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Author ID: girault.vivette Recent zbMATH articles by "Girault, Vivette"
Published as: Girault, Vivette; Girault, V.
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
Documents Indexed: 119 Publications since 1967, including 4 Books
Co-Authors: 69 Co-Authors with 106 Joint Publications
2,214 Co-Co-Authors
all top 5

Serials

11 Numerische Mathematik
9 SIAM Journal on Numerical Analysis
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Mathematics of Computation
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 IMA Journal of Numerical Analysis
5 Journal of Numerical Mathematics
4 Computer Methods in Applied Mechanics and Engineering
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Comptes Rendus de l’Académie des Sciences. Série I
3 SIAM Journal on Mathematical Analysis
3 Computational Geosciences
2 Mathematical Methods in the Applied Sciences
2 Numerical Methods for Partial Differential Equations
2 East-West Journal of Numerical Mathematics
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Lecture Notes in Mathematics
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 International Journal of Non-Linear Mechanics
1 International Journal for Numerical Methods in Fluids
1 Journal of Computational Physics
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Calcolo
1 Czechoslovak Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of the Faculty of Science. Section I A
1 Portugaliae Mathematica
1 Proceedings of the Japan Academy. Series A
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Differential and Integral Equations
1 Divulgaciones Matemáticas
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Portugaliae Mathematica. Nova Série
1 Revue Française d’Informatique et de Recherche Opérationnelle
1 Springer Series in Computational Mathematics
1 Advances in Mechanics and Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 5,387 times in 4,368 Documents Cited by Year
Finite element methods for Navier-Stokes equations. Theory and algorithms. (Extended version of the 1979 publ.). Zbl 0585.65077
Girault, Vivette; Raviart, Pierre-Arnaud
1986
Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081
Girault, V.; Raviart, P.-A.
640
1979
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
397
1979
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
361
1998
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
180
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
173
1999
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140
Amrouche, Chérif; Girault, Vivette
130
1994
DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082
Girault, Vivette; Rivière, Béatrice
106
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.
83
2005
A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007
Bernardi, C.; Girault, V.
80
1998
Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032
Girault, Vivette; Lions, Jacques-Louis
70
2001
Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces. Zbl 0878.35029
Amrouche, C.; Girault, V.; Giroire, J.
70
1997
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
Girault, V.; Glowinski, R.
63
1995
Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra. Zbl 0997.76043
Girault, V.; Lions, J.-L.
62
2001
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
60
1981
Weighted Sobolev spaces for Laplace’s equation in \(\mathbb{R}^ n\). Zbl 0836.35038
Amrouche, C.; Girault, V.; Giroire, J.
56
1994
Weak and classical solutions of a family of second grade fluids. Zbl 0891.76005
Cioranescu, D.; Girault, V.
48
1997
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
45
2008
Mortar multiscale finite element methods for Stokes-Darcy flows. Zbl 1396.76051
Girault, Vivette; Vassilev, Danail; Yotov, Ivan
40
2014
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
40
2003
On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047
Amrouche, Chérif; Girault, Vivette
39
1991
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
36
2016
Finite-element error estimates for the MAC scheme. Zbl 0853.76037
Girault, V.; Lopez, H.
32
1996
Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions in \(R^ 3\). Zbl 0666.76053
Girault, V.
31
1988
A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194
Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E.
31
2015
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
30
2005
A well-posed problem for the exterior Stokes equations in two and three dimensions. Zbl 0731.35078
Girault, Vivette; Sequeira, Adelia
28
1991
Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075
Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan
27
2008
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
26
2013
A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme. Zbl 1407.76111
Abboud, Hyam; Girault, Vivette; Sayah, Toni
26
2009
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
24
1999
Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation. Zbl 0753.76130
Bernardi, Christine; Girault, Vivette; Maday, Yvon
23
1992
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
23
2002
Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085
Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P.
20
2000
Theory of a finite difference method on irregular networks. Zbl 0296.65049
Girault, V.
20
1974
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
18
2015
Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in \(L^1\). Zbl 1144.65072
Casado-Díaz, J.; Chacón Rebollo, T.; Girault, V.; Gómez Mármol, M.; Murat, F.
17
2007
Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001
Cioranescu, D.; Girault, V.; Rajagopal, K. R.
17
2016
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
16
2005
A high order term-by-term stabilization solver for incompressible flow problems. Zbl 1426.76234
Chacón Rebollo, T.; Gómez Mármol, M.; Girault, V.; Sánchez Muñoz, I.
15
2013
The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces. Zbl 0831.35125
Girault, V.
14
1994
Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153
Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T.
14
2011
Inf-sup condition for the 3-D \(P_2\)-iso-\(P_1\) Taylor-Hood finite element; application to Maxwell equations. (Condition inf-sup pour l’élément fini de Taylor-Hood \(P_2\)-iso-\(P_1\), 3-D; application aux équations de Maxwell.) Zbl 1021.78009
Ciarlet, Patrick jun.; Girault, Vivette
14
2002
A stream-function–vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces. Zbl 0761.35083
Girault, V.; Giroire, J.; Sequeira, A.
13
1992
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
13
2014
Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038
Rivière, Béatrice; Girault, Vivette
13
2006
The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of \(\mathbb{R}^ 3\). Zbl 0779.35088
Girault, V.
12
1992
An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036
Girault, V.; Raviart, P.-A.
12
1982
Discretization of an unsteady flow through a porous solid modeled by Darcy’s equations. Zbl 1157.76023
Bernardi, Christine; Girault, Vivette; Rajagopal, Kumbakonam R.
12
2008
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Zbl 1228.35176
Girault, V.; Guillén-González, F.
12
2011
A fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127
Girault, Vivette; Glowinski, Roland; Pan, T. W.
12
1999
A combined finite element and marker and cell method for solving Navier-Stokes equations. Zbl 0313.65105
Girault, V.
10
1976
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
10
2003
A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations. Zbl 1002.76067
Girault, V.; Glowinski, R.; López, H.; Vila, J.-P.
9
2001
Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084
Amrouche, Chérif; Girault, Vivette
9
1992
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
9
2016
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
8
2016
One time-step finite element discretization of the equation of motion of two-fluid flows. Zbl 1089.76032
Girault, V.; López, H.; Maury, B.
7
2006
Domain decomposition for linear elasticity with DG jumps and mortars. Zbl 1227.74069
Girault, Vivette; Pencheva, Gergina V.; Wheeler, Mary F.; Wildey, Tim M.
7
2009
\(L^p\) and \(W^{1,p}\) regularity of the solution of a steady transport equation. (Régularité dans \(L^p\) et \(W^{1,p}\) de la solution d’une équation de transport stationnaire.) Zbl 1200.35207
Girault, Vivette; Tartar, Luc
7
2010
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
7
2010
Discontinuous Galerkin methods. Zbl 1149.65323
Girault, Vivette; Wheeler, Mary F.
6
2008
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145
Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice
6
2017
On a time-dependent grade-two fluid model in two dimensions. Zbl 1122.76009
Girault, V.; Saadouni, M.
6
2007
Stability of the finite element Stokes projection in \(W^{1,\infty}\). Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
6
2004
A fully coupled scheme using virtual element method and finite volume for poroelasticity. Zbl 1434.86001
Coulet, Julien; Faille, Isabelle; Girault, Vivette; Guy, Nicolas; Nataf, Frédéric
6
2020
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
6
2016
Finite element methods for Darcy’s problem coupled with the heat equation. Zbl 1393.35159
Bernardi, Christine; Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Murat, François; Sayah, Toni
6
2018
A domain decomposition and mixed method for a linear parabolic boundary value problem. Zbl 1062.65101
Girault, V.; Glowinski, R.; López, H.
5
2004
A local projection operator for quadrilateral finite elements. Zbl 0856.65128
Girault, V.
5
1995
Weighted Sobolev spaces and Laplace’s equation in \(\mathbb{R}^ n\). I. (Espaces de Sobolev avec poids et équation de Laplace dans \(\mathbb{R}^ n\). I.) Zbl 0801.46035
Amrouche, Chérif; Girault, Vivette; Giroire, Jean
4
1992
Nonelliptic approximation of a class of partial differential equations with Neumann boundary condition. Zbl 0368.65055
Girault, V.
4
1976
A stream function-vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces. (Formulation variationnelle en fonction courant-tourbillon du problème de Stokes extérieur dans des espaces de Sobolev à poids.) Zbl 0737.35064
Girault, Vivette; Giroire, Jean; Sequeira, Adelia
4
1991
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
4
2010
A posteriori error estimates for Darcy’s problem coupled with the heat equation. Zbl 1434.65226
Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Sayah, Toni
4
2019
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
4
2001
Numerical methods for grade-two fluid models: finite-element discretizations and algorithms. Zbl 1318.76009
Girault, Vivette; Hecht, Frédéric
3
2011
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 finite element problem issued from fictious domain techniques. Zbl 1002.65127
Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O.
3
2001
A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 07413158
Girault, Vivette; Lu, Xueying; Wheeler, Mary F.
3
2020
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
3
2021
Two-grid finite element scheme for the fully discrete time-dependent Navier-Stokes problem. Zbl 1078.65083
Abboud, Hyam; Girault, Vivette; Sayah, Toni
3
2005
Variational and classical solutions of a family of fluids of grade two. (Solutions variationnelles et classiques d’une famille de fluides de grade deux.) Zbl 0853.76003
Cioranescu, Doina; Girault, Vivette
3
1996
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
3
2002
A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis
3
2018
On Friedrichs constant and Horgan-Payne angle for LBB condition. Zbl 1360.35174
Dauge, Monique; Bernardi, Christine; Costabel, Martin; Girault, Vivette
2
2014
A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
2
2021
A reduced discrete inf-sup condition in \(L^p\) for incompressible flows and application. Zbl 1321.35154
Chacón Rebollo, Tomás; Girault, Vivette; Mármol, Macarena Gómez; Muñoz, Isabel Sánchez
2
2015
Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035
Belgacem, F. Ben; Girault, V.; Jelassi, F.
2
2018
Finite element approximation of a strain-limiting elastic model. Zbl 1465.74156
Bonito, Andrea; Girault, Vivette; Süli, Endre
2
2020
Mixed formulation of a linearized lubrication fracture model in a poro-elastic medium. Zbl 1416.35263
Girault, Vivette; Wheeler, Mary F.; Kumar, Kundan; Singh, Gurpreet
2
2019
The divergence, curl and Stokes operators in exterior domains of \(\mathbb{R}^ 3\). Zbl 0837.35115
Girault, Vivette
2
1993
A trace result for nonconforming Crouzeix-Raviart finite elements, application to the discretization of Darcy’s equations. (Un résultat de trace pour les éléments finis de Crouzeix-Raviart, application à la discrétisation des équations de Darcy.) Zbl 1110.65107
Bernardi, Christine; Girault, Vivette
1
2007
Weighted Sobolev spaces and Laplace’s equation in \({\mathbb{R}{}}^ n\). II. (Espaces de Sobolev avec poids et équation de Laplace dans \({\mathbb{R}{}}^ n\). II.) Zbl 0793.46013
Amrouche, Chérif; Girault, Vivette; Giroire, Jean
1
1992
Curl-conforming finite element methods for Navier-Stokes equations with nonstandard boundary conditions in \({\mathcal R}^ 3\). Zbl 0702.76037
Girault, V.
1
1990
A mixed finite element method for the stationary Stokes equations. Zbl 0387.76029
Girault, V.
1
1978
Spectral methods for the Stokes problem in stream-function formulation. Zbl 0765.76059
Bernardi, Christine; Coppoletta, Giuseppe; Girault, Vivette; Maday, Yvon
1
1990
Solutions of a two-dimensional grade-two fluid model with a tangential boundary condition on non-smooth domains. Zbl 1031.76520
Girault, Vivette; Scott, Ridgway
1
1998
Error analysis of a finite element realization of a fictitious domain/domain decomposition method for elliptic problems. Zbl 0878.65087
Girault, V.; Glowinski, R.; Lopez, H.
1
1997
Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036
Amara, M.; Bernardi, C.; Girault, V.; Hecht, F.
1
2005
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
3
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
2
2021
A fully coupled scheme using virtual element method and finite volume for poroelasticity. Zbl 1434.86001
Coulet, Julien; Faille, Isabelle; Girault, Vivette; Guy, Nicolas; Nataf, Frédéric
6
2020
A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 07413158
Girault, Vivette; Lu, Xueying; Wheeler, Mary F.
3
2020
Finite element approximation of a strain-limiting elastic model. Zbl 1465.74156
Bonito, Andrea; Girault, Vivette; Süli, Endre
2
2020
A posteriori error estimates for Darcy’s problem coupled with the heat equation. Zbl 1434.65226
Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Sayah, Toni
4
2019
Mixed formulation of a linearized lubrication fracture model in a poro-elastic medium. Zbl 1416.35263
Girault, Vivette; Wheeler, Mary F.; Kumar, Kundan; Singh, Gurpreet
2
2019
Finite element methods for Darcy’s problem coupled with the heat equation. Zbl 1393.35159
Bernardi, Christine; Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Murat, François; Sayah, Toni
6
2018
A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis
3
2018
Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035
Belgacem, F. Ben; Girault, V.; Jelassi, F.
2
2018
On Oldroyd models without explicit dissipation. Zbl 1448.76019
Girault, V.; Scott, L. Ridgway
1
2018
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145
Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice
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
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
36
2016
Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001
Cioranescu, D.; Girault, V.; Rajagopal, K. R.
17
2016
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
9
2016
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
8
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
6
2016
A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194
Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E.
31
2015
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
18
2015
A reduced discrete inf-sup condition in \(L^p\) for incompressible flows and application. Zbl 1321.35154
Chacón Rebollo, Tomás; Girault, Vivette; Mármol, Macarena Gómez; Muñoz, Isabel Sánchez
2
2015
Mortar multiscale finite element methods for Stokes-Darcy flows. Zbl 1396.76051
Girault, Vivette; Vassilev, Danail; Yotov, Ivan
40
2014
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
13
2014
On Friedrichs constant and Horgan-Payne angle for LBB condition. Zbl 1360.35174
Dauge, Monique; Bernardi, Christine; Costabel, Martin; Girault, Vivette
2
2014
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
26
2013
A high order term-by-term stabilization solver for incompressible flow problems. Zbl 1426.76234
Chacón Rebollo, T.; Gómez Mármol, M.; Girault, V.; Sánchez Muñoz, I.
15
2013
Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153
Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T.
14
2011
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Zbl 1228.35176
Girault, V.; Guillén-González, F.
12
2011
Numerical methods for grade-two fluid models: finite-element discretizations and algorithms. Zbl 1318.76009
Girault, Vivette; Hecht, Frédéric
3
2011
\(L^p\) and \(W^{1,p}\) regularity of the solution of a steady transport equation. (Régularité dans \(L^p\) et \(W^{1,p}\) de la solution d’une équation de transport stationnaire.) Zbl 1200.35207
Girault, Vivette; Tartar, Luc
7
2010
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
7
2010
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
4
2010
DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082
Girault, Vivette; Rivière, Béatrice
106
2009
A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme. Zbl 1407.76111
Abboud, Hyam; Girault, Vivette; Sayah, Toni
26
2009
Domain decomposition for linear elasticity with DG jumps and mortars. Zbl 1227.74069
Girault, Vivette; Pencheva, Gergina V.; Wheeler, Mary F.; Wildey, Tim M.
7
2009
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
45
2008
Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075
Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan
27
2008
Discretization of an unsteady flow through a porous solid modeled by Darcy’s equations. Zbl 1157.76023
Bernardi, Christine; Girault, Vivette; Rajagopal, Kumbakonam R.
12
2008
Discontinuous Galerkin methods. Zbl 1149.65323
Girault, Vivette; Wheeler, Mary F.
6
2008
Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in \(L^1\). Zbl 1144.65072
Casado-Díaz, J.; Chacón Rebollo, T.; Girault, V.; Gómez Mármol, M.; Murat, F.
17
2007
On a time-dependent grade-two fluid model in two dimensions. Zbl 1122.76009
Girault, V.; Saadouni, M.
6
2007
A trace result for nonconforming Crouzeix-Raviart finite elements, application to the discretization of Darcy’s equations. (Un résultat de trace pour les éléments finis de Crouzeix-Raviart, application à la discrétisation des équations de Darcy.) Zbl 1110.65107
Bernardi, Christine; Girault, Vivette
1
2007
Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038
Rivière, Béatrice; Girault, Vivette
13
2006
One time-step finite element discretization of the equation of motion of two-fluid flows. Zbl 1089.76032
Girault, V.; López, H.; Maury, B.
7
2006
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.
83
2005
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
30
2005
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
16
2005
Two-grid finite element scheme for the fully discrete time-dependent Navier-Stokes problem. Zbl 1078.65083
Abboud, Hyam; Girault, Vivette; Sayah, Toni
3
2005
Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036
Amara, M.; Bernardi, C.; Girault, V.; Hecht, F.
1
2005
Stability of the finite element Stokes projection in \(W^{1,\infty}\). Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
6
2004
A domain decomposition and mixed method for a linear parabolic boundary value problem. Zbl 1062.65101
Girault, V.; Glowinski, R.; López, H.
5
2004
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
40
2003
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
10
2003
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
23
2002
Inf-sup condition for the 3-D \(P_2\)-iso-\(P_1\) Taylor-Hood finite element; application to Maxwell equations. (Condition inf-sup pour l’élément fini de Taylor-Hood \(P_2\)-iso-\(P_1\), 3-D; application aux équations de Maxwell.) Zbl 1021.78009
Ciarlet, Patrick jun.; Girault, Vivette
14
2002
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
3
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
180
2001
Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032
Girault, Vivette; Lions, Jacques-Louis
70
2001
Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra. Zbl 0997.76043
Girault, V.; Lions, J.-L.
62
2001
A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations. Zbl 1002.76067
Girault, V.; Glowinski, R.; López, H.; Vila, J.-P.
9
2001
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
4
2001
A finite element problem issued from fictious domain techniques. Zbl 1002.65127
Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O.
3
2001
Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085
Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P.
20
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
173
1999
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
24
1999
A fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127
Girault, Vivette; Glowinski, Roland; Pan, T. W.
12
1999
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
361
1998
A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007
Bernardi, C.; Girault, V.
80
1998
Solutions of a two-dimensional grade-two fluid model with a tangential boundary condition on non-smooth domains. Zbl 1031.76520
Girault, Vivette; Scott, Ridgway
1
1998
Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces. Zbl 0878.35029
Amrouche, C.; Girault, V.; Giroire, J.
70
1997
Weak and classical solutions of a family of second grade fluids. Zbl 0891.76005
Cioranescu, D.; Girault, V.
48
1997
Error analysis of a finite element realization of a fictitious domain/domain decomposition method for elliptic problems. Zbl 0878.65087
Girault, V.; Glowinski, R.; Lopez, H.
1
1997
Finite-element error estimates for the MAC scheme. Zbl 0853.76037
Girault, V.; Lopez, H.
32
1996
Variational and classical solutions of a family of fluids of grade two. (Solutions variationnelles et classiques d’une famille de fluides de grade deux.) Zbl 0853.76003
Cioranescu, Doina; Girault, Vivette
3
1996
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
Girault, V.; Glowinski, R.
63
1995
A local projection operator for quadrilateral finite elements. Zbl 0856.65128
Girault, V.
5
1995
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140
Amrouche, Chérif; Girault, Vivette
130
1994
Weighted Sobolev spaces for Laplace’s equation in \(\mathbb{R}^ n\). Zbl 0836.35038
Amrouche, C.; Girault, V.; Giroire, J.
56
1994
The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces. Zbl 0831.35125
Girault, V.
14
1994
The divergence, curl and Stokes operators in exterior domains of \(\mathbb{R}^ 3\). Zbl 0837.35115
Girault, Vivette
2
1993
Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation. Zbl 0753.76130
Bernardi, Christine; Girault, Vivette; Maday, Yvon
23
1992
A stream-function–vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces. Zbl 0761.35083
Girault, V.; Giroire, J.; Sequeira, A.
13
1992
The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of \(\mathbb{R}^ 3\). Zbl 0779.35088
Girault, V.
12
1992
Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084
Amrouche, Chérif; Girault, Vivette
9
1992
Weighted Sobolev spaces and Laplace’s equation in \(\mathbb{R}^ n\). I. (Espaces de Sobolev avec poids et équation de Laplace dans \(\mathbb{R}^ n\). I.) Zbl 0801.46035
Amrouche, Chérif; Girault, Vivette; Giroire, Jean
4
1992
Weighted Sobolev spaces and Laplace’s equation in \({\mathbb{R}{}}^ n\). II. (Espaces de Sobolev avec poids et équation de Laplace dans \({\mathbb{R}{}}^ n\). II.) Zbl 0793.46013
Amrouche, Chérif; Girault, Vivette; Giroire, Jean
1
1992
On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047
Amrouche, Chérif; Girault, Vivette
39
1991
A well-posed problem for the exterior Stokes equations in two and three dimensions. Zbl 0731.35078
Girault, Vivette; Sequeira, Adelia
28
1991
A stream function-vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces. (Formulation variationnelle en fonction courant-tourbillon du problème de Stokes extérieur dans des espaces de Sobolev à poids.) Zbl 0737.35064
Girault, Vivette; Giroire, Jean; Sequeira, Adelia
4
1991
Curl-conforming finite element methods for Navier-Stokes equations with nonstandard boundary conditions in \({\mathcal R}^ 3\). Zbl 0702.76037
Girault, V.
1
1990
Spectral methods for the Stokes problem in stream-function formulation. Zbl 0765.76059
Bernardi, Christine; Coppoletta, Giuseppe; Girault, Vivette; Maday, Yvon
1
1990
Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions in \(R^ 3\). Zbl 0666.76053
Girault, V.
31
1988
Finite element methods for Navier-Stokes equations. Theory and algorithms. (Extended version of the 1979 publ.). Zbl 0585.65077
Girault, Vivette; Raviart, Pierre-Arnaud
1986
An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036
Girault, V.; Raviart, P.-A.
12
1982
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
60
1981
Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081
Girault, V.; Raviart, P.-A.
640
1979
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
397
1979
A mixed finite element method for the stationary Stokes equations. Zbl 0387.76029
Girault, V.
1
1978
A combined finite element and marker and cell method for solving Navier-Stokes equations. Zbl 0313.65105
Girault, V.
10
1976
Nonelliptic approximation of a class of partial differential equations with Neumann boundary condition. Zbl 0368.65055
Girault, V.
4
1976
...and 1 more Documents
all top 5

Cited by 4,030 Authors

99 He, Yinnian
62 Girault, Vivette
58 Amrouche, Chérif
58 Bernardi, Christine
50 Gatica, Gabriel N.
41 Li, Jian
41 Wheeler, Mary Fanett
40 Rivière, Beatrice M.
38 Nicaise, Serge
36 Ciarlet, Patrick jun.
36 Gunzburger, Max D.
30 Shang, Yueqiang
29 Ciarlet, Philippe Gaston
29 Oyarzúa, Ricardo
28 Rodríguez, Rodolfo
28 Rui, Hongxing
27 Ruiz-Baier, Ricardo
27 Sun, Shuyu
25 Chen, Zhangxin
25 Ye, Xiu
24 Duan, Huoyuan
24 He, Xiaoming
24 Hecht, Frédéric
24 Hiptmair, Ralf
23 Burman, Erik
23 Carstensen, Carsten
23 Hou, Yanren
23 Layton, William J.
23 Zhang, Shangyou
22 Barrenechea, Gabriel R.
22 Chacón Rebollo, Tomás
22 Luo, Zhendong
21 Rebholz, Leo G.
21 Schötzau, Dominik
20 Brenner, Susanne Cecelia
20 Sayas, Francisco-Javier
19 Guillén González, Francisco M.
19 Zou, Jun
18 Boffi, Daniele
18 Li, Kaitai
18 Mora, David
18 Quarteroni, Alfio M.
18 Ruas, Vitoriano
18 Shi, Dongyang
17 Huang, Pengzhan
17 Kumar, Kundan
17 Linke, Alexander
17 Lube, Gert
17 Olshanskii, Maxim A.
17 Pasciak, Joseph E.
17 Salgado, Abner J.
17 Xu, Jinchao
16 Feng, Xinlong
16 Kaya, Songul
16 Ma, Yichen
16 Meddahi, Salim
16 Rojas-Medar, Marko Antonio
16 Süli, Endre E.
16 Tobiska, Lutz
16 Yotov, Ivan
15 Boulmezaoud, Tahar Zamène
15 Cockburn, Bernardo
15 Gastaldi, Lucia
15 Guermond, Jean-Luc
15 John, Volker
15 Li, Jichun
15 Park, Eun-Jae
15 Sayah, Toni
15 Wang, Junping
14 An, Rong
14 Beirão da Veiga, Lourenço
14 Ben Belgacem, Faker
14 Bramble, James H.
14 Buffa, Annalisa
14 Glowinski, Roland
14 Guzmán, Johnny
14 Han, Weimin
14 Huang, Yunqing
14 Maday, Yvon
14 Pani, Amiya Kumar
14 Yang, Suh-Yuh
14 Zheng, Haibiao
13 Bermúdez, Alfredo
13 Chung, Tsz Shun Eric
13 Larson, Mats G.
13 Lin, Tao
13 Mei, Liquan
13 Nochetto, Ricardo Horacio
13 Perugia, Ilaria
13 Reddy, B. Dayanand
13 Repin, Sergeĭ Igorevich
13 Si, Zhiyong
13 Stenberg, Rolf
13 Tabata, Masahisa
13 Winther, Ragnar
13 Zhu, Jiang
12 Barrett, John W.
12 Boukrouche, Mahdi
12 Chorfi, Nejmeddine
12 Chrysafinos, Konstantinos
...and 3,930 more Authors
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Cited in 324 Serials

304 Computer Methods in Applied Mechanics and Engineering
222 Numerische Mathematik
201 Mathematics of Computation
198 Journal of Scientific Computing
189 Journal of Computational and Applied Mathematics
168 Numerical Methods for Partial Differential Equations
164 Computers & Mathematics with Applications
127 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
125 Applied Numerical Mathematics
119 Journal of Computational Physics
104 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
103 SIAM Journal on Numerical Analysis
93 Applied Mathematics and Computation
91 Journal of Mathematical Analysis and Applications
89 Mathematical Methods in the Applied Sciences
88 International Journal for Numerical Methods in Fluids
56 RAIRO. Modélisation Mathématique et Analyse Numérique
50 Calcolo
50 Advances in Computational Mathematics
49 SIAM Journal on Scientific Computing
47 Comptes Rendus. Mathématique. Académie des Sciences, Paris
42 International Journal for Numerical Methods in Engineering
40 Numerical Functional Analysis and Optimization
38 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Applied Mathematics Letters
35 Computational Geosciences
34 Journal of Mathematical Fluid Mechanics
31 Applicable Analysis
31 Journal of Differential Equations
30 Numerical Algorithms
25 Archive for Rational Mechanics and Analysis
25 Computers and Fluids
25 Numerical Linear Algebra with Applications
23 Applied Mathematics and Mechanics. (English Edition)
23 Journal of Numerical Mathematics
23 International Journal of Numerical Analysis and Modeling
22 Japan Journal of Industrial and Applied Mathematics
22 SIAM Journal on Mathematical Analysis
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
20 Computational Methods in Applied Mathematics
19 International Journal of Computer Mathematics
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Communications in Computational Physics
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Applications of Mathematics
15 Journal of Mathematical Sciences (New York)
15 Computational and Applied Mathematics
15 Abstract and Applied Analysis
15 Science China. Mathematics
14 SIAM Journal on Control and Optimization
14 Computational Mechanics
14 Communications in Numerical Methods in Engineering
14 Nonlinear Analysis. Real World Applications
14 Discrete and Continuous Dynamical Systems. Series S
13 BIT
13 Mathematics and Computers in Simulation
13 Mathematical and Computer Modelling
13 Communications in Partial Differential Equations
13 Journal of Elasticity
13 Multiscale Modeling & Simulation
12 Applied Mathematics and Optimization
12 Computing
12 Chinese Annals of Mathematics. Series B
12 Mathematical Problems in Engineering
12 Advances in Applied Mathematics and Mechanics
11 Engineering Analysis with Boundary Elements
11 Discrete and Continuous Dynamical Systems. Series B
11 International Journal of Computational Methods
11 S\(\vec{\text{e}}\)MA Journal
10 Quarterly of Applied Mathematics
10 Acta Applicandae Mathematicae
10 Boundary Value Problems
9 Acta Mathematicae Applicatae Sinica. English Series
9 Applied Mathematics. Series B (English Edition)
9 Differential Equations
9 Archives of Computational Methods in Engineering
9 Advances in Numerical Analysis
8 International Journal of Engineering Science
8 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
8 Journal of Functional Analysis
8 Applied Mathematical Modelling
8 Computational Optimization and Applications
8 Discrete and Continuous Dynamical Systems
8 Journal of Applied Mathematics and Computing
8 Analysis and Applications (Singapore)
8 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
8 Nonlinear Analysis. Theory, Methods & Applications
7 Journal of Fluid Mechanics
7 Journal of the Korean Mathematical Society
7 RAIRO. Analyse Numérique
7 Physica D
7 Calculus of Variations and Partial Differential Equations
7 International Journal of Computational Fluid Dynamics
7 Journal of Evolution Equations
7 Communications on Pure and Applied Analysis
6 Communications in Mathematical Physics
6 Aplikace Matematiky
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Journal of Mathematical Imaging and Vision
...and 224 more Serials
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Cited in 51 Fields

2,798 Numerical analysis (65-XX)
2,454 Fluid mechanics (76-XX)
2,034 Partial differential equations (35-XX)
520 Mechanics of deformable solids (74-XX)
355 Optics, electromagnetic theory (78-XX)
255 Calculus of variations and optimal control; optimization (49-XX)
81 Classical thermodynamics, heat transfer (80-XX)
77 Geophysics (86-XX)
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69 Operator theory (47-XX)
61 Statistical mechanics, structure of matter (82-XX)
55 Biology and other natural sciences (92-XX)
48 Systems theory; control (93-XX)
41 Global analysis, analysis on manifolds (58-XX)
33 Probability theory and stochastic processes (60-XX)
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1 Mathematics education (97-XX)

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