs/2309.01908 (2023) - [i16]Adrian Celaya, Keegan L. A. Kirk, David Fuentes, Beatrice Riviere:
Solutions to Elliptic and Parabolic Problems via Finite Difference Based Unsupervised Small Linear Convolutional Neural Networks. CoRR abs/2311.00259 (2023) - [i15]Rami Masri, Miroslav Kuchta, Beatrice Riviere:
Discontinuous Galerkin methods for 3D-1D systems. CoRR abs/2312.16565 (2023) - 2022
- [j45]Christopher Thiele
, Beatrice Riviere
:
p-multigrid with partial smoothing: An efficient preconditioner for discontinuous Galerkin discretizations with modal bases. J. Comput. Appl. Math. 402: 113815 (2022) - [j44]Chen Liu
, Deep Ray
, Christopher Thiele, Lu Lin
, Beatrice Riviere
:
A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. J. Comput. Phys. 449: 110769 (2022) - [j43]M. S. Joshaghani
, Vivette Girault, Beatrice Riviere
:
A vertex scheme for two-phase flow in heterogeneous media. J. Comput. Phys. 449: 110778 (2022) - [j42]Rami Masri, Chen Liu
, Beatrice Riviere:
A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: Stability and convergence. Math. Comput. 91(336): 1625-1654 (2022) - [i14]Boqian Shen, Beatrice Riviere:
A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media. CoRR abs/2201.08571 (2022) - [i13]Rami Masri, Boqian Shen, Beatrice Riviere:
Discontinuous Galerkin Approximations to Elliptic and Parabolic Problems with a Dirac Line Source. CoRR abs/2207.08421 (2022) - [i12]Chen Liu, Rami Masri, Beatrice Riviere:
Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System. CoRR abs/2210.05625 (2022) - 2021
- [j41]Liliana Borcea, Beatrice Riviere, Yingpei Wang:
Nonoverlapping domain decomposition method with preconditioner from asymptotic analysis of steady flow in high contrast media. Int. J. Comput. Math. 98(10): 2008-2024 (2021) - [j40]Vivette Girault, Beatrice Riviere, Loic Cappanera
:
A finite element method for degenerate two-phase flow in porous media. Part I: Well-posedness. J. Num. Math. 29(2): 81-101 (2021) - [j39]Vivette Girault, Beatrice Riviere, Loic Cappanera
:
A finite element method for degenerate two-phase flow in porous media. Part II: Convergence. J. Num. Math. 29(3): 187-219 (2021) - [j38]Emily P. Hendryx
, Beatrice M. Riviere, Craig G. Rusin:
An extended DEIM algorithm for subset selection and class identification. Mach. Learn. 110(4): 621-650 (2021) - [i11]M. S. Joshaghani, Vivette Girault, Beatrice Riviere:
A vertex scheme for two-phase flow in heterogeneous media. CoRR abs/2103.03285 (2021) - [i10]Adrian Celaya, Jonas A. Actor, Rajarajeswari Muthusivarajan, Evan D. H. Gates, Caroline Chung, Dawid Schellingerhout, Beatrice Riviere, David Fuentes:
PocketNet: A Smaller Neural Network for 3D Medical Image Segmentation. CoRR abs/2104.10745 (2021) - [i9]M. S. Joshaghani, Beatrice Riviere, M. Sekachev:
Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow. CoRR abs/2106.11807 (2021) - [i8]Rami Masri, Chen Liu, Beatrice Riviere:
A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence. CoRR abs/2109.10999 (2021) - [i7]Giselle Sosa Jones, Beatrice Riviere, Loic Cappanera:
Existence and convergence of a discontinuous Galerkin method for the compressible three-phase flow problem in porous media. CoRR abs/2110.08368 (2021) - [i6]Rami Masri, Chen Liu, Beatrice Riviere:
Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations. CoRR abs/2112.03903 (2021) - 2020
- [j37]Chen Liu
, Florian Frank
, Christopher Thiele
, Faruk O. Alpak, Steffen Berg
, Walter Chapman
, Beatrice Riviere
:
An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media. J. Comput. Phys. 400 (2020) - [j36]Maurice S. Fabien, Matthew G. Knepley
, Beatrice M. Riviere:
Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. J. Num. Math. 28(3): 161-174 (2020) - [c6]Jonas A. Actor, David T. Fuentes, Beatrice Riviere:
Identification of kernels in a convolutional neural network: connections between the level set equation and deep learning for image segmentation. Medical Imaging: Image Processing 2020: 1131317 - [i5]Vivette Girault, Beatrice Riviere, Loic Cappanera:
Convergence of a finite element method for degenerate two-phase flow in porous media. CoRR abs/2001.08859 (2020) - [i4]Deep Ray, Chen Liu, Beatrice Riviere:
A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant. CoRR abs/2010.01661 (2020) - [i3]Chen Liu, Deep Ray, Christopher Thiele, Lu Lin, Beatrice Riviere:
A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. CoRR abs/2010.16044 (2020)
2010 – 2019
- 2019
- [j35]Chen Liu
, Florian Frank
, Faruk O. Alpak, Beatrice Riviere:
An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media. J. Comput. Phys. 396: 669-686 (2019) - [j34]Maurice S. Fabien, Matthew G. Knepley
, Richard Tran Mills, Beatrice M. Riviere:
Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method. SIAM J. Sci. Comput. 41(2): C73-C96 (2019) - [c5]Jonas A. Actor, Beatrice Riviere, David Fuentes:
Efficient and Robust CT Image Segmentation with a Level Set Network. AMIA 2019 - [c4]Emily P. Hendryx, Nabil Chaabane, Beatrice Riviere, Craig G. Rusin:
Data Subset Identification Using CUR Index Selection Schemes. AMIA 2019 - 2018
- [j33]Nabil Chaabane, Beatrice Riviere:
A splitting-based finite element method for the Biot poroelasticity system. Comput. Math. Appl. 75(7): 2328-2337 (2018) - [j32]Emily P. Hendryx, Beatrice M. Riviere, Danny C. Sorensen, Craig G. Rusin:
Finding representative electrocardiogram beat morphologies with CUR. J. Biomed. Informatics 77: 97-110 (2018) - [j31]Charles Puelz, Beatrice Riviere:
A priori error estimates of Adams-Bashforth discontinuous Galerkin Methods for scalar nonlinear conservation laws. J. Num. Math. 26(3): 151-172 (2018) - [j30]Nabil Chaabane, Beatrice Riviere:
A Sequential Discontinuous Galerkin Method for the Coupling of Flow and Geomechanics. J. Sci. Comput. 74(1): 375-395 (2018) - [j29]Guido Kanschat
, Beatrice Riviere:
A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model. J. Sci. Comput. 77(3): 1762-1779 (2018) - [i2]Maurice S. Fabien, Matthew G. Knepley, Beatrice M. Riviere:
A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media. CoRR abs/1802.06013 (2018) - [i1]Maurice S. Fabien, Matthew G. Knepley, Beatrice M. Riviere:
A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. CoRR abs/1809.00747 (2018) - 2017
- [j28]Charles Puelz, Sebastian Acosta
, Beatrice Riviere, Daniel J. Penny, Ken M. Brady, Craig G. Rusin:
A computational study of the Fontan circulation with fenestration or hepatic vein exclusion. Comput. Biol. Medicine 89: 405-418 (2017) - [j27]Beatrice Riviere, Jun Tan, Travis Thompson
:
Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations. Comput. Math. Appl. 73(4): 666-683 (2017) - [j26]Christopher Thiele
, Mauricio Araya-Polo, Faruk O. Alpak, Beatrice Riviere, Florian Frank
:
Inexact hierarchical scale separation: A two-scale approach for linear systems from discontinuous Galerkin discretizations. Comput. Math. Appl. 74(8): 1769-1778 (2017) - [j25]Nabil Chaabane, Vivette Girault, Charles Puelz, Beatrice Riviere:
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. J. Comput. Appl. Math. 324: 25-48 (2017) - 2016
- [j24]Vivette Girault, Jizhou Li, Beatrice Riviere:
Strong convergence of discrete DG solutions of the heat equation. J. Num. Math. 24(4): 235-252 (2016) - 2015
- [j23]Sebastian Acosta
, Charles Puelz, Beatrice Riviere, Daniel J. Penny, Craig G. Rusin
:
Numerical method of characteristics for one-dimensional blood flow. J. Comput. Phys. 294: 96-109 (2015) - [c3]Emily P. Hendryx, Craig G. Rusin, Beatrice Riviere:
Identifying ECG Features in Congenital Heart Disease Using Variants of Dynamic Time Warping. AMIA 2015 - [c2]Charles Puelz, Beatrice Riviere, Craig G. Rusin:
Blood Flow Model for Improved Decision Support. AMIA 2015 - 2014
- [j22]Vivette Girault, Guido Kanschat
, Beatrice Riviere:
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. J. Num. Math. 22(2): 109-142 (2014) - 2013
- [j21]Kun Liu, Beatrice Riviere:
Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients. Int. J. Comput. Math. 90(11): 2477-2490 (2013) - [j20]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, Kate Evans, Charbel Farhat
, Ammar Hakim, Glenn Hammond
, Glen Hansen
, Judith Hill, Tobin Isaac, Xiangmin Jiao
, Kirk E. Jordan, Dinesh K. Kaushik, Efthimios Kaxiras, Alice E. Koniges
, Kihwan Lee, Aaron Lott, Qiming Lu, John Magerlein, Reed Maxwell, Michael McCourt, Miriam Mehl, Roger P. Pawlowski, Amanda Peters Randles
, Daniel R. Reynolds
, Beatrice Riviere, Ulrich Rüde
, Timothy D. Scheibe
, John N. Shadid, Brendan Sheehan, Mark S. Shephard
, Andrew R. Siegel, Barry Smith, Xianzhu Tang
, Cian Wilson
, Barbara I. Wohlmuth:
Multiphysics simulations: Challenges and opportunities. Int. J. High Perform. Comput. Appl. 27(1): 4-83 (2013) - 2011
- [j19]Prince Chidyagwai
, Ilya Mishev, Beatrice Riviere:
On the coupling of finite volume and discontinuous Galerkin method for elliptic problems. J. Comput. Appl. Math. 235(8): 2193-2204 (2011) - [j18]Thomas P. Wihler, Beatrice Riviere:
Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions. J. Sci. Comput. 46(2): 151-165 (2011) - [j17]Beatrice Riviere, Noel Walkington
:
Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity. SIAM J. Numer. Anal. 49(3): 1085-1110 (2011) - 2010
- [j16]Guido Kanschat
, Beatrice Riviere:
A strongly conservative finite element method for the coupling of Stokes and Darcy flow. J. Comput. Phys. 229(17): 5933-5943 (2010)
2000 – 2009
- 2009
- [j15]Ayçil Çesmelioglu
, Beatrice Riviere:
Primal Discontinuous Galerkin Methods for Time-Dependent Coupled Surface and Subsurface Flow. J. Sci. Comput. 40(1-3): 115-140 (2009) - [j14]Johnny Guzmán, Beatrice Riviere:
Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations. J. Sci. Comput. 40(1-3): 273-280 (2009) - [j13]Yekaterina Epshteyn, T. Khan, Beatrice Riviere:
Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Math. Comput. Simul. 79(7): 1989-2000 (2009) - [j12]Vivette Girault, Beatrice Riviere:
DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition. SIAM J. Numer. Anal. 47(3): 2052-2089 (2009) - 2008
- [b1]Beatrice Riviere:
Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation. Frontiers in applied mathematics 35, SIAM 2008, ISBN 978-0-89871-656-6, pp. I-XXII, 1-190 - [j11]Ayçil Çesmelioglu
, Beatrice Riviere:
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. J. Num. Math. 16(4): 249-280 (2008) - 2007
- [j10]Beatrice Riviere:
Computational methods for multiphase flows in porous media. Math. Comput. 76(260): 2253-2255 (2007) - 2006
- [j9]Songul Kaya
, William J. Layton, Beatrice Riviere:
Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations. SIAM J. Numer. Anal. 44(4): 1639-1654 (2006) - [j8]Beatrice Riviere, Simon Shaw
:
Discontinuous Galerkin Finite Element Approximation of Nonlinear Non-Fickian Diffusion in Viscoelastic Polymers. SIAM J. Numer. Anal. 44(6): 2650-2670 (2006) - 2005
- [j7]Beatrice Riviere:
Analysis of a Discontinuous Finite Element Method for the Coupled Stokes and Darcy Problems. J. Sci. Comput. 22(1): 479-500 (2005) - [j6]Vivette Girault, Beatrice Riviere, Mary F. Wheeler:
A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. Math. Comput. 74(249): 53-84 (2005) - [j5]Beatrice Riviere, Ivan Yotov:
Locally Conservative Coupling of Stokes and Darcy Flows. SIAM J. Numer. Anal. 42(5): 1959-1977 (2005) - [j4]Songul Kaya
, Beatrice Riviere:
A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier-Stokes Equations. SIAM J. Numer. Anal. 43(4): 1572-1595 (2005) - 2003
- [j3]Beatrice Riviere, Simon Shaw
, Mary F. Wheeler, John R. Whiteman:
Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Numerische Mathematik 95(2): 347-376 (2003) - 2002
- [j2]Eleanor W. Jenkins, Beatrice Riviere, Mary F. Wheeler:
A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation. SIAM J. Numer. Anal. 40(5): 1698-1715 (2002) - 2001
- [j1]Beatrice Riviere, Mary F. Wheeler, Vivette Girault:
A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems. SIAM J. Numer. Anal. 39(3): 902-931 (2001)
1990 – 1999
- 1998
- [c1]Gregory S. Baker, John A. Gunnels, Greg Morrow, Beatrice Riviere, Robert A. van de Geijn
:
PLAPACK: High Performance through High-Level Abstraction. ICPP 1998: 414-423
Coauthor Index
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