Beatrice Riviere
Orcid: 0000-0003-4230-2528Affiliations:
- Rice University, Houston, USA
According to our database1,
Beatrice Riviere
authored at least 73 papers
between 1998 and 2024.
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Bibliography
2024
A Combined Mixed Hybrid and Hybridizable Discontinuous Galerkin Method for Darcy Flow and Transport.
J. Sci. Comput., August, 2024
A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System.
SIAM J. Sci. Comput., 2024
CoRR, 2024
Solutions to elliptic and parabolic problems via finite difference based unsupervised small linear convolutional neural networks.
Comput. Math. Appl., 2024
2023
Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System.
SIAM J. Numer. Anal., December, 2023
IEEE Trans. Medical Imaging, April, 2023
Bound-preserving discontinuous Galerkin methods for compressible two-phase flows in porous media.
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
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
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
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
Proceedings of the AMIA 2019, 2019
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
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
Comput. Math. Appl., 2018
2017
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
J. Num. Math., 2016
2015
J. Comput. Phys., 2015
Identifying ECG Features in Congenital Heart Disease Using Variants of Dynamic Time Warping.
Proceedings of the AMIA 2015, 2015
2014
J. Num. Math., 2014
2013
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
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
2006
Discontinuous Galerkin Finite Element Approximation of Nonlinear Non-Fickian Diffusion in Viscoelastic Polymers.
SIAM J. Numer. Anal., 2006
SIAM J. Numer. Anal., 2006
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
Proceedings of the 1998 International Conference on Parallel Processing (ICPP '98), 1998