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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: 123 Publications since 1967, including 4 Books
Co-Authors: 70 Co-Authors with 110 Joint Publications
2,509 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 IMA Journal of Numerical Analysis
6 Mathematics of Computation
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Computer Methods in Applied Mechanics and Engineering
5 Journal of Numerical Mathematics
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 Computers & Mathematics with Applications
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 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

104 Publications have been cited 7,333 times in 5,849 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.
763
1979
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
451
1998
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
416
1979
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
208
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
201
1999
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140
Amrouche, Chérif; Girault, Vivette
164
1994
DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082
Girault, Vivette; Rivière, Béatrice
159
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.
117
2005
A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007
Bernardi, C.; Girault, V.
96
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.
89
1997
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
86
1981
Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032
Girault, Vivette; Lions, Jacques-Louis
82
2001
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
Girault, V.; Glowinski, R.
73
1995
Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra. Zbl 0997.76043
Girault, V.; Lions, J.-L.
70
2001
Weighted Sobolev spaces for Laplace’s equation in \(\mathbb{R}^ n\). Zbl 0836.35038
Amrouche, C.; Girault, V.; Giroire, J.
67
1994
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
65
2008
Weak and classical solutions of a family of second grade fluids. Zbl 0891.76005
Cioranescu, D.; Girault, V.
58
1997
Mortar multiscale finite element methods for Stokes-Darcy flows. Zbl 1396.76051
Girault, Vivette; Vassilev, Danail; Yotov, Ivan
51
2014
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
44
2003
On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047
Amrouche, Chérif; Girault, Vivette
43
1991
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
42
2016
A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194
Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E.
41
2015
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
41
2013
Finite-element error estimates for the MAC scheme. Zbl 0853.76037
Girault, V.; Lopez, H.
39
1996
Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions in \(R^ 3\). Zbl 0666.76053
Girault, V.
38
1988
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
34
2005
A well-posed problem for the exterior Stokes equations in two and three dimensions. Zbl 0731.35078
Girault, Vivette; Sequeira, Adelia
32
1991
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
31
2009
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
29
2002
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
28
1999
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
27
2015
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
27
2005
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
Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001
Cioranescu, D.; Girault, V.; Rajagopal, K. R.
25
2016
Theory of a finite difference method on irregular networks. Zbl 0296.65049
Girault, V.
23
1974
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
21
1992
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.
21
2000
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.
20
2013
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.
19
2007
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Zbl 1228.35176
Girault, V.; Guillén-González, F.
19
2011
Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038
Rivière, Béatrice; Girault, Vivette
18
2006
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145
Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice
18
2017
The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of \(\mathbb{R}^ 3\). Zbl 0779.35088
Girault, V.
17
1992
Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153
Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T.
17
2011
The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces. Zbl 0831.35125
Girault, V.
17
1994
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
15
2014
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
15
2018
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
Discretization of an unsteady flow through a porous solid modeled by Darcy’s equations. Zbl 1157.76023
Bernardi, Christine; Girault, Vivette; Rajagopal, Kumbakonam R.
14
2008
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
14
2020
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
A fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127
Girault, Vivette; Glowinski, Roland; Pan, T. W.
13
1999
An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036
Girault, V.; Raviart, P.-A.
12
1982
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.
12
2001
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
12
2003
Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084
Amrouche, Chérif; Girault, Vivette
12
1992
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
11
2016
Curl-conforming finite element methods for Navier-Stokes equations with nonstandard boundary conditions in \({\mathcal R}^ 3\). Zbl 0702.76037
Girault, V.
11
1990
A combined finite element and marker and cell method for solving Navier-Stokes equations. Zbl 0313.65105
Girault, V.
11
1976
A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 1506.76075
Girault, Vivette; Lu, Xueying; Wheeler, Mary F.
11
2020
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
10
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
9
2016
Stability of the finite element Stokes projection in \(W^{1,\infty}\). Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
8
2004
One time-step finite element discretization of the equation of motion of two-fluid flows. Zbl 1089.76032
Girault, V.; López, H.; Maury, B.
8
2006
On a time-dependent grade-two fluid model in two dimensions. Zbl 1122.76009
Girault, V.; Saadouni, M.
8
2007
Domain decomposition for linear elasticity with DG jumps and mortars. Zbl 1227.74069
Girault, Vivette; Pencheva, Gergina V.; Wheeler, Mary F.; Wildey, Tim M.
8
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
8
2010
A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis
8
2018
A posteriori error estimates for Darcy’s problem coupled with the heat equation. Zbl 1434.65226
Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Sayah, Toni
8
2019
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
A domain decomposition and mixed method for a linear parabolic boundary value problem. Zbl 1062.65101
Girault, V.; Glowinski, R.; López, H.
6
2004
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
6
2019
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
Finite element approximation of a strain-limiting elastic model. Zbl 1465.74156
Bonito, Andrea; Girault, Vivette; Süli, Endre
6
2020
Two-grid finite element scheme for the fully discrete time-dependent Navier-Stokes problem. Zbl 1078.65083
Abboud, Hyam; Girault, Vivette; Sayah, Toni
5
2005
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
5
2001
A local projection operator for quadrilateral finite elements. Zbl 0856.65128
Girault, V.
5
1995
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
5
2010
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 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
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
The divergence, curl and Stokes operators in exterior domains of \(\mathbb{R}^ 3\). Zbl 0837.35115
Girault, Vivette
4
1993
Nonelliptic approximation of a class of partial differential equations with Neumann boundary condition. Zbl 0368.65055
Girault, V.
4
1976
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
4
1996
Numerical methods for grade-two fluid models: finite-element discretizations and algorithms. Zbl 1318.76009
Girault, Vivette; Hecht, Frédéric
4
2011
Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035
Ben Belgacem, F.; Girault, V.; Jelassi, F.
4
2018
A finite element problem issued from fictious domain techniques. Zbl 1002.65127
Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O.
3
2001
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
3
2002
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
Full discretization of Cauchy’s problem by Lavrentiev-finite element method. Zbl 07498293
Ben Belgacem, Faker; Girault, Vivette; Jelassi, Faten
3
2022
Spectral methods for the Stokes problem in stream-function formulation. Zbl 0765.76059
Bernardi, Christine; Coppoletta, Giuseppe; Girault, Vivette; Maday, Yvon
2
1990
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
On Friedrichs constant and Horgan-Payne angle for LBB condition. Zbl 1360.35174
Dauge, Monique; Bernardi, Christine; Costabel, Martin; Girault, Vivette
2
2014
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
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
Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036
Amara, M.; Bernardi, C.; Girault, V.; Hecht, F.
1
2005
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
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
Full discretization of Cauchy’s problem by Lavrentiev-finite element method. Zbl 07498293
Ben Belgacem, Faker; Girault, Vivette; Jelassi, Faten
3
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 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
14
2020
A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 1506.76075
Girault, Vivette; Lu, Xueying; Wheeler, Mary F.
11
2020
Finite element approximation of a strain-limiting elastic model. Zbl 1465.74156
Bonito, Andrea; Girault, Vivette; Süli, Endre
6
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
8
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
6
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
15
2018
A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis
8
2018
Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035
Ben Belgacem, F.; Girault, V.; Jelassi, F.
4
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
18
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.
42
2016
Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001
Cioranescu, D.; Girault, V.; Rajagopal, K. R.
25
2016
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
11
2016
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
10
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
9
2016
A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194
Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E.
41
2015
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
27
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
51
2014
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
15
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
41
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.
20
2013
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Zbl 1228.35176
Girault, V.; Guillén-González, F.
19
2011
Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153
Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T.
17
2011
Numerical methods for grade-two fluid models: finite-element discretizations and algorithms. Zbl 1318.76009
Girault, Vivette; Hecht, Frédéric
4
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
8
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
5
2010
DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082
Girault, Vivette; Rivière, Béatrice
159
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
31
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.
8
2009
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
65
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.
14
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.
19
2007
On a time-dependent grade-two fluid model in two dimensions. Zbl 1122.76009
Girault, V.; Saadouni, M.
8
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
18
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.
8
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.
117
2005
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
34
2005
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
27
2005
Two-grid finite element scheme for the fully discrete time-dependent Navier-Stokes problem. Zbl 1078.65083
Abboud, Hyam; Girault, Vivette; Sayah, Toni
5
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
8
2004
A domain decomposition and mixed method for a linear parabolic boundary value problem. Zbl 1062.65101
Girault, V.; Glowinski, R.; López, H.
6
2004
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
44
2003
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
12
2003
Choice of the penalty parameter for the finite element discretization of Navier-Stokes equations. (Choix du paramètre de pénalisation pour la discrétisation par éléments finis des équations de Navier-Stokes.) Zbl 1140.76361
Bernardi, Christine; Girault, Vivette; Hecht, Frédéric
1
2003
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
29
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
208
2001
Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032
Girault, Vivette; Lions, Jacques-Louis
82
2001
Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra. Zbl 0997.76043
Girault, V.; Lions, J.-L.
70
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.
12
2001
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
5
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.
21
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
201
1999
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
28
1999
A fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127
Girault, Vivette; Glowinski, Roland; Pan, T. W.
13
1999
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
451
1998
A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007
Bernardi, C.; Girault, V.
96
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.
89
1997
Weak and classical solutions of a family of second grade fluids. Zbl 0891.76005
Cioranescu, D.; Girault, V.
58
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.
39
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
4
1996
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
Girault, V.; Glowinski, R.
73
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
164
1994
Weighted Sobolev spaces for Laplace’s equation in \(\mathbb{R}^ n\). Zbl 0836.35038
Amrouche, C.; Girault, V.; Giroire, J.
67
1994
The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces. Zbl 0831.35125
Girault, V.
17
1994
The divergence, curl and Stokes operators in exterior domains of \(\mathbb{R}^ 3\). Zbl 0837.35115
Girault, Vivette
4
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
21
1992
The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of \(\mathbb{R}^ 3\). Zbl 0779.35088
Girault, V.
17
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
Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084
Amrouche, Chérif; Girault, Vivette
12
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
43
1991
A well-posed problem for the exterior Stokes equations in two and three dimensions. Zbl 0731.35078
Girault, Vivette; Sequeira, Adelia
32
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.
11
1990
Spectral methods for the Stokes problem in stream-function formulation. Zbl 0765.76059
Bernardi, Christine; Coppoletta, Giuseppe; Girault, Vivette; Maday, Yvon
2
1990
Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions in \(R^ 3\). Zbl 0666.76053
Girault, V.
38
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.
86
1981
Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081
Girault, V.; Raviart, P.-A.
763
1979
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
416
1979
A mixed finite element method for the stationary Stokes equations. Zbl 0387.76029
Girault, V.
1
1978
...and 4 more Documents
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Cited by 5,074 Authors

119 He, Yinnian
66 Amrouche, Chérif
64 Gatica, Gabriel N.
64 Girault, Vivette
61 Bernardi, Christine
60 Li, Jian
49 Shang, Yueqiang
47 Rebholz, Leo Gregory
45 Nicaise, Serge
44 Gunzburger, Max D.
44 Rivière, Beatrice M.
44 Ruiz-Baier, Ricardo
44 Wheeler, Mary Fanett
40 Rui, Hongxing
38 Ciarlet, Patrick jun.
37 Chen, Zhangxin
35 Ciarlet, Philippe Gaston
35 Ye, Xiu
34 Duan, Huoyuan
34 Oyarzúa, Ricardo
31 Hou, Yanren
31 Rodríguez, Rodolfo
30 He, Xiaoming
30 Mora, David
30 Sun, Shuyu
30 Zhang, Shangyou
28 Huang, Pengzhan
28 Luo, Zhendong
28 Olshanskii, Maxim A.
28 Zheng, Haibiao
27 Burman, Erik
27 Carstensen, Carsten
26 Sayah, Toni
25 Chacón Rebollo, Tomás
25 Hecht, Frédéric
25 Layton, William J.
24 Zou, Jun
23 Feng, Minfu
23 Feng, Xinlong
23 Guermond, Jean-Luc
23 Kaya, Songul
23 Linke, Alexander
23 Shi, Dongyang
23 Yakoubi, Driss
23 Yotov, Ivan
22 Boffi, Daniele
22 Brenner, Susanne Cecelia
22 Guillén González, Francisco M.
22 Hiptmair, Ralf
22 Mao, Shipeng
22 Sayas, Francisco-Javier
21 Barrenechea, Gabriel R.
21 Chorfi, Nejmeddine
21 Kumar, Kundan
21 Li, Kaitai
21 Quarteroni, Alfio M.
21 Schötzau, Dominik
20 Han, Weimin
20 Neff, Patrizio
20 Park, Eun-Jae
20 Ruas, Vitoriano
20 Süli, Endre E.
20 Wang, Junping
19 John, Volker
19 Salgado, Abner J.
19 Xu, Jinchao
19 Yang, Suh-Yuh
18 Boulmezaoud, Tahar Zamène
18 Caucao, Sergio
18 Djoko, Jules K.
18 Gastaldi, Lucia
18 Lee, Hyesuk Kwon
18 Meddahi, Salim
18 Mei, Liquan
18 Merdon, Christian
18 Pani, Amiya Kumar
18 Rojas-Medar, Marko Antonio
18 Zhang, Tong
17 An, Rong
17 Beirão da Veiga, Lourenço
17 Ben Belgacem, Faker
17 Chung, Tsz Shun Eric
17 Droniou, Jérôme
17 Ma, Yichen
17 Novo, Julia
17 Pasciak, Joseph E.
17 Sung, Li-Yeng
17 Vougalter, Vitali
16 Cockburn, Bernardo
16 Du, Guangzhi
16 Lee, Hyung-Chun
16 Lube, Gert
16 Shi, Feng
16 Tobiska, Lutz
16 Yan, Wenjing
15 Abdelwahed, Mohamed
15 Aramaki, Junichi
15 Bermúdez, Alfredo
15 Buffa, Annalisa
15 Di Pietro, Daniele Antonio
...and 4,974 more Authors
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Cited in 373 Serials

432 Computer Methods in Applied Mechanics and Engineering
302 Computers & Mathematics with Applications
293 Journal of Computational and Applied Mathematics
256 Journal of Scientific Computing
251 Numerical Methods for Partial Differential Equations
235 Numerische Mathematik
211 Mathematics of Computation
182 Applied Numerical Mathematics
178 Journal of Computational Physics
136 Mathematical Methods in the Applied Sciences
132 SIAM Journal on Numerical Analysis
129 Journal of Mathematical Analysis and Applications
128 Applied Mathematics and Computation
128 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
125 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
93 International Journal for Numerical Methods in Fluids
68 SIAM Journal on Scientific Computing
68 Advances in Computational Mathematics
68 Comptes Rendus. Mathématique. Académie des Sciences, Paris
62 International Journal for Numerical Methods in Engineering
60 Calcolo
56 RAIRO. Modélisation Mathématique et Analyse Numérique
53 Applied Mathematics Letters
47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
43 Journal of Differential Equations
43 Numerical Functional Analysis and Optimization
42 Numerical Algorithms
42 Computational Methods in Applied Mathematics
39 Journal of Mathematical Fluid Mechanics
38 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
38 Computational Geosciences
36 Applicable Analysis
35 Computers and Fluids
35 International Journal of Numerical Analysis and Modeling
32 Journal of Numerical Mathematics
30 Numerical Linear Algebra with Applications
28 SIAM Journal on Mathematical Analysis
27 Mathematics and Computers in Simulation
26 Archive for Rational Mechanics and Analysis
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
25 ZAMP. Zeitschrift für angewandte Mathematik und Physik
24 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
23 Applied Mathematics and Mechanics. (English Edition)
23 Japan Journal of Industrial and Applied Mathematics
23 International Journal of Computer Mathematics
23 Communications in Computational Physics
22 Nonlinear Analysis. Real World Applications
22 Advances in Applied Mathematics and Mechanics
21 Applications of Mathematics
21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Discrete and Continuous Dynamical Systems. Series S
20 SIAM Journal on Control and Optimization
19 BIT
19 Computational and Applied Mathematics
19 Discrete and Continuous Dynamical Systems. Series B
18 Multiscale Modeling & Simulation
17 Applied Mathematics and Optimization
17 Science China. Mathematics
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16 Engineering Analysis with Boundary Elements
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15 Journal of Elasticity
15 Communications in Nonlinear Science and Numerical Simulation
15 Boundary Value Problems
14 Communications in Numerical Methods in Engineering
14 International Journal of Computational Methods
13 Communications in Partial Differential Equations
13 S\(\vec{\text{e}}\)MA Journal
12 Computing
12 Mathematische Nachrichten
12 Chinese Annals of Mathematics. Series B
12 Acta Applicandae Mathematicae
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Mathematical Problems in Engineering
12 Nonlinear Analysis. Theory, Methods & Applications
11 Nonlinearity
11 Journal of Functional Analysis
10 International Journal of Engineering Science
10 Journal of Fluid Mechanics
10 Quarterly of Applied Mathematics
10 Calculus of Variations and Partial Differential Equations
10 Differential Equations
10 Journal of Applied Mathematics and Computing
9 Journal of Computational Mathematics
9 Acta Mathematicae Applicatae Sinica. English Series
9 Applied Mathematics. Series B (English Edition)
9 Discrete and Continuous Dynamical Systems
9 Journal of Evolution Equations
9 Archives of Computational Methods in Engineering
9 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
9 Advances in Numerical Analysis
8 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
8 Journal of the Korean Mathematical Society
8 Physica D
8 Computational Optimization and Applications
8 Computing and Visualization in Science
8 Analysis and Applications (Singapore)
...and 273 more Serials
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Cited in 51 Fields

3,857 Numerical analysis (65-XX)
3,375 Fluid mechanics (76-XX)
2,842 Partial differential equations (35-XX)
720 Mechanics of deformable solids (74-XX)
469 Optics, electromagnetic theory (78-XX)
354 Calculus of variations and optimal control; optimization (49-XX)
114 Classical thermodynamics, heat transfer (80-XX)
97 Operator theory (47-XX)
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94 Functional analysis (46-XX)
83 Statistical mechanics, structure of matter (82-XX)
77 Biology and other natural sciences (92-XX)
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60 Global analysis, analysis on manifolds (58-XX)
54 Probability theory and stochastic processes (60-XX)
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27 Operations research, mathematical programming (90-XX)
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