Edit Profile (opens in new tab) Rivière, Beatrice M. Co-Author Distance Author ID: riviere.beatrice-m Published as: Rivière, Béatrice; Riviere, Beatrice; Rivière, B.; Rivière, Béatrice M.; Rivière, Beatrice; Riviere, Beatrice M.; Rivière, Beatrice M.; Riviere, B. more...less Homepage: https://compm.rice.edu/people-2/beatrice-riviere/ External Links: MGP · ORCID · Wikidata · Google Scholar · IdRef · theses.fr Documents Indexed: 106 Publications since 1999, including 1 Book and 6 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 73 Co-Authors with 101 Joint Publications 2,095 Co-Co-Authors all top 5 Co-Authors 4 single-authored 16 Wheeler, Mary Fanett 15 Girault, Vivette 11 Liu, Chen 7 Epshteyn, Yekaterina 6 Frank, Florian 6 Masri, Rami 5 Alpak, Faruk Omer 5 Chaabane, Nabil 5 Li, Jizhou 5 Puelz, Charles 4 Cappanera, Loïc 4 Çeşmelioğlu, Ayçıl 4 Knepley, Matthew G. 4 Thiele, Christopher 3 Fabien, Maurice S. 3 Joshaghani, M. S. 3 Kanschat, Guido 3 Kaya, Songul 3 Rusin, Craig G. 3 Thompson, Travis B. 2 Chidyagwai, Prince 2 Kirk, Keegan L. A. 2 Ray, Deep 2 Shen, Boqian 2 Sun, Shuyu 2 Walkington, Noel J. 2 Whiteman, John Robert 2 Yang, Xin 2 Young, Jennifer 1 Acosta, Sebastian 1 Araya-Polo, Mauricio 1 Banaś, Krzysztof 1 Bastian, Peter 1 Berg, Steffen 1 Borcea, Liliana 1 Brenner, Susanne Cecelia 1 Calandra, Henri 1 Čanić, Sunčica 1 Celaya, Adrian 1 Chapman, Walter G. 1 Cox, Charles S. jun. 1 Dong, Justin 1 Doyle, Bryan 1 Eslinger, Owen 1 Fuentes, David 1 Guzmán, Johnny 1 Hendryx, Emily P. 1 Hoppe, Ronald H. W. 1 Jenkins, Eleanor W. 1 Klieber, William 1 Kuchta, Miroslav 1 Layton, William J. 1 Lin, Lu 1 Liu, Kun 1 Masi, Rami 1 Mills, Richard Tran 1 Mishev, Ilya D. 1 Neda, Monika 1 Ozisik, Sevtap 1 Penny, Daniel J. 1 Proft, Jennifer 1 Sardar, Shirin 1 Sekachev, Michael 1 Sekachev, Mikhail 1 Shamim, Muhammad 1 Sosa Jones, Giselle 1 Swigon, David 1 Tan, Jun 1 Uray, Karen 1 Vodovotz, Yoram 1 Wang, Yingpei 1 Wihler, Thomas Pascal 1 Yotov, Ivan 1 Zhang, Xiangxiong all top 5 Serials 9 SIAM Journal on Numerical Analysis 8 Computational Geosciences 7 Computer Methods in Applied Mechanics and Engineering 7 Numerical Methods for Partial Differential Equations 7 Journal of Numerical Mathematics 6 Journal of Computational Physics 6 Journal of Scientific Computing 5 Journal of Computational and Applied Mathematics 4 Computers & Mathematics with Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Applied Numerical Mathematics 2 Mathematical Biosciences 2 Mathematics of Computation 2 International Journal of Computer Mathematics 2 Communications in Numerical Methods in Engineering 2 Mathematical Medicine and Biology 2 International Journal of Numerical Analysis and Modeling 2 Results in Applied Mathematics 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Machine Learning 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Scientific Computing 1 Oberwolfach Reports 1 Frontiers in Applied Mathematics 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Fields 84 Numerical analysis (65-XX) 68 Fluid mechanics (76-XX) 35 Partial differential equations (35-XX) 12 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 8 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 2,934 times in 1,663 Documents Cited by ▼ Year ▼ Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112 Rivière, Béatrice 489 2008 A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045 Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 201 2001 Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Zbl 0951.65108 Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 198 1999 Locally conservative coupling of Stokes and Darcy flows. Zbl 1084.35063 Rivière, Béatrice; Yotov, Ivan 149 2005 DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082 Girault, Vivette; Rivière, Béatrice 147 2009 A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. Zbl 1057.35029 Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 110 2005 Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143 Rivière, Béatrice 97 2005 A strongly conservative finite element method for the coupling of Stokes and Darcy flow. Zbl 1425.76068 Kanschat, G.; Rivière, B. 92 2010 Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078 Çeşmelioğlu, Ayçıl; Rivière, Béatrice 64 2009 Estimation of penalty parameters for symmetric interior penalty Galerkin methods. Zbl 1141.65078 Epshteyn, Yekaterina; Rivière, Béatrice 63 2007 On the solution of the coupled Navier-Stokes and Darcy equations. Zbl 1230.76023 Chidyagwai, Prince; Rivière, Béatrice 63 2009 Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039 Rivière, Béatrice; Wheeler, Mary F. 55 2003 A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098 Rivière, B.; Wheeler, M. F. 55 2003 Superconvergence and \(H(div)\) projection for discontinuous Galerkin methods. Zbl 1030.76026 Bastian, Peter; Rivière, Béatrice 54 2003 Subgrid stabilized defect correction methods for the Navier-Stokes equations. Zbl 1124.76029 Kaya, Songul; Layton, William; Rivière, Béatrice 53 2006 Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010 Çeşmelioğlu, A.; Rivière, B. 52 2008 A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media. Zbl 1060.76072 Sun, Shuyu; Rivière, Béatrice; Wheeler, Mary F. 52 2002 Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114 Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert 52 2003 Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056 Rivière, Béatrice; Wheeler, Mary F. 50 2002 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034 Kaya, Songul; Rivière, Béatrice 47 2006 A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078 Rivière, Béatrice; Wheeler, Mary F. 44 2000 Fully implicit discontinuous finite element methods for two-phase flow. Zbl 1370.76085 Epshteyn, Y.; Rivière, B. 40 2007 Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096 Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice 40 2013 A priori error estimates for mixed finite element approximations of the acoustic wave equation. Zbl 1093.76036 Jenkins, Eleanor W.; Rivière, Béatrice; Wheeler, Mary F. 36 2002 Adaptive simulations of two-phase flow by discontinuous Galerkin methods. Zbl 1120.76327 Klieber, W.; Rivière, B. 34 2006 Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565 Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof 33 2000 Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045 Rivière, Béatrice; Shaw, Simon; Whiteman, J. R. 32 2007 A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. Zbl 1096.76026 Kaya, Songul; Rivière, Béatrice 26 2005 A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037 Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 25 2005 Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-transport problem. Zbl 1234.35178 Çeşmelioğlu, Ayçıl; Rivière, Béatrice 22 2012 Analysis of \(hp\) discontinuous Galerkin methods for incompressible two-phase flow. Zbl 1157.76024 Epshteyn, Yekaterina; Rivière, Beatrice 20 2009 A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging. Zbl 1405.65104 Frank, Florian; Liu, Chen; Alpak, Faruk O.; Riviere, Beatrice 20 2018 Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations. Zbl 1368.65195 Rivière, Béatrice; Tan, Jun; Thompson, Travis 18 2017 Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038 Rivière, Béatrice; Girault, Vivette 17 2006 Convergence of a discontinuous Galerkin method for the miscible displacement equation under low regularity. Zbl 1414.76036 Rivière, Beatrice M.; Walkington, Noel J. 17 2011 A phase-field method for the direct simulation of two-phase flows in pore-scale media using a non-equilibrium wetting boundary condition. Zbl 1391.76797 Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian 17 2016 Discontinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions. Zbl 1228.65227 Wihler, Thomas P.; Rivière, Béatrice 16 2011 Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176 Wheeler, Mary F.; Sun, Shuyu; Eslinger, Owen; Rivière, Béatrice 16 2003 Non-conforming methods for transport with nonlinear reaction. Zbl 1068.76053 Rivière, Béatrice; Wheeler, Mary F. 16 2002 Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations. Zbl 1203.65255 Guzmán, Johnny; Rivière, Béatrice 15 2009 Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers. Zbl 1135.65036 Rivière, Béatrice; Shaw, Simon 15 2006 Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101 Girault, V.; Kanschat, G.; Rivière, B. 15 2014 Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145 Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice 15 2017 A finite element method with strong mass conservation for Biot’s linear consolidation model. Zbl 1407.65192 Kanschat, Guido; Riviere, Beatrice 15 2018 Numerical solutions of the incompressible miscible displacement equations in heterogeneous media. Zbl 1423.76254 Li, Jizhou; Riviere, Beatrice 14 2015 High order discontinuous Galerkin method for simulating miscible flooding in porous media. Zbl 1391.76732 Li, Jizhou; Riviere, Beatrice 13 2015 An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media. Zbl 1453.76078 Liu, Chen; Frank, Florian; Thiele, Christopher; Alpak, Faruk O.; Berg, Steffen; Chapman, Walter; Riviere, Beatrice 11 2020 Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method. Zbl 1412.65129 Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M. 11 2019 Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients. Zbl 1290.65006 Liu, Kun; Rivière, Béatrice M. 11 2013 On the solution of incompressible two-phase flow by a \(p\)-version discontinuous Galerkin method. Zbl 1115.76047 Epshteyn, Y.; Rivière, B. 10 2006 Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods. Zbl 1361.92020 Puelz, Charles; Čanić, Sunčica; Rivière, Béatrice; Rusin, Craig G. 9 2017 An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media. Zbl 1452.76095 Liu, Chen; Frank, Florian; Alpak, Faruk O.; Rivière, Béatrice 9 2019 On the coupling of finite volume and discontinuous Galerkin method for elliptic problems. Zbl 1214.65056 Chidyagwai, Prince; Mishev, Ilya; Rivière, Béatrice 8 2011 Coupling of locally conservative methods for single phase flow. Zbl 1023.76022 Rivière, Béatrice; Wheeler, Mary 8 2002 Convergence of high-order methods for miscible displacement. Zbl 1171.76025 Epshteyn, Yekaterina; Rivière, Beatrice 8 2008 Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290 Girault, Vivette; Li, Jizhou; Rivière, Beatrice 8 2016 Convergence of a high order method in time and space for the miscible displacement equations. Zbl 1327.65176 Li, Jizhou; Riviere, Beatrice; Walkington, Noel 8 2015 A mathematical model of intestinal oedema formation. Zbl 1304.92073 Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen 8 2014 Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn-Hilliard equation. Zbl 1418.65134 Liu, Chen; Frank, Florian; Rivière, Béatrice M. 8 2019 Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1361.76007 Riviere, Beatrice; Sardar, Shirin 7 2014 A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183 Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 6 2021 A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence. Zbl 1491.65099 Masri, Rami; Liu, Chen; Riviere, Beatrice 6 2022 Discontinuous Galerkin methods for convection-diffusion equations for varying and vanishing diffusivity. Zbl 1482.65186 Proft, J.; Rivière, B. 6 2009 Inexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizations. Zbl 1398.65088 Thiele, Christopher; Araya-Polo, Mauricio; Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian 6 2017 Discontinuous finite element methods for coupled surface-subsurface flow and transport problems. Zbl 1426.76300 Riviere, Beatrice 6 2014 A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072 Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis 6 2018 Numerical method of characteristics for one-dimensional blood flow. Zbl 1349.76932 Acosta, Sebastian; Puelz, Charles; Rivière, Béatrice; Penny, Daniel J.; Rusin, Craig G. 5 2015 A splitting-based finite element method for the Biot poroelasticity system. Zbl 1409.76057 Chaabane, Nabil; Rivière, Béatrice 5 2018 A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. Zbl 1508.65128 Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice 5 2020 A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181 Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 5 2021 Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Zbl 1161.65340 Epshteyn, Y.; Khan, T.; Rivière, B. 4 2009 A simple mathematical model of signaling resulting from the binding of lipopolysaccharide with toll-like receptor 4 demonstrates inherent preconditioning behavior. Zbl 1158.92027 Rivière, Beatrice; Epshteyn, Yekaterina; Swigon, David; Vodovotz, Yoram 4 2009 A sequential discontinuous Galerkin method for the coupling of flow and geomechanics. Zbl 1404.65162 Chaabane, Nabil; Rivière, Béatrice 3 2018 Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations. Zbl 1457.76161 Girault, Vivette; Li, Jizhou; Rivière, Beatrice M. 3 2017 Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336 Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. 3 2020 A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. Zbl 07524769 Liu, Chen; Ray, Deep; Thiele, Christopher; Lin, Lu; Riviere, Beatrice 3 2022 Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097 Cappanera, Loïc; Rivière, Béatrice 3 2019 Analysis of a multi-numerics/multi-physics problem. Zbl 1216.76033 Rivière, Béatrice 2 2004 A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant. Zbl 1473.76061 Ray, Deep; Liu, Chen; Riviere, Beatrice 2 2021 A sequential discontinuous Galerkin method for two-phase flow in deformable porous media. Zbl 1507.76122 Shen, Boqian; Riviere, Beatrice 2 2022 Convergence analysis of a coupled method for time-dependent convection-diffusion equations. Zbl 1283.65085 Riviere, Beatrice; Yang, Xin 2 2014 An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine. Zbl 1501.92018 Thompson, Travis B.; Riviere, Beatrice M.; Knepley, Matthew G. 2 2019 Locally conservative algorithms for flow. Zbl 0990.76045 Rivière, Béatrice; Wheeler, Mary F. 1 2000 A semi-implicit method for incompressible three-phase flow in porous media. Zbl 1387.76050 Dong, Justin; Rivière, Béatrice 1 2016 A comprehensive mathematical framework for modeling intestinal smooth muscle cell contraction with applications to intestinal edema. Zbl 1315.92020 Young, Jennifer; Ozisik, Sevtap; Riviere, Beatrice; Shamim, Muhammad 1 2015 An extended DEIM algorithm for subset selection and class identification. Zbl 07432815 Hendryx, Emily P.; Rivière, Béatrice M.; Rusin, Craig G. 1 2021 A multinumerics scheme for incompressible two-phase flow. Zbl 1506.76110 Doyle, Bryan; Riviere, Beatrice; Sekachev, Michael 1 2020 A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence. Zbl 1491.65099 Masri, Rami; Liu, Chen; Riviere, Beatrice 6 2022 A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. Zbl 07524769 Liu, Chen; Ray, Deep; Thiele, Christopher; Lin, Lu; Riviere, Beatrice 3 2022 A sequential discontinuous Galerkin method for two-phase flow in deformable porous media. Zbl 1507.76122 Shen, Boqian; Riviere, Beatrice 2 2022 A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183 Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 6 2021 A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181 Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 5 2021 A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant. Zbl 1473.76061 Ray, Deep; Liu, Chen; Riviere, Beatrice 2 2021 An extended DEIM algorithm for subset selection and class identification. Zbl 07432815 Hendryx, Emily P.; Rivière, Béatrice M.; Rusin, Craig G. 1 2021 An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media. Zbl 1453.76078 Liu, Chen; Frank, Florian; Thiele, Christopher; Alpak, Faruk O.; Berg, Steffen; Chapman, Walter; Riviere, Beatrice 11 2020 A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. Zbl 1508.65128 Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice 5 2020 Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336 Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. 3 2020 A multinumerics scheme for incompressible two-phase flow. Zbl 1506.76110 Doyle, Bryan; Riviere, Beatrice; Sekachev, Michael 1 2020 Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method. Zbl 1412.65129 Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M. 11 2019 An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media. Zbl 1452.76095 Liu, Chen; Frank, Florian; Alpak, Faruk O.; Rivière, Béatrice 9 2019 Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn-Hilliard equation. Zbl 1418.65134 Liu, Chen; Frank, Florian; Rivière, Béatrice M. 8 2019 Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097 Cappanera, Loïc; Rivière, Béatrice 3 2019 An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine. Zbl 1501.92018 Thompson, Travis B.; Riviere, Beatrice M.; Knepley, Matthew G. 2 2019 A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging. Zbl 1405.65104 Frank, Florian; Liu, Chen; Alpak, Faruk O.; Riviere, Beatrice 20 2018 A finite element method with strong mass conservation for Biot’s linear consolidation model. Zbl 1407.65192 Kanschat, Guido; Riviere, Beatrice 15 2018 A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072 Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis 6 2018 A splitting-based finite element method for the Biot poroelasticity system. Zbl 1409.76057 Chaabane, Nabil; Rivière, Béatrice 5 2018 A sequential discontinuous Galerkin method for the coupling of flow and geomechanics. Zbl 1404.65162 Chaabane, Nabil; Rivière, Béatrice 3 2018 Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations. Zbl 1368.65195 Rivière, Béatrice; Tan, Jun; Thompson, Travis 18 2017 Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145 Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice 15 2017 Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods. Zbl 1361.92020 Puelz, Charles; Čanić, Sunčica; Rivière, Béatrice; Rusin, Craig G. 9 2017 Inexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizations. Zbl 1398.65088 Thiele, Christopher; Araya-Polo, Mauricio; Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian 6 2017 Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations. Zbl 1457.76161 Girault, Vivette; Li, Jizhou; Rivière, Beatrice M. 3 2017 A phase-field method for the direct simulation of two-phase flows in pore-scale media using a non-equilibrium wetting boundary condition. Zbl 1391.76797 Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian 17 2016 Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290 Girault, Vivette; Li, Jizhou; Rivière, Beatrice 8 2016 A semi-implicit method for incompressible three-phase flow in porous media. Zbl 1387.76050 Dong, Justin; Rivière, Béatrice 1 2016 Numerical solutions of the incompressible miscible displacement equations in heterogeneous media. Zbl 1423.76254 Li, Jizhou; Riviere, Beatrice 14 2015 High order discontinuous Galerkin method for simulating miscible flooding in porous media. Zbl 1391.76732 Li, Jizhou; Riviere, Beatrice 13 2015 Convergence of a high order method in time and space for the miscible displacement equations. Zbl 1327.65176 Li, Jizhou; Riviere, Beatrice; Walkington, Noel 8 2015 Numerical method of characteristics for one-dimensional blood flow. Zbl 1349.76932 Acosta, Sebastian; Puelz, Charles; Rivière, Béatrice; Penny, Daniel J.; Rusin, Craig G. 5 2015 A comprehensive mathematical framework for modeling intestinal smooth muscle cell contraction with applications to intestinal edema. Zbl 1315.92020 Young, Jennifer; Ozisik, Sevtap; Riviere, Beatrice; Shamim, Muhammad 1 2015 Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101 Girault, V.; Kanschat, G.; Rivière, B. 15 2014 A mathematical model of intestinal oedema formation. Zbl 1304.92073 Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen 8 2014 Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1361.76007 Riviere, Beatrice; Sardar, Shirin 7 2014 Discontinuous finite element methods for coupled surface-subsurface flow and transport problems. Zbl 1426.76300 Riviere, Beatrice 6 2014 Convergence analysis of a coupled method for time-dependent convection-diffusion equations. Zbl 1283.65085 Riviere, Beatrice; Yang, Xin 2 2014 Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096 Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice 40 2013 Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients. Zbl 1290.65006 Liu, Kun; Rivière, Béatrice M. 11 2013 Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-transport problem. Zbl 1234.35178 Çeşmelioğlu, Ayçıl; Rivière, Béatrice 22 2012 Convergence of a discontinuous Galerkin method for the miscible displacement equation under low regularity. Zbl 1414.76036 Rivière, Beatrice M.; Walkington, Noel J. 17 2011 Discontinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions. Zbl 1228.65227 Wihler, Thomas P.; Rivière, Béatrice 16 2011 On the coupling of finite volume and discontinuous Galerkin method for elliptic problems. Zbl 1214.65056 Chidyagwai, Prince; Mishev, Ilya; Rivière, Béatrice 8 2011 A strongly conservative finite element method for the coupling of Stokes and Darcy flow. Zbl 1425.76068 Kanschat, G.; Rivière, B. 92 2010 DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082 Girault, Vivette; Rivière, Béatrice 147 2009 Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078 Çeşmelioğlu, Ayçıl; Rivière, Béatrice 64 2009 On the solution of the coupled Navier-Stokes and Darcy equations. Zbl 1230.76023 Chidyagwai, Prince; Rivière, Béatrice 63 2009 Analysis of \(hp\) discontinuous Galerkin methods for incompressible two-phase flow. Zbl 1157.76024 Epshteyn, Yekaterina; Rivière, Beatrice 20 2009 Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations. Zbl 1203.65255 Guzmán, Johnny; Rivière, Béatrice 15 2009 Discontinuous Galerkin methods for convection-diffusion equations for varying and vanishing diffusivity. Zbl 1482.65186 Proft, J.; Rivière, B. 6 2009 Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Zbl 1161.65340 Epshteyn, Y.; Khan, T.; Rivière, B. 4 2009 A simple mathematical model of signaling resulting from the binding of lipopolysaccharide with toll-like receptor 4 demonstrates inherent preconditioning behavior. Zbl 1158.92027 Rivière, Beatrice; Epshteyn, Yekaterina; Swigon, David; Vodovotz, Yoram 4 2009 Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112 Rivière, Béatrice 489 2008 Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010 Çeşmelioğlu, A.; Rivière, B. 52 2008 Convergence of high-order methods for miscible displacement. Zbl 1171.76025 Epshteyn, Yekaterina; Rivière, Beatrice 8 2008 Estimation of penalty parameters for symmetric interior penalty Galerkin methods. Zbl 1141.65078 Epshteyn, Yekaterina; Rivière, Béatrice 63 2007 Fully implicit discontinuous finite element methods for two-phase flow. Zbl 1370.76085 Epshteyn, Y.; Rivière, B. 40 2007 Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045 Rivière, Béatrice; Shaw, Simon; Whiteman, J. R. 32 2007 Subgrid stabilized defect correction methods for the Navier-Stokes equations. Zbl 1124.76029 Kaya, Songul; Layton, William; Rivière, Béatrice 53 2006 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034 Kaya, Songul; Rivière, Béatrice 47 2006 Adaptive simulations of two-phase flow by discontinuous Galerkin methods. Zbl 1120.76327 Klieber, W.; Rivière, B. 34 2006 Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038 Rivière, Béatrice; Girault, Vivette 17 2006 Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers. Zbl 1135.65036 Rivière, Béatrice; Shaw, Simon 15 2006 On the solution of incompressible two-phase flow by a \(p\)-version discontinuous Galerkin method. Zbl 1115.76047 Epshteyn, Y.; Rivière, B. 10 2006 Locally conservative coupling of Stokes and Darcy flows. Zbl 1084.35063 Rivière, Béatrice; Yotov, Ivan 149 2005 A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. Zbl 1057.35029 Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 110 2005 Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143 Rivière, Béatrice 97 2005 A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. Zbl 1096.76026 Kaya, Songul; Rivière, Béatrice 26 2005 A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037 Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 25 2005 Analysis of a multi-numerics/multi-physics problem. Zbl 1216.76033 Rivière, Béatrice 2 2004 Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039 Rivière, Béatrice; Wheeler, Mary F. 55 2003 A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098 Rivière, B.; Wheeler, M. F. 55 2003 Superconvergence and \(H(div)\) projection for discontinuous Galerkin methods. Zbl 1030.76026 Bastian, Peter; Rivière, Béatrice 54 2003 Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114 Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert 52 2003 Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176 Wheeler, Mary F.; Sun, Shuyu; Eslinger, Owen; Rivière, Béatrice 16 2003 A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media. Zbl 1060.76072 Sun, Shuyu; Rivière, Béatrice; Wheeler, Mary F. 52 2002 Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056 Rivière, Béatrice; Wheeler, Mary F. 50 2002 A priori error estimates for mixed finite element approximations of the acoustic wave equation. Zbl 1093.76036 Jenkins, Eleanor W.; Rivière, Béatrice; Wheeler, Mary F. 36 2002 Non-conforming methods for transport with nonlinear reaction. Zbl 1068.76053 Rivière, Béatrice; Wheeler, Mary F. 16 2002 Coupling of locally conservative methods for single phase flow. Zbl 1023.76022 Rivière, Béatrice; Wheeler, Mary 8 2002 A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045 Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 201 2001 A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078 Rivière, Béatrice; Wheeler, Mary F. 44 2000 Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565 Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof 33 2000 Locally conservative algorithms for flow. Zbl 0990.76045 Rivière, Béatrice; Wheeler, Mary F. 1 2000 Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Zbl 0951.65108 Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 198 1999 all cited Publications top 5 cited Publications all top 5 Cited by 2,068 Authors 62 Rivière, Beatrice M. 39 Wheeler, Mary Fanett 32 Antonietti, Paola Francesca 27 He, Yinnian 26 Hou, Yanren 25 Chung, Tsz Shun Eric 25 Li, Jian 25 Sun, Shuyu 23 Baccouch, Mahboub 23 He, Xiaoming 22 Cockburn, Bernardo 19 Shang, Yueqiang 17 Ruiz-Baier, Ricardo 17 Schötzau, Dominik 17 Zheng, Haibiao 16 Chen, Zhangxin 16 Gatica, Gabriel N. 16 Karasözen, Bülent 16 Liu, Hailiang 16 Mazzieri, Ilario 16 Yang, Jiming 15 Girault, Vivette 15 Lin, Tao 14 Efendiev, Yalchin R. 14 Li, Rui 14 Oyarzúa, Ricardo 14 Uzunca, Murat 13 Çeşmelioğlu, Ayçıl 13 Feng, Xiaobing 13 Huang, Yunqing 13 Wang, Xiaoming 13 Yotov, Ivan 12 Chen, Yanping 12 Lin, Yanping 12 Liu, Jiangguo 12 Qin, Yi 12 Rhebergen, Sander 12 Song, Lunji 11 Adjerid, Slimane 11 Brenner, Susanne Cecelia 11 Dolejší, Vít 11 Gao, Yali 11 Gudi, Thirupathi 11 Lee, Sanghyun 11 Pani, Amiya Kumar 11 Shu, Chi-Wang 11 Yücel, Hamdullah 11 Zhang, Xu 10 Dawson, Clint N. 10 Ferrer, Esteban 10 Frank, Florian 10 Houston, Paul 10 Kumar, Sarvesh 10 Park, Eun-Jae 10 Quarteroni, Alfio M. 10 Verani, Marco 10 Wang, Fei 10 Yang, Yang 9 Al Mahbub, Md. Abdullah 9 Ern, Alexandre 9 Feistauer, Miloslav 9 Feng, Minfu 9 Guo, Hui 9 Hagstrom, Thomas M. 9 Liu, Chen 9 Mei, Liquan 9 Mu, Lin 9 Rui, Hongxing 9 Sayas, Francisco-Javier 9 Ye, Xiu 8 Bastian, Peter 8 Burman, Erik 8 Cai, Mingchao 8 Di Pietro, Daniele Antonio 8 Du, Guangzhi 8 Ervin, Vincent J. 8 Georgoulis, Emmanuil H. 8 Han, Daozhi 8 Kou, Jisheng 8 Pop, Iuliu Sorin 8 Radu, Florin Adrian 8 Sung, Li-Yeng 8 Wen, Jing 8 Yan, Jue 8 Zhang, Zhimin 8 Zou, Guang’an 8 Zuo, Liyun 7 Appelö, Daniel 7 Chen, Wenbin 7 Droniou, Jérôme 7 Epshteyn, Yekaterina 7 Giani, Stefano 7 Hou, Jiangyong 7 Huang, Pengzhan 7 John, Volker 7 Kanschat, Guido 7 Langer, Ulrich 7 Lee, Hyesuk Kwon 7 Li, Jichun 7 Linke, Alexander ...and 1,968 more Authors all top 5 Cited in 153 Serials 158 Computer Methods in Applied Mechanics and Engineering 158 Journal of Scientific Computing 125 Journal of Computational Physics 123 Journal of Computational and Applied Mathematics 105 Computers & Mathematics with Applications 79 Numerical Methods for Partial Differential Equations 59 Applied Numerical Mathematics 47 SIAM Journal on Scientific Computing 46 Mathematics of Computation 41 Computational Geosciences 39 Numerische Mathematik 39 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 Applied Mathematics and Computation 33 SIAM Journal on Numerical Analysis 23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 22 International Journal for Numerical Methods in Engineering 20 Numerical Algorithms 18 Advances in Computational Mathematics 17 Communications in Computational Physics 16 Computers and Fluids 16 Journal of Numerical Mathematics 16 Advances in Applied Mathematics and Mechanics 15 Applied Mathematical Modelling 14 Calcolo 13 International Journal of Numerical Analysis and Modeling 12 Journal of Mathematical Analysis and Applications 12 Computational and Applied Mathematics 11 Mathematical Methods in the Applied Sciences 11 Mathematics and Computers in Simulation 10 International Journal of Computer Mathematics 10 Computational Methods in Applied Mathematics 9 Applicable Analysis 8 International Journal for Numerical Methods in Fluids 8 Applied Mathematics Letters 8 Multiscale Modeling & Simulation 8 Communications on Applied Mathematics and Computation 7 BIT 7 Journal of Applied Mathematics and Computing 7 Science China. 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Académie des Sciences, Paris 4 Advances in Numerical Analysis 4 Journal of Applied Analysis and Computation 3 Journal of Fluid Mechanics 3 Numerical Functional Analysis and Optimization 3 Numerical Linear Algebra with Applications 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Mathematical Problems in Engineering 3 Journal of Inequalities and Applications 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Journal of Systems Science and Complexity 3 East Asian Journal on Applied Mathematics 3 SMAI Journal of Computational Mathematics 3 Electronic Research Archive 2 Acta Mechanica 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Engineering Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 European Journal of Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Journal of Mathematical Imaging and Vision 2 Computational Optimization and Applications 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 ETNA. Electronic Transactions on Numerical Analysis 2 International Journal of Computational Fluid Dynamics 2 Vietnam Journal of Mathematics 2 Taiwanese Journal of Mathematics 2 European Journal of Mechanics. A. Solids 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Foundations of Computational Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Discrete and Continuous Dynamical Systems. Series S 2 Numerical Mathematics: Theory, Methods and Applications 2 AIMS Mathematics 1 Bulletin of the Australian Mathematical Society 1 Computer Physics Communications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology ...and 53 more Serials all top 5 Cited in 32 Fields 1,432 Numerical analysis (65-XX) 860 Fluid mechanics (76-XX) 708 Partial differential equations (35-XX) 220 Mechanics of deformable solids (74-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 54 Geophysics (86-XX) 46 Biology and other natural sciences (92-XX) 25 Optics, electromagnetic theory (78-XX) 22 Statistical mechanics, structure of matter (82-XX) 18 Integral equations (45-XX) 17 Classical thermodynamics, heat transfer (80-XX) 14 Computer science (68-XX) 12 Ordinary differential equations (34-XX) 10 Probability theory and stochastic processes (60-XX) 7 Approximations and expansions (41-XX) 7 Systems theory; control (93-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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