## Girault, Vivette

Compute Distance To:
 Author ID: 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
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### Co-Authors

 12 single-authored 15 Bernardi, Christine 15 Rivière, Beatrice M. 13 Scott, Larkin Ridgway 13 Wheeler, Mary Fanett 11 Amrouche, Chérif 9 Hecht, Frédéric 7 Giroire, Jean 7 Glowinski, Roland 5 Chacón Rebollo, Tomás 5 Murat, François 5 Raviart, Pierre-Arnaud 5 Sequeira, Adélia 4 Cioranescu, Doina 4 Gómez Mármol, Macarena 4 Sayah, Toni 3 Dauge, Monique 3 Nochetto, Ricardo Horacio 3 Rajagopal, Kumbakonam Ramamani 2 Abboud, Hyam 2 Amara, Mohamed 2 Bonito, Andrea 2 Cappanera, Loïc 2 Casado-Díaz, Juan 2 Chaabane, Nabil 2 Costabel, Martin 2 Dib, Séréna 2 Jelassi, Faten 2 Kumar, Kundan 2 Li, Jizhou 2 Lions, Jacques-Louis 2 Maday, Yvon 2 Maury, Bertrand 2 Pencheva, Gergina V. 2 Pironneau, Olivier 2 Sánchez Muñoz, Isabel 2 Süli, Endre E. 2 Vila, Jean-Paul 2 Wildey, Tim M. 2 Yotov, Ivan 1 Abboud, Toufic 1 Belgacem, F. Ben 1 Ben Belgacem, Faker 1 Çeşmelioğlu, Ayçıl 1 Ciarlet, Patrick jun. 1 Coppoletta, Giuseppe 1 Coulet, Julien 1 Faille, Isabelle 1 Ganis, Benjamin 1 Guignard, Diane 1 Guillén González, Francisco M. 1 Guy, Nicolas 1 Halpern, Laurence 1 Joshaghani, M. S. 1 Kanschat, Guido 1 Kawarada, Hideo 1 Lu, Xueying 1 Mear, Mark E. 1 Nataf, Frédéric 1 Pan, Tsorng-Whay 1 Puelz, Charles 1 Saadouni, M. 1 Salgado, Abner J. 1 Schonbek, Maria Elena 1 Schonbek, Tomas P. 1 Singh, Gurpreet 1 Sun, Shuyu 1 Tartar, Luc C. 1 Thompson, Travis B. 1 Vassilev, Danail
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### 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
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### Fields

 84 Fluid mechanics (76-XX) 75 Numerical analysis (65-XX) 72 Partial differential equations (35-XX) 9 Functional analysis (46-XX) 7 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

### 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.
1979
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
1979
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
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
2001
Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Zbl 0951.65108
Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette
1999
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140
Amrouche, Chérif; Girault, Vivette
1994
DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082
Girault, Vivette; Rivière, Béatrice
2009
A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. Zbl 1057.35029
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
2005
A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007
Bernardi, C.; Girault, V.
1998
Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032
Girault, Vivette; Lions, Jacques-Louis
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.
1997
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
Girault, V.; Glowinski, R.
1995
Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra. Zbl 0997.76043
Girault, V.; Lions, J.-L.
2001
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
1981
Weighted Sobolev spaces for Laplace’s equation in $$\mathbb{R}^ n$$. Zbl 0836.35038
Amrouche, C.; Girault, V.; Giroire, J.
1994
Weak and classical solutions of a family of second grade fluids. Zbl 0891.76005
Cioranescu, D.; Girault, V.
1997
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
2008
Mortar multiscale finite element methods for Stokes-Darcy flows. Zbl 1396.76051
Girault, Vivette; Vassilev, Danail; Yotov, Ivan
2014
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
2003
On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047
Amrouche, Chérif; Girault, Vivette
1991
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
2016
Finite-element error estimates for the MAC scheme. Zbl 0853.76037
Girault, V.; Lopez, H.
1996
Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions in $$R^ 3$$. Zbl 0666.76053
Girault, V.
1988
A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194
Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E.
2015
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
2005
A well-posed problem for the exterior Stokes equations in two and three dimensions. Zbl 0731.35078
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
2008
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
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
2009
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
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
1992
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
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.
2000
Theory of a finite difference method on irregular networks. Zbl 0296.65049
Girault, V.
1974
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
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.
2007
Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001
Cioranescu, D.; Girault, V.; Rajagopal, K. R.
2016
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
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.
2013
The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces. Zbl 0831.35125
Girault, V.
1994
Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153
Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T.
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
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.
1992
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
2014
Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038
Rivière, Béatrice; Girault, Vivette
2006
The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of $$\mathbb{R}^ 3$$. Zbl 0779.35088
Girault, V.
1992
An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036
Girault, V.; Raviart, P.-A.
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.
2008
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Zbl 1228.35176
Girault, V.; Guillén-González, F.
2011
A fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127
Girault, Vivette; Glowinski, Roland; Pan, T. W.
1999
A combined finite element and marker and cell method for solving Navier-Stokes equations. Zbl 0313.65105
Girault, V.
1976
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
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.
2001
Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084
Amrouche, Chérif; Girault, Vivette
1992
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
2016
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
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.
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.
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
2010
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
2010
Discontinuous Galerkin methods. Zbl 1149.65323
Girault, Vivette; Wheeler, Mary F.
2008
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145
Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice
2017
On a time-dependent grade-two fluid model in two dimensions. Zbl 1122.76009
2007
Stability of the finite element Stokes projection in $$W^{1,\infty}$$. Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
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
2020
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
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
2018
A domain decomposition and mixed method for a linear parabolic boundary value problem. Zbl 1062.65101
Girault, V.; Glowinski, R.; López, H.
2004
A local projection operator for quadrilateral finite elements. Zbl 0856.65128
Girault, V.
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
1992
Nonelliptic approximation of a class of partial differential equations with Neumann boundary condition. Zbl 0368.65055
Girault, V.
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
1991
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
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
2019
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
2001
Numerical methods for grade-two fluid models: finite-element discretizations and algorithms. Zbl 1318.76009
Girault, Vivette; Hecht, Frédéric
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.
2017
A finite element problem issued from fictious domain techniques. Zbl 1002.65127
Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O.
2001
A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 07413158
Girault, Vivette; Lu, Xueying; Wheeler, Mary F.
2020
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
2021
Two-grid finite element scheme for the fully discrete time-dependent Navier-Stokes problem. Zbl 1078.65083
Abboud, Hyam; Girault, Vivette; Sayah, Toni
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
1996
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
2002
A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis
2018
On Friedrichs constant and Horgan-Payne angle for LBB condition. Zbl 1360.35174
Dauge, Monique; Bernardi, Christine; Costabel, Martin; Girault, Vivette
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
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
2015
Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035
Belgacem, F. Ben; Girault, V.; Jelassi, F.
2018
Finite element approximation of a strain-limiting elastic model. Zbl 1465.74156
Bonito, Andrea; Girault, Vivette; Süli, Endre
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
2019
The divergence, curl and Stokes operators in exterior domains of $$\mathbb{R}^ 3$$. Zbl 0837.35115
Girault, Vivette
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
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
1992
Curl-conforming finite element methods for Navier-Stokes equations with nonstandard boundary conditions in $${\mathcal R}^ 3$$. Zbl 0702.76037
Girault, V.
1990
A mixed finite element method for the stationary Stokes equations. Zbl 0387.76029
Girault, V.
1978
Spectral methods for the Stokes problem in stream-function formulation. Zbl 0765.76059
Bernardi, Christine; Coppoletta, Giuseppe; Girault, Vivette; Maday, Yvon
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
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.
1997
Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036
Amara, M.; Bernardi, C.; Girault, V.; Hecht, F.
2005
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
2021
A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
2021
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
2020
A posteriori error estimates for Biot system using enriched Galerkin for flow. Zbl 07413158
Girault, Vivette; Lu, Xueying; Wheeler, Mary F.
2020
Finite element approximation of a strain-limiting elastic model. Zbl 1465.74156
Bonito, Andrea; Girault, Vivette; Süli, Endre
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
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
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
2018
A stable enriched Galerkin element for the Stokes problem. Zbl 1395.65072
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis
2018
Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035
Belgacem, F. Ben; Girault, V.; Jelassi, F.
2018
On Oldroyd models without explicit dissipation. Zbl 1448.76019
Girault, V.; Scott, L. Ridgway
2018
Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations. Zbl 1432.65145
Chaabane, Nabil; Girault, Vivette; Puelz, Charles; Riviere, Beatrice
2017
Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations. Zbl 1457.76161
Girault, Vivette; Li, Jizhou; Rivière, Beatrice M.
2017
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. Zbl 1391.76650
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F.
2016
Mechanics and mathematics of fluids of the differential type. Zbl 1365.76001
Cioranescu, D.; Girault, V.; Rajagopal, K. R.
2016
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
2016
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
2016
A lubrication fracture model in a poro-elastic medium. Zbl 1309.76194
Girault, V.; Wheeler, M. F.; Ganis, B.; Mear, M. E.
2015
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
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
2015
Mortar multiscale finite element methods for Stokes-Darcy flows. Zbl 1396.76051
Girault, Vivette; Vassilev, Danail; Yotov, Ivan
2014
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
2014
On Friedrichs constant and Horgan-Payne angle for LBB condition. Zbl 1360.35174
Dauge, Monique; Bernardi, Christine; Costabel, Martin; Girault, Vivette
2014
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
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.
2013
Domain decomposition for poroelasticity and elasticity with DG jumps and mortars. Zbl 1216.35153
Girault, V.; Pencheva, G.; Wheeler, M. F.; Wildey, T.
2011
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Zbl 1228.35176
Girault, V.; Guillén-González, F.
2011
Numerical methods for grade-two fluid models: finite-element discretizations and algorithms. Zbl 1318.76009
Girault, Vivette; Hecht, Frédéric
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
2010
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
2010
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
2010
DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. Zbl 1406.76082
Girault, Vivette; Rivière, Béatrice
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
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.
2009
Numerical discretization of a Darcy-Forchheimer model. Zbl 1143.76035
Girault, V.; Wheeler, M. F.
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
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.
2008
Discontinuous Galerkin methods. Zbl 1149.65323
Girault, Vivette; Wheeler, Mary F.
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.
2007
On a time-dependent grade-two fluid model in two dimensions. Zbl 1122.76009
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
2007
Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. Zbl 1121.76038
Rivière, Béatrice; Girault, Vivette
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.
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.
2005
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
2005
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Zbl 1085.76037
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F.
2005
Two-grid finite element scheme for the fully discrete time-dependent Navier-Stokes problem. Zbl 1078.65083
Abboud, Hyam; Girault, Vivette; Sayah, Toni
2005
Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036
Amara, M.; Bernardi, C.; Girault, V.; Hecht, F.
2005
Stability of the finite element Stokes projection in $$W^{1,\infty}$$. Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
2004
A domain decomposition and mixed method for a linear parabolic boundary value problem. Zbl 1062.65101
Girault, V.; Glowinski, R.; López, H.
2004
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
2003
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
2003
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
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
2002
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
2002
A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045
Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette
2001
Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032
Girault, Vivette; Lions, Jacques-Louis
2001
Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra. Zbl 0997.76043
Girault, V.; Lions, J.-L.
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.
2001
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
2001
A finite element problem issued from fictious domain techniques. Zbl 1002.65127
Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O.
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.
2000
Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Zbl 0951.65108
Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette
1999
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
1999
A fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127
Girault, Vivette; Glowinski, Roland; Pan, T. W.
1999
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
1998
A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007
Bernardi, C.; Girault, V.
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
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.
1997
Weak and classical solutions of a family of second grade fluids. Zbl 0891.76005
Cioranescu, D.; Girault, V.
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.
1997
Finite-element error estimates for the MAC scheme. Zbl 0853.76037
Girault, V.; Lopez, H.
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
1996
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
Girault, V.; Glowinski, R.
1995
A local projection operator for quadrilateral finite elements. Zbl 0856.65128
Girault, V.
1995
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140
Amrouche, Chérif; Girault, Vivette
1994
Weighted Sobolev spaces for Laplace’s equation in $$\mathbb{R}^ n$$. Zbl 0836.35038
Amrouche, C.; Girault, V.; Giroire, J.
1994
The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces. Zbl 0831.35125
Girault, V.
1994
The divergence, curl and Stokes operators in exterior domains of $$\mathbb{R}^ 3$$. Zbl 0837.35115
Girault, Vivette
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
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.
1992
The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of $$\mathbb{R}^ 3$$. Zbl 0779.35088
Girault, V.
1992
Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084
Amrouche, Chérif; Girault, Vivette
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
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
1992
On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047
Amrouche, Chérif; Girault, Vivette
1991
A well-posed problem for the exterior Stokes equations in two and three dimensions. Zbl 0731.35078
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
1991
Curl-conforming finite element methods for Navier-Stokes equations with nonstandard boundary conditions in $${\mathcal R}^ 3$$. Zbl 0702.76037
Girault, V.
1990
Spectral methods for the Stokes problem in stream-function formulation. Zbl 0765.76059
Bernardi, Christine; Coppoletta, Giuseppe; Girault, Vivette; Maday, Yvon
1990
Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions in $$R^ 3$$. Zbl 0666.76053
Girault, V.
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.
1982
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
1981
Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081
Girault, V.; Raviart, P.-A.
1979
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
1979
A mixed finite element method for the stationary Stokes equations. Zbl 0387.76029
Girault, V.
1978
A combined finite element and marker and cell method for solving Navier-Stokes equations. Zbl 0313.65105
Girault, V.
1976
Nonelliptic approximation of a class of partial differential equations with Neumann boundary condition. Zbl 0368.65055
Girault, V.
1976
...and 1 more Documents
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### 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) 75 Functional analysis (46-XX) 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) 26 Approximations and expansions (41-XX) 26 Integral equations (45-XX) 24 Potential theory (31-XX) 21 Real functions (26-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 21 Operations research, mathematical programming (90-XX) 18 Ordinary differential equations (34-XX) 18 Computer science (68-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 Differential geometry (53-XX) 11 Information and communication theory, circuits (94-XX) 10 Mechanics of particles and systems (70-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 7 Statistics (62-XX) 6 Relativity and gravitational theory (83-XX) 4 Quantum theory (81-XX) 4 Astronomy and astrophysics (85-XX) 3 Category theory; homological algebra (18-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)

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