## Rivière, Beatrice M.

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 Author ID: riviere.beatrice-m Published as: Rivière, Béatrice; Riviere, Beatrice; Rivière, B.; Rivière, Béatrice M.; Rivière, Beatrice; Rivière, Beatrice M.; Riviere, B.; Riviere, Beatrice M. more...less External Links: MGP · Wikidata · IdRef · theses.fr
 Documents Indexed: 94 Publications since 1999, including 1 Book 1 Contribution as Editor Co-Authors: 66 Co-Authors with 90 Joint Publications 1,776 Co-Co-Authors
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### Co-Authors

 4 single-authored 16 Wheeler, Mary Fanett 15 Girault, Vivette 7 Epshteyn, Yekaterina 7 Liu, Chen 6 Frank, Florian 5 Alpak, Faruk O. 5 Chaabane, Nabil 5 Li, Jizhou 5 Puelz, Charles 4 Çeşmelioğlu, Ayçıl 4 Thiele, Christopher 3 Cappanera, Loïc 3 Fabien, Maurice S. 3 Kanschat, Guido 3 Kaya, Songul 3 Knepley, Matthew G. 3 Rusin, Craig G. 2 Chidyagwai, Prince 2 Joshaghani, M. S. 2 Masri, Rami 2 Ray, Deep 2 Sun, Shuyu 2 Thompson, Travis B. 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
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### Serials

 8 SIAM Journal on Numerical Analysis 8 Computational Geosciences 7 Journal of Numerical Mathematics 6 Computer Methods in Applied Mechanics and Engineering 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 3 Applied Numerical Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematical Biosciences 2 Mathematics of Computation 2 International Journal of Computer Mathematics 2 Communications in Numerical Methods in Engineering 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 Mathematical Medicine and Biology 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
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### Fields

 76 Numerical analysis (65-XX) 64 Fluid mechanics (76-XX) 30 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 8 Geophysics (86-XX) 7 Biology and other natural sciences (92-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)

### Citations contained in zbMATH Open

79 Publications have been cited 2,298 times in 1,331 Documents Cited by Year
Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112
Rivière, Béatrice
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
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
1999
Locally conservative coupling of Stokes and Darcy flows. Zbl 1084.35063
Rivière, Béatrice; Yotov, Ivan
2005
DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082
Girault, Vivette; Rivière, Béatrice
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.
2005
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
2005
A strongly conservative finite element method for the coupling of Stokes and Darcy flow. Zbl 1425.76068
Kanschat, G.; Rivière, B.
2010
Estimation of penalty parameters for symmetric interior penalty Galerkin methods. Zbl 1141.65078
Epshteyn, Yekaterina; Rivière, Béatrice
2007
A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098
Rivière, B.; Wheeler, M. F.
2003
Subgrid stabilized defect correction methods for the Navier-Stokes equations. Zbl 1124.76029
Kaya, Songul; Layton, William; Rivière, Béatrice
2006
Superconvergence and $$H(div)$$ projection for discontinuous Galerkin methods. Zbl 1030.76026
Bastian, Peter; Rivière, Béatrice
2003
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
2009
On the solution of the coupled Navier-Stokes and Darcy equations. Zbl 1230.76023
Chidyagwai, Prince; Rivière, Béatrice
2009
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.
2002
A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034
Kaya, Songul; Rivière, Béatrice
2006
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
2003
Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039
Rivière, Béatrice; Wheeler, Mary F.
2003
A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078
Rivière, Béatrice; Wheeler, Mary F.
2000
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010
Çeşmelioğlu, A.; Rivière, B.
2008
Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056
Rivière, Béatrice; Wheeler, Mary F.
2002
Fully implicit discontinuous finite element methods for two-phase flow. Zbl 1370.76085
Epshteyn, Y.; Rivière, B.
2007
Adaptive simulations of two-phase flow by discontinuous Galerkin methods. Zbl 1120.76327
Klieber, W.; Rivière, B.
2006
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.
2002
Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565
Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof
2000
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
2013
Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045
Rivière, Béatrice; Shaw, Simon; Whiteman, J. R.
2007
A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. Zbl 1096.76026
Kaya, Songul; Rivière, Béatrice
2005
Analysis of $$hp$$ discontinuous Galerkin methods for incompressible two-phase flow. Zbl 1157.76024
Epshteyn, Yekaterina; Rivière, Beatrice
2009
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
2005
Convergence of a discontinuous Galerkin method for the miscible displacement equation under low regularity. Zbl 1414.76036
Rivière, Beatrice M.; Walkington, Noel J.
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
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 1405.65104
Frank, Florian; Liu, Chen; Alpak, Faruk O.; Riviere, Beatrice
2018
Non-conforming methods for transport with nonlinear reaction. Zbl 1068.76053
Rivière, Béatrice; Wheeler, Mary F.
2002
Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176
Wheeler, Mary F.; Sun, Shuyu; Eslinger, Owen; Rivière, Béatrice
2003
Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-transport problem. Zbl 1234.35178
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
2012
Discontinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions. Zbl 1228.65227
Wihler, Thomas P.; Rivière, Béatrice
2011
Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations. Zbl 1203.65255
Guzmán, Johnny; Rivière, Béatrice
2009
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
2014
Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038
Rivière, Béatrice; Girault, Vivette
2006
Error analysis of primal discontinuous Galerkin methods for a mixed formulation of the Biot equations. Zbl 1368.65195
Rivière, Béatrice; Tan, Jun; Thompson, Travis
2017
Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers. Zbl 1135.65036
Rivière, Béatrice; Shaw, Simon
2006
Numerical solutions of the incompressible miscible displacement equations in heterogeneous media. Zbl 1423.76254
Li, Jizhou; Riviere, Beatrice
2015
On the solution of incompressible two-phase flow by a $$p$$-version discontinuous Galerkin method. Zbl 1115.76047
Epshteyn, Y.; Rivière, B.
2006
High order discontinuous Galerkin method for simulating miscible flooding in porous media. Zbl 1391.76732
Li, Jizhou; Riviere, Beatrice
2015
Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients. Zbl 1290.65006
Liu, Kun; Rivière, Béatrice M.
2013
Convergence of high-order methods for miscible displacement. Zbl 1171.76025
Epshteyn, Yekaterina; Rivière, Beatrice
2008
Coupling of locally conservative methods for single phase flow. Zbl 1023.76022
Rivière, Béatrice; Wheeler, Mary
2002
On the coupling of finite volume and discontinuous Galerkin method for elliptic problems. Zbl 1214.65056
Chidyagwai, Prince; Mishev, Ilya; Rivière, Béatrice
2011
A finite element method with strong mass conservation for Biot’s linear consolidation model. Zbl 1407.65192
Kanschat, Guido; Riviere, Beatrice
2018
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
2016
A mathematical model of intestinal oedema formation. Zbl 1304.92073
Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen
2014
Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1361.76007
Riviere, Beatrice; Sardar, Shirin
2014
Convergence of a high order method in time and space for the miscible displacement equations. Zbl 1327.65176
Li, Jizhou; Riviere, Beatrice; Walkington, Noel
2015
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145
Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice
2017
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
2020
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.
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
2017
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.
2019
Numerical method of characteristics for one-dimensional blood flow. Zbl 1349.76932
Acosta, Sebastian; Puelz, Charles; Rivière, Béatrice; Penny, Daniel J.; Rusin, Craig G.
2015
Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Zbl 1161.65340
Epshteyn, Y.; Khan, T.; Rivière, B.
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
2009
Discontinuous finite element methods for coupled surface-subsurface flow and transport problems. Zbl 1426.76300
Riviere, Beatrice
2014
Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations. Zbl 1457.76161
Girault, Vivette; Li, Jizhou; Rivière, Beatrice M.
2017
A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. Zbl 07220520
Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice
2020
Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn-Hilliard equation. Zbl 1418.65134
Liu, Chen; Frank, Florian; Rivière, Béatrice M.
2019
Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097
Cappanera, Loïc; Rivière, Béatrice
2019
A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis
2018
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
2021
Analysis of a multi-numerics/multi-physics problem. Zbl 1216.76033
Rivière, Béatrice
2004
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
2019
A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
2021
Locally conservative algorithms for flow. Zbl 0990.76045
Rivière, Béatrice; Wheeler, Mary F.
2000
Convergence analysis of a coupled method for time-dependent convection-diffusion equations. Zbl 1283.65085
Riviere, Beatrice; Yang, Xin
2014
A semi-implicit method for incompressible three-phase flow in porous media. Zbl 1387.76050
Dong, Justin; Rivière, Béatrice
2016
A sequential discontinuous Galerkin method for the coupling of flow and geomechanics. Zbl 1404.65162
Chaabane, Nabil; Rivière, Béatrice
2018
A splitting-based finite element method for the Biot poroelasticity system. Zbl 1409.76057
Chaabane, Nabil; Rivière, Béatrice
2018
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.
2020
A multinumerics scheme for incompressible two-phase flow. Zbl 07337102
Doyle, Bryan; Riviere, Beatrice; Sekachev, Michael
2020
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
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
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
2020
A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. Zbl 07220520
Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice
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.
2020
A multinumerics scheme for incompressible two-phase flow. Zbl 07337102
Doyle, Bryan; Riviere, Beatrice; Sekachev, Michael
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.
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.
2019
Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097
Cappanera, Loïc; Rivière, Béatrice
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
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
2018
A finite element method with strong mass conservation for Biot’s linear consolidation model. Zbl 1407.65192
Kanschat, Guido; Riviere, Beatrice
2018
A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis
2018
A sequential discontinuous Galerkin method for the coupling of flow and geomechanics. Zbl 1404.65162
Chaabane, Nabil; Rivière, Béatrice
2018
A splitting-based finite element method for the Biot poroelasticity system. Zbl 1409.76057
Chaabane, Nabil; Rivière, Béatrice
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
2017
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145
Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice
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.
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
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.
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
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
2016
A semi-implicit method for incompressible three-phase flow in porous media. Zbl 1387.76050
Dong, Justin; Rivière, Béatrice
2016
Numerical solutions of the incompressible miscible displacement equations in heterogeneous media. Zbl 1423.76254
Li, Jizhou; Riviere, Beatrice
2015
High order discontinuous Galerkin method for simulating miscible flooding in porous media. Zbl 1391.76732
Li, Jizhou; Riviere, Beatrice
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
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.
2015
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
2014
A mathematical model of intestinal oedema formation. Zbl 1304.92073
Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen
2014
Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1361.76007
Riviere, Beatrice; Sardar, Shirin
2014
Discontinuous finite element methods for coupled surface-subsurface flow and transport problems. Zbl 1426.76300
Riviere, Beatrice
2014
Convergence analysis of a coupled method for time-dependent convection-diffusion equations. Zbl 1283.65085
Riviere, Beatrice; Yang, Xin
2014
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
2013
Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients. Zbl 1290.65006
Liu, Kun; Rivière, Béatrice M.
2013
Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-transport problem. Zbl 1234.35178
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
2012
Convergence of a discontinuous Galerkin method for the miscible displacement equation under low regularity. Zbl 1414.76036
Rivière, Beatrice M.; Walkington, Noel J.
2011
Discontinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions. Zbl 1228.65227
Wihler, Thomas P.; Rivière, Béatrice
2011
On the coupling of finite volume and discontinuous Galerkin method for elliptic problems. Zbl 1214.65056
Chidyagwai, Prince; Mishev, Ilya; Rivière, Béatrice
2011
A strongly conservative finite element method for the coupling of Stokes and Darcy flow. Zbl 1425.76068
Kanschat, G.; Rivière, B.
2010
DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082
Girault, Vivette; Rivière, Béatrice
2009
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
2009
On the solution of the coupled Navier-Stokes and Darcy equations. Zbl 1230.76023
Chidyagwai, Prince; Rivière, Béatrice
2009
Analysis of $$hp$$ discontinuous Galerkin methods for incompressible two-phase flow. Zbl 1157.76024
Epshteyn, Yekaterina; Rivière, Beatrice
2009
Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations. Zbl 1203.65255
Guzmán, Johnny; Rivière, Béatrice
2009
Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method. Zbl 1161.65340
Epshteyn, Y.; Khan, T.; Rivière, B.
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
2009
Discontinuous Galerkin methods for solving elliptic and parabolic equations. Theory and implementation. Zbl 1153.65112
Rivière, Béatrice
2008
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010
Çeşmelioğlu, A.; Rivière, B.
2008
Convergence of high-order methods for miscible displacement. Zbl 1171.76025
Epshteyn, Yekaterina; Rivière, Beatrice
2008
Estimation of penalty parameters for symmetric interior penalty Galerkin methods. Zbl 1141.65078
Epshteyn, Yekaterina; Rivière, Béatrice
2007
Fully implicit discontinuous finite element methods for two-phase flow. Zbl 1370.76085
Epshteyn, Y.; Rivière, B.
2007
Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045
Rivière, Béatrice; Shaw, Simon; Whiteman, J. R.
2007
Subgrid stabilized defect correction methods for the Navier-Stokes equations. Zbl 1124.76029
Kaya, Songul; Layton, William; Rivière, Béatrice
2006
A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034
Kaya, Songul; Rivière, Béatrice
2006
Adaptive simulations of two-phase flow by discontinuous Galerkin methods. Zbl 1120.76327
Klieber, W.; Rivière, B.
2006
Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038
Rivière, Béatrice; Girault, Vivette
2006
Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers. Zbl 1135.65036
Rivière, Béatrice; Shaw, Simon
2006
On the solution of incompressible two-phase flow by a $$p$$-version discontinuous Galerkin method. Zbl 1115.76047
Epshteyn, Y.; Rivière, B.
2006
Locally conservative coupling of Stokes and Darcy flows. Zbl 1084.35063
Rivière, Béatrice; Yotov, Ivan
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.
2005
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
2005
A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. Zbl 1096.76026
Kaya, Songul; Rivière, Béatrice
2005
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
2005
Analysis of a multi-numerics/multi-physics problem. Zbl 1216.76033
Rivière, Béatrice
2004
A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. Zbl 1059.65098
Rivière, B.; Wheeler, M. F.
2003
Superconvergence and $$H(div)$$ projection for discontinuous Galerkin methods. Zbl 1030.76026
Bastian, Peter; Rivière, Béatrice
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
2003
Discontinuous finite element methods for acoustic and elastic wave problems. Zbl 1080.76039
Rivière, Béatrice; Wheeler, Mary F.
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
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.
2002
Discontinuous Galerkin methods for flow and transport problems in porous media. Zbl 0996.76056
Rivière, Béatrice; Wheeler, Mary F.
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.
2002
Non-conforming methods for transport with nonlinear reaction. Zbl 1068.76053
Rivière, Béatrice; Wheeler, Mary F.
2002
Coupling of locally conservative methods for single phase flow. Zbl 1023.76022
Rivière, Béatrice; Wheeler, Mary
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
2001
A discontinuous Galerkin method applied to nonlinear parabolic equations. Zbl 0946.65078
Rivière, Béatrice; Wheeler, Mary F.
2000
Discontinuous Galerkin method applied to a single phase flow in porous media. II. Zbl 1049.76565
Rivière, Béatrice; Wheeler, Mary F.; Banas, Krzysztof
2000
Locally conservative algorithms for flow. Zbl 0990.76045
Rivière, Béatrice; Wheeler, Mary F.
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
1999
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### Cited by 1,653 Authors

 57 Rivière, Beatrice M. 36 Wheeler, Mary Fanett 24 Chung, Tsz Shun Eric 23 Hou, Yanren 22 Antonietti, Paola Francesca 22 He, Yinnian 21 Baccouch, Mahboub 21 Sun, Shuyu 20 Cockburn, Bernardo 19 He, Xiaoming 17 Schötzau, Dominik 16 Li, Jian 15 Gatica, Gabriel N. 15 Girault, Vivette 15 Karasözen, Bülent 15 Shang, Yueqiang 14 Lin, Tao 14 Zheng, Haibiao 13 Chen, Zhangxin 13 Feng, Xiaobing 13 Liu, Hailiang 13 Uzunca, Murat 13 Yang, Jiming 13 Yotov, Ivan 12 Chen, Yanping 12 Efendiev, Yalchin R. 12 Liu, Jiangguo 12 Oyarzúa, Ricardo 11 Dolejší, Vít 11 Gudi, Thirupathi 11 Huang, Yunqing 11 Mazzieri, Ilario 11 Pani, Amiya Kumar 11 Ruiz-Baier, Ricardo 11 Shu, Chi-Wang 10 Adjerid, Slimane 10 Dawson, Clint N. 10 Lin, Yanping 10 Song, Lunji 9 Brenner, Susanne Cecelia 9 Ern, Alexandre 9 Ferrer, Esteban 9 Houston, Paul 9 Lee, Sanghyun 9 Park, Eun-Jae 8 Bastian, Peter 8 Ervin, Vincent J. 8 Feistauer, Miloslav 8 Frank, Florian 8 Gao, Yali 8 Kumar, Sarvesh 8 Mei, Liquan 8 Quarteroni, Alfio M. 8 Sayas, Francisco-Javier 8 Wang, Xiaoming 8 Ye, Xiu 8 Yücel, Hamdullah 8 Zhang, Xu 7 Al Mahbub, Md. Abdullah 7 Burman, Erik 7 Çeşmelioğlu, Ayçıl 7 Di Pietro, Daniele Antonio 7 Droniou, Jérôme 7 Epshteyn, Yekaterina 7 Han, Daozhi 7 Langer, Ulrich 7 Li, Jichun 7 Loula, Abimael Fernando Dourado 7 Mu, Lin 7 Rui, Hongxing 7 Rybak, Iryna V. 7 Scovazzi, Guglielmo 7 Shi, Feng 7 Stamm, Benjamin 7 Vohralík, Martin 7 Wihler, Thomas Pascal 7 Xu, Yan 7 Yan, Jue 7 Yang, Yang 7 Zhang, Zhimin 7 Zuo, Liyun 6 Ambartsumyan, Ilona 6 Cai, Mingchao 6 Chaabane, Nabil 6 Georgoulis, Emmanuil H. 6 Ginting, Victor 6 Guo, Hui 6 Hagstrom, Thomas M. 6 Hofer, Christoph D. 6 Jenkins, Eleanor W. 6 Kou, Jisheng 6 Kronbichler, Martin 6 Lazarov, Raytcho D. 6 Lee, Hyesuk Kwon 6 Liu, Chen 6 Marini, Luisa Donatella 6 Mozolevsky, Igor E. 6 Nataraj, Neela 6 Perugia, Ilaria 6 Pop, Iuliu Sorin ...and 1,553 more Authors
all top 5

### Cited in 127 Serials

 138 Computer Methods in Applied Mechanics and Engineering 130 Journal of Scientific Computing 104 Journal of Computational and Applied Mathematics 103 Journal of Computational Physics 76 Computers & Mathematics with Applications 53 Numerical Methods for Partial Differential Equations 51 Applied Numerical Mathematics 44 Mathematics of Computation 39 Computational Geosciences 38 Numerische Mathematik 36 SIAM Journal on Scientific Computing 32 Applied Mathematics and Computation 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 SIAM Journal on Numerical Analysis 22 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 16 Communications in Computational Physics 15 Journal of Numerical Mathematics 14 Advances in Applied Mathematics and Mechanics 13 International Journal for Numerical Methods in Engineering 13 Applied Mathematical Modelling 12 Calcolo 12 International Journal of Numerical Analysis and Modeling 11 Computers and Fluids 11 Journal of Mathematical Analysis and Applications 10 Mathematics and Computers in Simulation 10 Numerical Algorithms 10 Advances in Computational Mathematics 9 International Journal of Computer Mathematics 8 International Journal for Numerical Methods in Fluids 8 Applied Mathematics Letters 8 Computational and Applied Mathematics 7 Mathematical Methods in the Applied Sciences 7 Journal of Applied Mathematics and Computing 7 Science China. Mathematics 6 Applicable Analysis 6 Computational Methods in Applied Mathematics 6 Communications on Applied Mathematics and Computation 5 BIT 5 Computational Mechanics 5 Applications of Mathematics 5 Multiscale Modeling & Simulation 5 Advances in Difference Equations 4 Mathematical Biosciences 4 Acta Applicandae Mathematicae 4 Japan Journal of Industrial and Applied Mathematics 4 Communications in Numerical Methods in Engineering 4 Abstract and Applied Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Computational Methods 4 Advances in Numerical Analysis 4 GEM - International Journal on Geomathematics 4 Journal of Applied Analysis and Computation 4 Results in Applied Mathematics 3 Journal of Differential Equations 3 Numerical Functional Analysis and Optimization 3 Numerical Linear Algebra with Applications 3 Mathematical Problems in Engineering 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Systems Science and Complexity 3 East Asian Journal on Applied Mathematics 2 Acta Mechanica 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Computational Optimization and Applications 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 International Journal of Computational Fluid Dynamics 2 Journal of Inequalities and Applications 2 European Journal of Mechanics. A. Solids 2 Foundations of Computational Mathematics 2 AIMS Mathematics 2 SMAI Journal of Computational Mathematics 2 Electronic Research Archive 1 Bulletin of the Australian Mathematical Society 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 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Journal of Complexity 1 European Journal of Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Imaging and Vision 1 Applied Mathematics. Series B (English Edition) 1 ETNA. Electronic Transactions on Numerical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations ...and 27 more Serials
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### Cited in 32 Fields

 1,134 Numerical analysis (65-XX) 686 Fluid mechanics (76-XX) 528 Partial differential equations (35-XX) 164 Mechanics of deformable solids (74-XX) 46 Geophysics (86-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 30 Biology and other natural sciences (92-XX) 22 Optics, electromagnetic theory (78-XX) 17 Statistical mechanics, structure of matter (82-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Integral equations (45-XX) 11 Computer science (68-XX) 10 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 6 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Potential theory (31-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

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