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 External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 98 Publications since 1999, including 1 Book 1 Contribution as Editor Co-Authors: 67 Co-Authors with 94 Joint Publications 1,948 Co-Co-Authors all top 5 Co-Authors 4 single-authored 16 Wheeler, Mary Fanett 15 Girault, Vivette 8 Liu, Chen 7 Epshteyn, Yekaterina 6 Frank, Florian 5 Alpak, Faruk Omer 5 Chaabane, Nabil 5 Li, Jizhou 5 Puelz, Charles 4 Çeşmelioğlu, Ayçıl 4 Knepley, Matthew G. 4 Masri, Rami 4 Thiele, Christopher 3 Cappanera, Loïc 3 Fabien, Maurice S. 3 Kanschat, Guido 3 Kaya, Songul 3 Rusin, Craig G. 3 Thompson, Travis B. 2 Chidyagwai, Prince 2 Joshaghani, M. S. 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 Chapman, Walter G. 1 Cox, Charles S. jun. 1 Dong, Justin 1 Doyle, Bryan 1 Eslinger, Owen 1 Guzmán, Johnny 1 Hendryx, Emily P. 1 Hoppe, Ronald H. W. 1 Jenkins, Eleanor W. 1 Klieber, William 1 Layton, William J. 1 Lin, Lu 1 Liu, Kun 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 Swigon, David 1 Tan, Jun 1 Uray, Karen 1 Vodovotz, Yoram 1 Wang, Yingpei 1 Wihler, Thomas Pascal 1 Yotov, Ivan all top 5 Serials 9 SIAM Journal on Numerical Analysis 8 Computational Geosciences 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of Numerical Mathematics 6 Journal of Computational Physics 6 Numerical Methods for Partial Differential Equations 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 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 79 Numerical analysis (65-XX) 67 Fluid mechanics (76-XX) 33 Partial differential equations (35-XX) 11 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 2,775 times in 1,581 Documents Cited by ▼ Year ▼ Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112Rivière, Béatrice 453 2008 A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 196 2001 Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Zbl 0951.65108Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 190 1999 Locally conservative coupling of Stokes and Darcy flows. Zbl 1084.35063Rivière, Béatrice; Yotov, Ivan 146 2005 DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082Girault, Vivette; Rivière, Béatrice 132 2009 A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. Zbl 1057.35029Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 99 2005 Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143Rivière, Béatrice 93 2005 A strongly conservative finite element method for the coupling of Stokes and Darcy flow. Zbl 1425.76068Kanschat, G.; Rivière, B. 88 2010 Estimation of penalty parameters for symmetric interior penalty Galerkin methods. Zbl 1141.65078Epshteyn, Yekaterina; Rivière, Béatrice 63 2007 Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078Çeşmelioğlu, Ayçıl; Rivière, Béatrice 60 2009 On the solution of the coupled Navier-Stokes and Darcy equations. Zbl 1230.76023Chidyagwai, Prince; Rivière, Béatrice 60 2009 A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098Rivière, B.; Wheeler, M. F. 55 2003 Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039Rivière, Béatrice; Wheeler, Mary F. 53 2003 Superconvergence and \(H(div)\) projection for discontinuous Galerkin methods. Zbl 1030.76026Bastian, Peter; Rivière, Béatrice 52 2003 A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media. Zbl 1060.76072Sun, Shuyu; Rivière, Béatrice; Wheeler, Mary F. 51 2002 Subgrid stabilized defect correction methods for the Navier-Stokes equations. Zbl 1124.76029Kaya, Songul; Layton, William; Rivière, Béatrice 51 2006 Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010Çeşmelioğlu, A.; Rivière, B. 50 2008 Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert 48 2003 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034Kaya, Songul; Rivière, Béatrice 46 2006 Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056Rivière, Béatrice; Wheeler, Mary F. 45 2002 A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078Rivière, Béatrice; Wheeler, Mary F. 41 2000 Fully implicit discontinuous finite element methods for two-phase flow. Zbl 1370.76085Epshteyn, Y.; Rivière, B. 40 2007 Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice 37 2013 A priori error estimates for mixed finite element approximations of the acoustic wave equation. Zbl 1093.76036Jenkins, Eleanor W.; Rivière, Béatrice; Wheeler, Mary F. 35 2002 Adaptive simulations of two-phase flow by discontinuous Galerkin methods. Zbl 1120.76327Klieber, W.; Rivière, B. 34 2006 Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof 32 2000 Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045Rivière, Béatrice; Shaw, Simon; Whiteman, J. R. 28 2007 A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 24 2005 A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. Zbl 1096.76026Kaya, Songul; Rivière, Béatrice 23 2005 Analysis of \(hp\) discontinuous Galerkin methods for incompressible two-phase flow. Zbl 1157.76024Epshteyn, Yekaterina; Rivière, Beatrice 20 2009 Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-transport problem. Zbl 1234.35178Çeşmelioğlu, Ayçıl; Rivière, Béatrice 20 2012 Convergence of a discontinuous Galerkin method for the miscible displacement equation under low regularity. Zbl 1414.76036Rivière, 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 1391.76797Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian 17 2016 A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging. Zbl 1405.65104Frank, Florian; Liu, Chen; Alpak, Faruk O.; Riviere, Beatrice 17 2018 Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176Wheeler, Mary F.; Sun, Shuyu; Eslinger, Owen; Rivière, Béatrice 16 2003 Non-conforming methods for transport with nonlinear reaction. Zbl 1068.76053Rivière, Béatrice; Wheeler, Mary F. 16 2002 Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations. Zbl 1368.65195Rivière, Béatrice; Tan, Jun; Thompson, Travis 16 2017 Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations. Zbl 1203.65255Guzmán, Johnny; Rivière, Béatrice 15 2009 Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038Rivière, Béatrice; Girault, Vivette 15 2006 Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101Girault, V.; Kanschat, G.; Rivière, B. 15 2014 Discontinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions. Zbl 1228.65227Wihler, Thomas P.; Rivière, Béatrice 14 2011 Numerical solutions of the incompressible miscible displacement equations in heterogeneous media. Zbl 1423.76254Li, Jizhou; Riviere, Beatrice 14 2015 Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers. Zbl 1135.65036Rivière, Béatrice; Shaw, Simon 13 2006 High order discontinuous Galerkin method for simulating miscible flooding in porous media. Zbl 1391.76732Li, Jizhou; Riviere, Beatrice 13 2015 On the solution of incompressible two-phase flow by a \(p\)-version discontinuous Galerkin method. Zbl 1115.76047Epshteyn, Y.; Rivière, B. 10 2006 Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method. Zbl 1412.65129Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M. 10 2019 An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media. Zbl 1453.76078Liu, Chen; Frank, Florian; Thiele, Christopher; Alpak, Faruk O.; Berg, Steffen; Chapman, Walter; Riviere, Beatrice 10 2020 A finite element method with strong mass conservation for Biot’s linear consolidation model. Zbl 1407.65192Kanschat, Guido; Riviere, Beatrice 10 2018 Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients. Zbl 1290.65006Liu, Kun; Rivière, Béatrice M. 9 2013 Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice 9 2017 Coupling of locally conservative methods for single phase flow. Zbl 1023.76022Rivière, Béatrice; Wheeler, Mary 8 2002 Convergence of high-order methods for miscible displacement. Zbl 1171.76025Epshteyn, Yekaterina; Rivière, Beatrice 8 2008 A mathematical model of intestinal oedema formation. Zbl 1304.92073Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen 8 2014 On the coupling of finite volume and discontinuous Galerkin method for elliptic problems. Zbl 1214.65056Chidyagwai, Prince; Mishev, Ilya; Rivière, Béatrice 8 2011 Convergence of a high order method in time and space for the miscible displacement equations. Zbl 1327.65176Li, Jizhou; Riviere, Beatrice; Walkington, Noel 8 2015 Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1361.76007Riviere, Beatrice; Sardar, Shirin 7 2014 Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods. Zbl 1361.92020Puelz, Charles; Čanić, Sunčica; Rivière, Béatrice; Rusin, Craig G. 7 2017 Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn-Hilliard equation. Zbl 1418.65134Liu, Chen; Frank, Florian; Rivière, Béatrice M. 7 2019 Discontinuous finite element methods for coupled surface-subsurface flow and transport problems. Zbl 1426.76300Riviere, Beatrice 6 2014 Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290Girault, Vivette; Li, Jizhou; Rivière, Beatrice 6 2016 Discontinuous Galerkin methods for convection-diffusion equations for varying and vanishing diffusivity. Zbl 1482.65186Proft, J.; Rivière, B. 6 2009 Inexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizations. Zbl 1398.65088Thiele, Christopher; Araya-Polo, Mauricio; Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian 6 2017 A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. Zbl 1508.65128Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice 5 2020 A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis 5 2018 An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media. Zbl 1452.76095Liu, Chen; Frank, Florian; Alpak, Faruk O.; Rivière, Béatrice 5 2019 Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Zbl 1161.65340Epshteyn, 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 1158.92027Rivière, Beatrice; Epshteyn, Yekaterina; Swigon, David; Vodovotz, Yoram 4 2009 A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 4 2021 Numerical method of characteristics for one-dimensional blood flow. Zbl 1349.76932Acosta, Sebastian; Puelz, Charles; Rivière, Béatrice; Penny, Daniel J.; Rusin, Craig G. 4 2015 A splitting-based finite element method for the Biot poroelasticity system. Zbl 1409.76057Chaabane, Nabil; Rivière, Béatrice 4 2018 A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 3 2021 Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations. Zbl 1457.76161Girault, Vivette; Li, Jizhou; Rivière, Beatrice M. 3 2017 A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence. Zbl 1491.65099Masri, Rami; Liu, Chen; Riviere, Beatrice 3 2022 Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. 3 2020 A sequential discontinuous Galerkin method for the coupling of flow and geomechanics. Zbl 1404.65162Chaabane, Nabil; Rivière, Béatrice 3 2018 Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097Cappanera, Loïc; Rivière, Béatrice 3 2019 Analysis of a multi-numerics/multi-physics problem. Zbl 1216.76033Rivière, Béatrice 2 2004 Convergence analysis of a coupled method for time-dependent convection-diffusion equations. Zbl 1283.65085Riviere, Beatrice; Yang, Xin 2 2014 A sequential discontinuous Galerkin method for two-phase flow in deformable porous media. Zbl 1507.76122Shen, Boqian; Riviere, Beatrice 2 2022 An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine. Zbl 1501.92018Thompson, Travis B.; Riviere, Beatrice M.; Knepley, Matthew G. 2 2019 A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. Zbl 07524769Liu, Chen; Ray, Deep; Thiele, Christopher; Lin, Lu; Riviere, Beatrice 2 2022 Locally conservative algorithms for flow. Zbl 0990.76045Rivière, Béatrice; Wheeler, Mary F. 1 2000 A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant. Zbl 1473.76061Ray, Deep; Liu, Chen; Riviere, Beatrice 1 2021 An extended DEIM algorithm for subset selection and class identification. Zbl 07432815Hendryx, Emily P.; Rivière, Béatrice M.; Rusin, Craig G. 1 2021 A semi-implicit method for incompressible three-phase flow in porous media. Zbl 1387.76050Dong, Justin; Rivière, Béatrice 1 2016 A comprehensive mathematical framework for modeling intestinal smooth muscle cell contraction with applications to intestinal edema. Zbl 1315.92020Young, Jennifer; Ozisik, Sevtap; Riviere, Beatrice; Shamim, Muhammad 1 2015 A multinumerics scheme for incompressible two-phase flow. Zbl 1506.76110Doyle, Bryan; Riviere, Beatrice; Sekachev, Michael 1 2020 A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence. Zbl 1491.65099Masri, Rami; Liu, Chen; Riviere, Beatrice 3 2022 A sequential discontinuous Galerkin method for two-phase flow in deformable porous media. Zbl 1507.76122Shen, Boqian; Riviere, Beatrice 2 2022 A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. Zbl 07524769Liu, Chen; Ray, Deep; Thiele, Christopher; Lin, Lu; Riviere, Beatrice 2 2022 A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 4 2021 A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 3 2021 A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant. Zbl 1473.76061Ray, Deep; Liu, Chen; Riviere, Beatrice 1 2021 An extended DEIM algorithm for subset selection and class identification. Zbl 07432815Hendryx, 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 1453.76078Liu, Chen; Frank, Florian; Thiele, Christopher; Alpak, Faruk O.; Berg, Steffen; Chapman, Walter; Riviere, Beatrice 10 2020 A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. Zbl 1508.65128Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice 5 2020 Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. 3 2020 A multinumerics scheme for incompressible two-phase flow. Zbl 1506.76110Doyle, Bryan; Riviere, Beatrice; Sekachev, Michael 1 2020 Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method. Zbl 1412.65129Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M. 10 2019 Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn-Hilliard equation. Zbl 1418.65134Liu, Chen; Frank, Florian; Rivière, Béatrice M. 7 2019 An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media. Zbl 1452.76095Liu, Chen; Frank, Florian; Alpak, Faruk O.; Rivière, Béatrice 5 2019 Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097Cappanera, Loïc; Rivière, Béatrice 3 2019 An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine. Zbl 1501.92018Thompson, 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 1405.65104Frank, Florian; Liu, Chen; Alpak, Faruk O.; Riviere, Beatrice 17 2018 A finite element method with strong mass conservation for Biot’s linear consolidation model. Zbl 1407.65192Kanschat, Guido; Riviere, Beatrice 10 2018 A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis 5 2018 A splitting-based finite element method for the Biot poroelasticity system. Zbl 1409.76057Chaabane, Nabil; Rivière, Béatrice 4 2018 A sequential discontinuous Galerkin method for the coupling of flow and geomechanics. Zbl 1404.65162Chaabane, Nabil; Rivière, Béatrice 3 2018 Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations. Zbl 1368.65195Rivière, Béatrice; Tan, Jun; Thompson, Travis 16 2017 Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice 9 2017 Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods. Zbl 1361.92020Puelz, Charles; Čanić, Sunčica; Rivière, Béatrice; Rusin, Craig G. 7 2017 Inexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizations. Zbl 1398.65088Thiele, 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 1457.76161Girault, 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 1391.76797Alpak, Faruk O.; Riviere, Beatrice; Frank, Florian 17 2016 Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290Girault, Vivette; Li, Jizhou; Rivière, Beatrice 6 2016 A semi-implicit method for incompressible three-phase flow in porous media. Zbl 1387.76050Dong, Justin; Rivière, Béatrice 1 2016 Numerical solutions of the incompressible miscible displacement equations in heterogeneous media. Zbl 1423.76254Li, Jizhou; Riviere, Beatrice 14 2015 High order discontinuous Galerkin method for simulating miscible flooding in porous media. Zbl 1391.76732Li, Jizhou; Riviere, Beatrice 13 2015 Convergence of a high order method in time and space for the miscible displacement equations. Zbl 1327.65176Li, Jizhou; Riviere, Beatrice; Walkington, Noel 8 2015 Numerical method of characteristics for one-dimensional blood flow. Zbl 1349.76932Acosta, Sebastian; Puelz, Charles; Rivière, Béatrice; Penny, Daniel J.; Rusin, Craig G. 4 2015 A comprehensive mathematical framework for modeling intestinal smooth muscle cell contraction with applications to intestinal edema. Zbl 1315.92020Young, Jennifer; Ozisik, Sevtap; Riviere, Beatrice; Shamim, Muhammad 1 2015 Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101Girault, V.; Kanschat, G.; Rivière, B. 15 2014 A mathematical model of intestinal oedema formation. Zbl 1304.92073Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen 8 2014 Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1361.76007Riviere, Beatrice; Sardar, Shirin 7 2014 Discontinuous finite element methods for coupled surface-subsurface flow and transport problems. Zbl 1426.76300Riviere, Beatrice 6 2014 Convergence analysis of a coupled method for time-dependent convection-diffusion equations. Zbl 1283.65085Riviere, Beatrice; Yang, Xin 2 2014 Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice 37 2013 Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients. Zbl 1290.65006Liu, Kun; Rivière, Béatrice M. 9 2013 Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-transport problem. Zbl 1234.35178Çeşmelioğlu, Ayçıl; Rivière, Béatrice 20 2012 Convergence of a discontinuous Galerkin method for the miscible displacement equation under low regularity. Zbl 1414.76036Rivière, Beatrice M.; Walkington, Noel J. 17 2011 Discontinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions. Zbl 1228.65227Wihler, Thomas P.; Rivière, Béatrice 14 2011 On the coupling of finite volume and discontinuous Galerkin method for elliptic problems. Zbl 1214.65056Chidyagwai, Prince; Mishev, Ilya; Rivière, Béatrice 8 2011 A strongly conservative finite element method for the coupling of Stokes and Darcy flow. Zbl 1425.76068Kanschat, G.; Rivière, B. 88 2010 DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082Girault, Vivette; Rivière, Béatrice 132 2009 Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078Çeşmelioğlu, Ayçıl; Rivière, Béatrice 60 2009 On the solution of the coupled Navier-Stokes and Darcy equations. Zbl 1230.76023Chidyagwai, Prince; Rivière, Béatrice 60 2009 Analysis of \(hp\) discontinuous Galerkin methods for incompressible two-phase flow. Zbl 1157.76024Epshteyn, Yekaterina; Rivière, Beatrice 20 2009 Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations. Zbl 1203.65255Guzmán, Johnny; Rivière, Béatrice 15 2009 Discontinuous Galerkin methods for convection-diffusion equations for varying and vanishing diffusivity. Zbl 1482.65186Proft, J.; Rivière, B. 6 2009 Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Zbl 1161.65340Epshteyn, 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 1158.92027Rivière, Beatrice; Epshteyn, Yekaterina; Swigon, David; Vodovotz, Yoram 4 2009 Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112Rivière, Béatrice 453 2008 Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010Çeşmelioğlu, A.; Rivière, B. 50 2008 Convergence of high-order methods for miscible displacement. Zbl 1171.76025Epshteyn, Yekaterina; Rivière, Beatrice 8 2008 Estimation of penalty parameters for symmetric interior penalty Galerkin methods. Zbl 1141.65078Epshteyn, Yekaterina; Rivière, Béatrice 63 2007 Fully implicit discontinuous finite element methods for two-phase flow. Zbl 1370.76085Epshteyn, Y.; Rivière, B. 40 2007 Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045Rivière, Béatrice; Shaw, Simon; Whiteman, J. R. 28 2007 Subgrid stabilized defect correction methods for the Navier-Stokes equations. Zbl 1124.76029Kaya, Songul; Layton, William; Rivière, Béatrice 51 2006 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034Kaya, Songul; Rivière, Béatrice 46 2006 Adaptive simulations of two-phase flow by discontinuous Galerkin methods. Zbl 1120.76327Klieber, W.; Rivière, B. 34 2006 Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038Rivière, Béatrice; Girault, Vivette 15 2006 Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers. Zbl 1135.65036Rivière, Béatrice; Shaw, Simon 13 2006 On the solution of incompressible two-phase flow by a \(p\)-version discontinuous Galerkin method. Zbl 1115.76047Epshteyn, Y.; Rivière, B. 10 2006 Locally conservative coupling of Stokes and Darcy flows. Zbl 1084.35063Rivière, Béatrice; Yotov, Ivan 146 2005 A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. Zbl 1057.35029Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 99 2005 Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143Rivière, Béatrice 93 2005 A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. 24 2005 A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. Zbl 1096.76026Kaya, Songul; Rivière, Béatrice 23 2005 Analysis of a multi-numerics/multi-physics problem. Zbl 1216.76033Rivière, Béatrice 2 2004 A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098Rivière, B.; Wheeler, M. F. 55 2003 Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039Rivière, Béatrice; Wheeler, Mary F. 53 2003 Superconvergence and \(H(div)\) projection for discontinuous Galerkin methods. Zbl 1030.76026Bastian, Peter; Rivière, Béatrice 52 2003 Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert 48 2003 Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176Wheeler, 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 1060.76072Sun, Shuyu; Rivière, Béatrice; Wheeler, Mary F. 51 2002 Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056Rivière, Béatrice; Wheeler, Mary F. 45 2002 A priori error estimates for mixed finite element approximations of the acoustic wave equation. Zbl 1093.76036Jenkins, Eleanor W.; Rivière, Béatrice; Wheeler, Mary F. 35 2002 Non-conforming methods for transport with nonlinear reaction. Zbl 1068.76053Rivière, Béatrice; Wheeler, Mary F. 16 2002 Coupling of locally conservative methods for single phase flow. Zbl 1023.76022Rivière, Béatrice; Wheeler, Mary 8 2002 A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 196 2001 A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078Rivière, Béatrice; Wheeler, Mary F. 41 2000 Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof 32 2000 Locally conservative algorithms for flow. Zbl 0990.76045Rivière, Béatrice; Wheeler, Mary F. 1 2000 Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Zbl 0951.65108Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 190 1999 all cited Publications top 5 cited Publications all top 5 Cited by 1,971 Authors 60 Rivière, Beatrice M. 39 Wheeler, Mary Fanett 30 Antonietti, Paola Francesca 25 Chung, Tsz Shun Eric 25 He, Yinnian 25 Hou, Yanren 23 He, Xiaoming 23 Li, Jian 23 Sun, Shuyu 22 Cockburn, Bernardo 21 Baccouch, Mahboub 17 Schötzau, Dominik 17 Shang, Yueqiang 16 Gatica, Gabriel N. 16 Karasözen, Bülent 16 Zheng, Haibiao 15 Chen, Zhangxin 15 Girault, Vivette 15 Lin, Tao 15 Liu, Hailiang 15 Mazzieri, Ilario 14 Efendiev, Yalchin R. 14 Oyarzúa, Ricardo 14 Ruiz-Baier, Ricardo 14 Uzunca, Murat 14 Yang, Jiming 13 Çeşmelioğlu, Ayçıl 13 Feng, Xiaobing 13 Huang, Yunqing 13 Li, Rui 13 Yotov, Ivan 12 Chen, Yanping 12 Lin, Yanping 12 Liu, Jiangguo 12 Rhebergen, Sander 11 Adjerid, Slimane 11 Brenner, Susanne Cecelia 11 Dolejší, Vít 11 Gudi, Thirupathi 11 Lee, Sanghyun 11 Pani, Amiya Kumar 11 Qin, Yi 11 Shu, Chi-Wang 11 Song, Lunji 11 Wang, Xiaoming 11 Yücel, Hamdullah 11 Zhang, Xu 10 Dawson, Clint N. 10 Ern, Alexandre 10 Ferrer, Esteban 10 Gao, Yali 10 Houston, Paul 10 Quarteroni, Alfio M. 10 Verani, Marco 10 Wang, Fei 10 Yang, Yang 9 Feistauer, Miloslav 9 Frank, Florian 9 Hagstrom, Thomas M. 9 Kumar, Sarvesh 9 Mei, Liquan 9 Park, Eun-Jae 9 Rui, Hongxing 9 Sayas, Francisco-Javier 9 Ye, Xiu 8 Al Mahbub, Md. Abdullah 8 Bastian, Peter 8 Burman, Erik 8 Di Pietro, Daniele Antonio 8 Ervin, Vincent J. 8 Georgoulis, Emmanuil H. 8 Guo, Hui 8 Mu, Lin 8 Pop, Iuliu Sorin 8 Radu, Florin Adrian 8 Yan, Jue 8 Zhang, Zhimin 8 Zou, Guang’an 8 Zuo, Liyun 7 Appelö, Daniel 7 Cai, Mingchao 7 Droniou, Jérôme 7 Epshteyn, Yekaterina 7 Feng, Minfu 7 Giani, Stefano 7 Han, Daozhi 7 Hou, Jiangyong 7 Kanschat, Guido 7 Langer, Ulrich 7 Li, Jichun 7 Linke, Alexander 7 Liu, Chen 7 Loula, Abimael Fernando Dourado 7 Rubio, Gonzalo 7 Rybak, Iryna V. 7 Scovazzi, Guglielmo 7 Shi, Feng 7 Stamm, Benjamin 7 Vohralík, Martin 7 Wen, Jing ...and 1,871 more Authors all top 5 Cited in 147 Serials 157 Journal of Scientific Computing 155 Computer Methods in Applied Mechanics and Engineering 125 Journal of Computational Physics 123 Journal of Computational and Applied Mathematics 99 Computers & Mathematics with Applications 59 Applied Numerical Mathematics 57 Numerical Methods for Partial Differential Equations 46 Mathematics of Computation 46 SIAM Journal on Scientific Computing 40 Computational Geosciences 39 Numerische Mathematik 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 Applied Mathematics and Computation 32 SIAM Journal on Numerical Analysis 23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 16 Computers and Fluids 16 International Journal for Numerical Methods in Engineering 16 Advances in Computational Mathematics 16 Journal of Numerical Mathematics 16 Communications in Computational Physics 15 Applied Mathematical Modelling 15 Advances in Applied Mathematics and Mechanics 14 Numerical Algorithms 13 Calcolo 13 International Journal of Numerical Analysis and Modeling 12 Journal of Mathematical Analysis and Applications 12 Mathematics and Computers in Simulation 11 Computational and Applied Mathematics 10 Computational Methods in Applied Mathematics 9 International Journal of Computer Mathematics 8 Applicable Analysis 8 International Journal for Numerical Methods in Fluids 8 Applied Mathematics Letters 8 Communications on Applied Mathematics and Computation 7 Mathematical Methods in the Applied Sciences 7 BIT 7 Journal of Applied Mathematics and Computing 7 Science China. Mathematics 6 Computational Mechanics 6 Applications of Mathematics 6 Multiscale Modeling & Simulation 5 Japan Journal of Industrial and Applied Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Computational Methods 5 Advances in Difference Equations 5 GEM - International Journal on Geomathematics 5 Results in Applied Mathematics 4 Mathematical Biosciences 4 Acta Applicandae Mathematicae 4 Communications in Numerical Methods in Engineering 4 Engineering Analysis with Boundary Elements 4 Abstract and Applied Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Numerical Analysis 4 Journal of Applied Analysis and Computation 3 Journal of Fluid Mechanics 3 Journal of Differential Equations 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 Discrete and Continuous Dynamical Systems. Series B 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 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 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 AIMS Mathematics 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 1 Journal of the Korean Mathematical Society 1 Kybernetika 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Journal of Computational Mathematics ...and 47 more Serials all top 5 Cited in 32 Fields 1,360 Numerical analysis (65-XX) 824 Fluid mechanics (76-XX) 652 Partial differential equations (35-XX) 205 Mechanics of deformable solids (74-XX) 53 Geophysics (86-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 42 Biology and other natural sciences (92-XX) 24 Optics, electromagnetic theory (78-XX) 22 Statistical mechanics, structure of matter (82-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Integral equations (45-XX) 13 Computer science (68-XX) 12 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 6 Systems theory; control (93-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Approximations and expansions (41-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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