Beatrice Rivière
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French applied mathematician
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Why Is Beatrice Rivière Influential?
(Suggest an Edit or Addition)According to Wikipedia, Beatrice Marie Riviere is a computational and applied mathematician. She is the Noah Harding Chair and Professor in the department of computational and applied mathematics at Rice University. Her research involves developing efficient numerical methods for modeling fluids flowing through porous media.
Beatrice Rivière's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation (2008) (840)
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I (1999) (425)
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems (2001) (388)
- Computational methods for multiphase flows in porous media (2007) (290)
- Locally Conservative Coupling of Stokes and Darcy Flows (2004) (254)
- DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition (2009) (227)
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems (2004) (225)
- Multiphysics simulations (2013) (177)
- Estimation of penalty parameters for symmetric interior penalty Galerkin methods (2007) (166)
- Analysis of a Discontinuous Finite Element Method for the Coupled Stokes and Darcy Problems (2005) (162)
- Multiphysics simulations: Challenges and opportunities (2013) (154)
- Agent‐based model of inflammation and wound healing: insights into diabetic foot ulcer pathology and the role of transforming growth factor‐β1 (2007) (144)
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow (2010) (144)
- A Discontinuous Galerkin Method Applied to Nonlinear Parabolic Equations (2000) (122)
- A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media (2002) (109)
- Superconvergence and H(div) projection for discontinuous Galerkin methods (2003) (107)
- On the solution of the coupled Navier–Stokes and Darcy equations (2009) (101)
- Part II. Discontinuous Galerkin method applied to a single phase flow in porous media (2000) (96)
- Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity (2003) (96)
- A Posteriori error estimates for a discontinuous galerkin method applied to elliptic problems. Log number: R74 (2003) (95)
- Discontinuous Galerkin methods for flow and transport problems in porous media (2001) (93)
- Primal Discontinuous Galerkin Methods for Time-Dependent Coupled Surface and Subsurface Flow (2009) (91)
- Fully implicit discontinuous finite element methods for two-phase flow (2007) (84)
- Adaptive simulations of two-phase flow by discontinuous Galerkin methods (2006) (76)
- Analysis of time-dependent Navier–Stokes flow coupled with Darcy flow (2008) (71)
- A two‐grid stabilization method for solving the steady‐state Navier‐Stokes equations (2006) (70)
- A phase-field method for the direct simulation of two-phase flows in pore-scale media using a non-equilibrium wetting boundary condition (2016) (69)
- Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations (2006) (62)
- A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation (2002) (57)
- Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems (2007) (52)
- Time-dependent coupling of Navier–Stokes and Darcy flows (2013) (52)
- A SPLITTING METHOD USING DISCONTINUOUS GALERKIN FOR THE TRANSIENT INCOMPRESSIBLE NAVIER-STOKES EQUATIONS (2005) (52)
- Analysis of hp discontinuous Galerkin methods for incompressible two-phase flow (2009) (47)
- A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier-Stokes Equations (2005) (46)
- Discontinuous Galerkin Finite Element Approximation of Nonlinear Non-Fickian Diffusion in Viscoelastic Polymers (2006) (44)
- Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces (2006) (40)
- Agent-based model of inflammation and wound healing: insights into diabetic foot ulcer pathology and the role of transforming growth factor-beta1. (2007) (39)
- A simple mathematical model of signaling resulting from the binding of lipopolysaccharide with Toll-like receptor 4 demonstrates inherent preconditioning behavior. (2009) (39)
- A finite volume / discontinuous Galerkin method for the advective Cahn–Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging (2016) (36)
- A Finite Element Method with Strong Mass Conservation for Biot’s Linear Consolidation Model (2017) (35)
- A two-grid method for coupled free flow with porous media flow (2011) (33)
- Numerical modelling of coupled surface and subsurface flow systems (2010) (33)
- PLAPACK: high performance through high-level abstraction (1998) (33)
- Existence of a weak solution for the fully coupled Navier–Stokes/Darcy-transport problem (2012) (33)
- Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity (2011) (32)
- Direct Numerical Simulation of Flow on Pore-Scale Images Using the Phase-Field Method (2018) (28)
- High order discontinuous Galerkin method for simulating miscible flooding in porous media (2015) (28)
- Numerical method of characteristics for one-dimensional blood flow (2014) (28)
- Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions (2011) (28)
- Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations (2009) (26)
- Error analysis for a monolithic discretization of coupled Darcy and Stokes problems (2014) (26)
- Discontinuous Galerkin Method for Modeling Flow and Reactive Transport in Porous Media (2003) (26)
- On the solution of incompressible two-phase flow by a p-version discontinuous Galerkin method (2005) (26)
- Discontinuous Finite Element Methods for Coupled Surface–Subsurface Flow and Transport Problems (2010) (25)
- Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods. (2015) (24)
- DISCONTINUOUS GALERKIN METHODS FOR CONVECTION-DIFFUSION EQUATIONS FOR VARYING AND VANISHING DIFFUSIVITY (2009) (22)
- Numerical solutions of the incompressible miscible displacement equations in heterogeneous media (2015) (22)
- Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations (2017) (21)
- An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media (2020) (19)
- An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods. (2017) (18)
- One-dimensional elastic continuum model of enterocyte layer migration. (2007) (18)
- Coupling Locally Conservative Methods for Single Phase Flow (2002) (18)
- A hybridizable discontinuous Galerkin method for two‐phase flow in heterogeneous porous media (2018) (18)
- Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method (2019) (18)
- Optimal Error Estimates for Discontinuous Galerkin Methods Applied to Linear Elasticity Problems (2000) (17)
- One-Dimensional Elastic Continuum Model of Enterocyte Layer Migration (2007) (17)
- Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations (2017) (17)
- On the Constants in Inverse Inequalities in L 2 (2010) (16)
- Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation (2019) (15)
- Numerical Modeling of Miscible Viscous Fingering Instabilities by High-Order Methods (2016) (15)
- An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media (2018) (14)
- On the coupling of finite volume and discontinuous Galerkin method for elliptic problems (2011) (14)
- Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients (2013) (14)
- A mathematical model of intestinal oedema formation. (2014) (13)
- A high order method for solving the black-oil problem in porous media (2015) (13)
- Cardiovascular mechanics in the early stages of pulmonary hypertension: a computational study (2017) (13)
- Finding representative electrocardiogram beat morphologies with CUR (2018) (12)
- Convergence of a high order method in time and space for the miscible displacement equations (2015) (12)
- On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media (2013) (11)
- A splitting-based finite element method for the Biot poroelasticity system (2017) (11)
- Inexact hierarchical scale separation: A two-scale approach for linear systems from discontinuous Galerkin discretizations (2017) (11)
- A computational study of the Fontan circulation with fenestration or hepatic vein exclusion (2017) (10)
- Penalty-free discontinuous Galerkin methods for incompressible Navier–Stokes equations (2014) (9)
- Locally Conservative Algorithms for Flow (2000) (9)
- Strong convergence of discrete DG solutions of the heat equation (2016) (9)
- Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations (2017) (8)
- A Sequential Discontinuous Galerkin Method for the Coupling of Flow and Geomechanics (2018) (8)
- A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media (2018) (7)
- A finite element method for degenerate two-phase flow in porous media. Part II: Convergence (2021) (7)
- A stable enriched Galerkin element for the Stokes problem (2018) (7)
- Analysis of a Multi-Numerics/Multi-Physics Problem (2004) (7)
- Identification of kernels in a convolutional neural network: connections between the level set equation and deep learning for image segmentation (2020) (7)
- Discontinuous Galerkin method for solving the black‐oil problem in porous media (2018) (7)
- A semi-implicit method for incompressible three-phase flow in porous media (2016) (6)
- Mathematical Simulations of Sepsis and Trauma (2005) (6)
- Heterogeneous computing for a hybridizable discontinuous Galerkin geometric multigrid method (2017) (6)
- A finite element method for degenerate two-phase flow in porous media. Part I: Well-posedness (2021) (6)
- Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems (2019) (5)
- A reduced model for solute transport in compliant blood vessels with arbitrary axial velocity profile (2019) (5)
- A weak solution and a multinumerics solution of the coupled Navier-Stokes and Darcy equations (5)
- Book Review: Computational methods for multiphase flows in porous media (2007) (5)
- Mass-Conserved Density Gradient Theory Model for Nucleation Process (2018) (5)
- An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine. (2019) (5)
- Numerical analysis of a discontinuous Galerkin method for Cahn-Hilliard-Navier-Stokes equations. (2018) (4)
- Analysis of Weak Solutions For the Fully Coupled Stokes-Darcy-Transport Problem (2009) (4)
- An extended DEIM algorithm for subset selection and class identification (2021) (4)
- On the Coupling of Finite Volume and Discontinuous Galerkin for Reservoir Simulation Problems (2011) (4)
- A Discontinuous Galerkin Finite Element Framework for the Direct Numerical Simulation of Flow on High-Resolution Pore-Scale Images (2017) (4)
- ANALYTICAL AND NUMERICAL STUDY OF DIFFUSIVE FLUXES FOR TRANSPORT EQUATIONS WITH NEAR-DEGENERATE COEFFICIENTS (4)
- Convergence of a Discontinuous Galerkin Method For the Miscible Displacement Under Minimal Regularity (2009) (3)
- Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method (2009) (3)
- Convergence analysis of a coupled method for time‐dependent convection‐diffusion equations (2014) (3)
- A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence (2021) (3)
- A multinumerics scheme for incompressible two-phase flow (2020) (3)
- A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows (2020) (3)
- Inexact Hierarchical Scale Separation: An Efficient Linear Solver for Discontinuous Galerkin Discretizations (2017) (3)
- PocketNet: A Smaller Neural Network for Medical Image Analysis (2021) (2)
- Analysis of a discontinuous Galerkin and eddy viscosity method for Navier-Stokes Songul Kaya (2003) (2)
- Mathematical modeling of mass and energy transport for thermoembolization (2020) (2)
- A comprehensive mathematical framework for modeling intestinal smooth muscle cell contraction with applications to intestinal edema. (2015) (2)
- Convergence of a finite element method for degenerate two-phase flow in porous media (2020) (2)
- Imaging-based characterization of convective tissue properties (2020) (2)
- A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant (2020) (2)
- INVERSE PROBLEM IN OPTICAL TOMOGRAPHY USING DISCONTINUOUS (2)
- The Development of a Computational, Poroelastic Model of Intestinal Edema (2011) (1)
- A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media (2022) (1)
- A DG Method for the Simulation of CO 2 Storage in Saline Aquifer (2017) (1)
- Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System (2022) (1)
- p-multigrid with partial smoothing: An efficient preconditioner for discontinuous Galerkin discretizations with modal bases (2022) (1)
- A simple mathematical model of lipopolysaccharide signaling through toll-like receptor 4 results in complex insights on preconditioning (2007) (1)
- Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations (2021) (1)
- A Discontinuous Galerkin Method for Blood Flow and Solute Transport in One-Dimensional Vessel Networks (2021) (1)
- A priori error estimates of Adams-Bashforth discontinuous Galerkin Methods for scalar nonlinear conservation laws (2017) (1)
- Distributed Parallel Hybrid CPU-GPGPU Implementation of the Phase-Field Method for Accelerated High-Accuracy Simulations of Pore-Scale Two-Phase Flow (2019) (1)
- Flexible Discretizations of the Three-Component Three-Phase Flow Problem (2019) (1)
- Numerical Error Quantification of Agent-Based Models as Applied to Oil Reservoir Simulation (2019) (0)
- Identifying ECG Features in Congenital Heart Disease Using Variants of Dynamic Time Warping (2015) (0)
- Symmetric Interior Penalty Galerkin Method for Elliptic Problems (0)
- Computational Science Issues in Modeling Oil and Gas Production (2002) (0)
- 6. Stokes Flow (2008) (0)
- Cardiovascular mechanics in the early stages of pulmonary hypertension: a computational study (2017) (0)
- Efficient and Robust CT Image Segmentation with a Level Set Network (2019) (0)
- Mathematical Problems in Imaging in Random Media (2015) (0)
- Weak scalability analysis of GPGPU-based iterative solvers in a two-phase pore-scale flow simulator (2019) (0)
- SUBGRID STABILIZED DEFECT CORRECTION METHODS FOR (2006) (0)
- Discontinuous Galerkin Approximations to Elliptic and Parabolic Problems with a Dirac Line Source (2022) (0)
- 7. Navier—Stokes Flow (2008) (0)
- Data Subset Identification Using CUR Index Selection Schemes (2019) (0)
- 5. Linear Elasticity (2008) (0)
- Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow (2021) (0)
- 1. One-Dimensional Problem (2008) (0)
- PocketNet: A Smaller Neural Network for 3D Medical Image Segmentation (2021) (0)
- Nonoverlapping domain decomposition method with preconditioner from asymptotic analysis of steady flow in high contrast media (2021) (0)
- Blood Flow Model for Improved Decision Support (2015) (0)
- Complex flow and transport phenomena in porous media (2010) (0)
- Analysis of Two Mathematical Models for the Coupled Navier-Stokes/Darcy Problem (2009) (0)
- A vertex scheme for two-phase flow in heterogeneous media (2021) (0)
- A discontinuous Galerkin method for the Stolz–Adams approximate deconvolution model for turbulent flows (2020) (0)
- A Sequential Discontinuous Galerkin Method for the Coupling of Flow and Geomechanics (2017) (0)
- 4. Parabolic Problems with Convection (2008) (0)
- 8. Flow in Porous Media (2008) (0)
- 3. Purely Parabolic Problems (2008) (0)
- A Weighted Normalized Boundary Loss for Reducing the Hausdorff Distance in Medical Imaging Segmentation (2023) (0)
- Theory and Applications of Discontinuous Galerkin Methods (2012) (0)
- FMG-Net and W-Net: Multigrid Inspired Deep Learning Architectures For Medical Imaging Segmentation (2023) (0)
- for time-dependent Navier-Stokes equations by John and Kaya [ 13 ] for the continuous finite element method and by Kaya and Rivière (2004) (0)
- A Domain-Based Multinumeric Method for the Steady-State Convection-Diffusion Equation (2014) (0)
- A Finite Element Method with Strong Mass Conservation for Biot’s Linear Consolidation Model (2018) (0)
- HIGH ORDER APPROXIMATIONS OF RESERVOIR FLOWS (2013) (0)
- Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn-Hilliard problem (2023) (0)
- Existence and convergence of a discontinuous Galerkin method for the compressible three-phase flow problem in porous media (2021) (0)
- 2. Higher Dimensional Problem (2008) (0)
- RICE UNIVERSITY By A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE APPROVED, THESIS COMMITTEE HOUSTON, TEXAS (0)
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