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Rivière, Beatrice M.

Author ID: riviere.beatrice-m Recent zbMATH articles by "Rivière, Beatrice M."
Published as: Rivière, Béatrice; Riviere, Beatrice; Rivière, B.; Rivière, Béatrice M.; Rivière, Beatrice; Riviere, Beatrice M.; Rivière, Beatrice M.; Riviere, B.
Homepage: https://compm.rice.edu/people-2/beatrice-riviere/
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Publications by Year

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 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. Mathematics
6 Computational Mechanics
6 Applications of Mathematics
5 Mathematical Biosciences
5 Japan Journal of Industrial and Applied Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
5 Discrete and Continuous Dynamical Systems. Series B
5 International Journal of Computational Methods
5 Advances in Difference Equations
5 GEM - International Journal on Geomathematics
5 Results in Applied Mathematics
4 Journal of Differential Equations
4 Acta Applicandae Mathematicae
4 Journal of Computational Mathematics
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 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

Citations by Year

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