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Bernardi, Christine

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Author ID: bernardi.christine Recent zbMATH articles by "Bernardi, Christine"
Published as: Bernardi, Christine; Bernardi, C.
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Co-Authors

6 single-authored
40 Maday, Yvon
22 Hecht, Frédéric
15 Girault, Vivette
14 Ben Belgacem, Faker
13 Chacón Rebollo, Tomás
10 Blouza, Adel
10 Dauge, Monique
8 Azaïez, Mejdi
8 Belhachmi, Zakaria
7 Chorfi, Nejmeddine
7 Karageorghis, Andreas
7 Métivet, Brigitte
6 Amara, Mohamed
6 Lewandowski, Roger
6 Murat, François
6 Pironneau, Olivier
6 Sayah, Toni
6 Yakoubi, Driss
5 Mghazli, Zoubida
5 Raugel, Geneviève
4 Canuto, Claudio
4 Chacón Vera, Eliseo
4 Verfürth, Rüdiger
3 Costabel, Martin
3 Dakroub, Jad
3 Debit, Naïma
3 Deparis, Simone
3 El Alaoui, Linda
3 Maarouf, Sarra
3 Mansour, Gihane
3 Orfi, Ajmia Younes
3 Patera, Anthony T.
3 Rapetti, Francesca
3 Satouri, Jamil
3 Vohralík, Martin
2 Achdou, Yves
2 Agroum, Rahma
2 Amoura, Karima
2 Aouadi, Saloua Mani
2 Bergam, Amal
2 Coppoletta, Giuseppe
2 Gómez Mármol, Macarena
2 Pelissier, Marie-Claude
2 Pernaud-Thomas, Bernadette
1 Abdellatif, Nahla
1 Abdellatif, Nehla
1 Ahusborde, Etienne
1 Amorim, Paulo
1 Amrouche, Chérif
1 Antidze, J.
1 Avalishvili, Gia
1 Avalishvili, Mariam
1 Bègue, Catherine
1 Benyounes, Michèle
1 Borchorishvili, R.
1 Bristeau, Marie-Odile
1 Chacon, Tomas
1 Copetti, Maria Inês M.
1 Coquel, Frédéric
1 Coronil, D. Franco
1 Dib, Séréna
1 El Fekih, Henda
1 El Rhabi, Mohammed
1 Fiétier, Nicolas
1 Godlewski, Edwige
1 Grundmann, Miloslav
1 Halpern, Laurence
1 Jelassi, Faten
1 Karniadakis, George Em
1 Kawarada, Hideo
1 Kharrat, Nizar
1 Laval, Frédéric
1 Le Dret, Hervé
1 LeFloch, Philippe Gerard
1 Mint Brahim, Maimouna
1 Moussaoui, Mohand-Arezki
1 Nouri, Fatma Zohra
1
1 Owens, Robert G.
1 Rafei, Farah
1 Rajagopal, Kumbakonam Ramamani
1 Rappaz, Jacques
1 Restelli, Marco
1 Saadi, Samira
1 Sacchi Landriani, Giovanni
1 Salmon, Stéphanie
1 Süli, Endre E.
1 Taallah, Frekh
1 Touihri, Moncef
1 Vallet, Marie-Gabrielle
1 Younes, M. Ben
all top 5

Serials

15 SIAM Journal on Numerical Analysis
12 IMA Journal of Numerical Analysis
11 Numerische Mathematik
10 Comptes Rendus de l’Académie des Sciences. Série I
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Computer Methods in Applied Mechanics and Engineering
7 Mathematics of Computation
5 Journal of Scientific Computing
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 S\(\vec{\text{e}}\)MA Journal
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Mathematical Methods in the Applied Sciences
3 Calcolo
3 Applied Numerical Mathematics
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Applicable Analysis
2 International Journal for Numerical Methods in Fluids
2 Applied Mathematics and Computation
2 Chinese Annals of Mathematics. Series B
2 Journal of Elasticity
2 East-West Journal of Numerical Mathematics
2 Revue Européenne des Éléments Finis
2 Journal of Mathematical Fluid Mechanics
2 Mathématiques & Applications (Berlin)
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 Computers and Structures
1 Journal of Computational and Applied Mathematics
1 RAIRO. Analyse Numérique
1 Finite Elements in Analysis and Design
1 Numerical Methods for Partial Differential Equations
1 Asymptotic Analysis
1 Numerical Algorithms
1 Communications in Partial Differential Equations
1 La Recherche Aérospatiale
1 SIAM Journal on Mathematical Analysis
1 Applied Mathematics and Informatics
1 Bulletin of TICMI
1 GAMM-Mitteilungen
1 Mathematical Modelling of Natural Phenomena
1 Advances in Pure and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

147 Publications have been cited 2,600 times in 1,928 Documents Cited by Year
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
354
1998
A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094
Bernardi, C.; Maday, Y.; Patera, A. T.
271
1994
Spectral approximation for elliptic boundary value problems. (Approximations spectrales de problèmes aux limites elliptiques.) Zbl 0773.47032
Bernardi, Christine; Maday, Yvon
132
1992
Domain decomposition by the mortar element method. Zbl 0799.65124
Bernardi, C.; Maday, Y.; Patera, A. T.
100
1993
Analysis of some finite elements for the Stokes problem. Zbl 0563.65075
Bernardi, Christine; Raugel, Geneviève
83
1985
Adaptive finite element methods for elliptic equations with non-smooth coefficients. Zbl 0962.65096
Bernardi, C.; Verfürth, R.
80
2000
A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007
Bernardi, C.; Girault, V.
79
1998
Optimal finite-element interpolation on curved domains. Zbl 0678.65003
Bernardi, Christine
79
1989
Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem. Zbl 0666.76055
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
56
1988
A posteriori analysis of the finite element discretization of some parabolic equations. Zbl 1072.65124
Bergam, A.; Bernardi, C.; Mghazli, Z.
53
2005
A priori and a posteriori analysis of finite volume discretizations of Darcy’s equations. Zbl 1050.76035
Achdou, Y.; Bernardi, C.; Coquel, F.
47
2003
Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119
Bernardi, Christine; Maday, Yvon; Rapetti, Francesca
46
2004
Polynomial interpolation results in Sobolev spaces. Zbl 0767.41001
Bernardi, Christine; Maday, Yvon
46
1992
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001
Bernardi, Christine; Dauge, Monique; Maday, Yvon
43
1999
Uniform inf-sup conditions for the spectral discretization of the Stokes problem. Zbl 0944.76058
Bernardi, C.; Maday, Y.
40
1999
Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem. Zbl 1107.65103
Belhachmi, Zakaria; Bernardi, Christine; Deparis, Simone
34
2006
Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida
34
2008
Basics and some applications of the mortar element method. Zbl 1177.65178
Bernardi, Christine; Maday, Yvon; Rapetti, Francesca
34
2005
Coupling the Navier-Stokes equation with the heat equation: The model and its approximation by finite elements. (Couplage des équations de Navier-Stokes et de la chaleur: Le modèle et son approximation par éléments finis.) Zbl 0839.76016
Bernardi, Christine; Métivet, Brigitte; Pernaud-Thomas, Bernadette
33
1995
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
30
2005
Properties of some weighted Sobolev spaces and application to spectral approximations. Zbl 0675.65114
Bernardi, Christine; Maday, Yvon
29
1989
Coupling finite element and spectral methods: First results. Zbl 0685.65098
Bernardi, Christine; Debit, Naïma; Maday, Yvon
29
1990
A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042
Bernardi, Christine; Verfürth, Rüdiger
28
2004
Spectral discretization of the vorticity, velocity, and pressure formulation of the Stokes problem. Zbl 1117.65159
Bernardi, Christine; Chorfi, Nejmeddine
25
2006
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
Spectral, spectral element and mortar element methods. Zbl 0991.65124
Bernardi, Christine; Maday, Yvon
22
2001
A conforming finite element method for the time-dependent Navier-Stokes equations. Zbl 0578.65122
Bernardi, Christine; Raugel, Geneviève
22
1985
On the shallow water equations at low Reynolds number. Zbl 0723.76033
Bernardi, Christine; Pironneau, Olivier
21
1991
Spectral element discretizations of the Poisson equation with mixed boundary conditions. Zbl 1004.65119
Bernardi, C.; Maday, Y.
20
2001
Mixed finite element method for the Stokes and Navier-Stokes equations in a nonconvex polxgon. (Méthodes d’éléments finis mixtes pour les équations de Stokes et de Navier-Stokes dans un polygone non convexe.) Zbl 0475.76035
Bernardi, C.; Raugel, G.
20
1981
Error indicators for the mortar finite element discretization of the Laplace equation. Zbl 1012.65108
Bernardi, Christine; Hecht, Frédéric
19
2002
A collocation method over staggered grids for the Stokes problem. Zbl 0665.76037
Bernardi, Christine; Maday, Yvon
19
1988
Polynomial approximation of some singular functions. Zbl 0701.41009
Bernardi, Christine; Maday, Yvon
18
1991
Some spectral approximations of two-dimensional fourth-order problems. Zbl 0754.65088
Bernardi, Christine; Coppoletta, Giuseppe; Maday, Yvon
18
1992
Time and space adaptivity for the second-order wave equation. Zbl 1070.65083
Bernardi, Christine; Süli, Endre
17
2005
Spectral element discretization of the Maxwell equations. Zbl 0932.65110
Ben Belgacem, F.; Bernardi, C.
15
1999
A finite element discretization of the three-dimensional Navier-Stokes equations with mixed boundary conditions. Zbl 1422.76124
Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger
14
2009
A new finite-element discretization of the Stokes problem coupled with the Darcy equations. Zbl 1423.76213
Bernardi, Christine; Hecht, Frédéric; Nouri, Fatma Zohra
13
2010
Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation. Zbl 0956.76040
Amara, Mohamed; Bernardi, Christine
13
1999
Spectral methods applied to porous media equations. Zbl 0838.76055
Azaïez, M.; Bernardi, C.; Grundmann, M.
12
1994
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
Spectral approximation of the periodic nonperiodic Navier-Stokes equations. Zbl 0583.65085
Bernardi, Christine; Maday, Yvon; Métivet, Brigitte
12
1987
An error indicator for mortar element solutions to the Stokes problem. Zbl 0998.65113
Bernardi, Christine; Fiétier, Nicolas; Owens, Robert G.
12
2001
Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Zbl 0955.65088
Ben Belgacem, F.; Bernardi, C.; Chorfi, N.; Maday, Y.
12
2000
A model for two coupled turbulent fluids. I: Analysis of the system. Zbl 1034.35106
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
11
2002
A model for two coupled turbulent fluids. II: Numerical analysis of a spectral discretization. Zbl 1129.76327
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
11
2003
Mortar finite element discretization for the flow in a nonhomogeneous porous medium. Zbl 1173.76331
Bernardi, Christine; Hecht, Frédéric; Mghazli, Zoubida
11
2007
A density result for Maxwell’s equations. (Un résultat de densité pour les équations de Maxwell.) Zbl 0880.35115
Ben Belgacem, Faker; Bernardi, Christine; Costabel, Martin; Dauge, Monique
10
1997
A model for two coupled turbulent fluids. III: Numerical approximation by finite elements. Zbl 1129.76326
Bernardi, C.; Chacón Rebollo, T.; Gómez Mármol, M.; Lewandowski, R.; Murat, F.
10
2004
Resolution of fourth-order problems by the mortar element method. Zbl 0824.65111
Belhachmi, Zakaria; Bernardi, Christine
10
1994
Calcul de la pression dans la résolution spectrale du problème de Stokes. (Computation of the pressure in the spectral approximation of the Stokes problem). Zbl 0642.76037
Bernardi, C.; Maday, Y.; Métivet, B.
10
1987
Spectral discretization of Darcy’s equations coupled with the heat equation. Zbl 1433.76121
Bernardi, Christine; Maarouf, Sarra; Yakoubi, Driss
9
2016
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
9
2016
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
9
2003
Spectral discretization of Darcy’s equations with pressure dependent porosity. Zbl 1342.76090
Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine; Chorfi, Nejmeddine
9
2010
Relèvement polynômial de traces et applications. (Polynomial lifting of traces and applications). Zbl 0707.65077
Bernardi, Christine; Maday, Yvon
9
1990
Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110
Belhachmi, Z.; Bernardi, C.; Karageorghis, A.
9
2001
Trace liftings which preserve polynomials. (Relèvements de traces préservant les polynômes.) Zbl 0755.65103
Bernardi, Christine; Dauge, Monique; Maday, Yvon
9
1992
Spectral methods for the approximation of fourth-order problems: Application to the Stokes and Navier-Stokes equations. Zbl 0668.76038
Bernardi, Christine; Maday, Yvon
9
1988
Noncorming matching conditions for coupling spectral and finite element methods. Zbl 0684.65099
Bernardi, Christine; Maday, Yvon; Sacchi Landriani, Giovanni
9
1989
Non-conforming spectral element-finite element approximations for partial differential equations. Zbl 0697.65080
Bègue, C.; Bernardi, C.; Debit, N.; Maday, Y.; Karniadakis, G. E.; Mavriplis, C.; Patera, A. T.
8
1989
Sensitivity of Darcy’s law to discontinuities. Zbl 1040.35067
Bernardi, C.; Pironneau, O.
8
2003
Spectral discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes equations. Zbl 1138.76052
Azaïez, Mejdi; Bernardi, Christine; Chorfi, Nejmeddine
8
2006
A posteriori error analysis for two non-overlapping domain decomposition techniques. Zbl 1166.65053
Bernardi, C.; Chacón Rebollo, T.; Chacón Vera, E.; Coronil, D. Franco
8
2009
Adaptive finite volume or finite element discretization of Darcy’s equations with variable permeability. (Un schéma de volumes ou éléments finis adaptatif pour les équations de Darcy à perméabilité variable.) Zbl 0996.65123
Achdou, Yves; Bernardi, Christine
8
2001
Error indicators for the heat equation. (Indicateurs d’erreur pour l’équation de la chaleur.) Zbl 0959.65106
Bernardi, Christine; Métivet, Brigitte
8
2000
Un problème variationnel abstrait. Application à une méthode de collocation pour les équations de Stokes. (An abstract variational problem. Application to a collocation method for the Stokes equations). Zbl 0612.49004
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
8
1986
A posteriori analysis of iterative algorithms for a nonlinear problem. Zbl 1331.65152
Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Sayah, Toni
8
2015
On the unilateral contact between membranes. II: A posteriori analysis and numerical experiments. Zbl 1451.74176
Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin
7
2012
Finite element mesh refinement by the mortar method. (Raffinement de maillage en éléments finis par la méthode des joints.) Zbl 0830.65106
Bernardi, Christine; Maday, Yvon
7
1995
Error indicators in the \(h-N\) version of spectral elements. (Indicateurs d’erreur en \(h-N\) version des éléments spectraux.) Zbl 0843.65077
Bernardi, Christine
7
1996
A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain. Zbl 1134.76376
Belhachmi, Z.; Bernardi, C.; Deparis, S.; Hecht, F.
7
2006
A posteriori analysis of a space and time discretization of a nonlinear model for the flow in partially saturated porous media. Zbl 1353.76050
Bernardi, Christine; El Alaoui, Linda; Mghazli, Zoubida
7
2014
A posteriori error analysis of the time-dependent Stokes equations with mixed boundary conditions. Zbl 1310.65106
Bernardi, Christine; Sayah, Toni
6
2015
On the unilateral contact between membranes. I: Finite element discretization and mixed reformulation. Zbl 1162.74031
Ben Belgacem, F.; Bernardi, C.; Blouza, A.; Vohralík, M.
6
2009
A finite element discretization of the contact between two membranes. Zbl 1157.74036
Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin
6
2009
Error indicators for the mortar finite element discretization of a parabolic problem. Zbl 1035.65102
Bergam, A.; Bernardi, C.; Hecht, F.; Mghazli, Z.
6
2003
Spectral approximation of a Schrödinger type equation. Zbl 0791.35026
Bernardi, Christine; Pelissier, Marie-Claude
6
1994
Interpolation of nullspaces for polynomial approximation of divergence- free functions in a cube. Zbl 0830.46015
Bernardi, Christine; Dauge, Monique; Maday, Yvon
6
1995
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
Mortar spectral element discretization of the Stokes problem in axisymmetric domains. Zbl 1299.76049
Aouadi, Saloua Mani; Bernardi, Christine; Satouri, Jamil
5
2014
Approximation results for spectral methods with domain decomposition. Zbl 0686.65081
Bernardi, Christine; Maday, Yvon
5
1989
A posteriori analysis of a finite element discretization of a Naghdi shell model. Zbl 1329.74268
Bernardi, Christine; Hecht, Frédéric; Le Dret, Hervé; Blouza, Adel
5
2013
Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations. Zbl 1169.76031
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Lewandowski, Roger
5
2009
Spectral approximations of the Stokes equations with boundary conditions on the pressure. Zbl 0727.76040
Bernardi, Christine; Canuto, Claudio; Maday, Yvon
5
1991
Compatibility of traces on the edges and corners of a polyhedron. (Compatibilité de traces aux arêtes et coins d’un polyèdre.) Zbl 0976.52008
Bernardi, Christine; Dauge, Monique; Maday, Yvon
5
2000
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas
5
2007
Dirichlet boundary control for a parabolic equation with a final observation. I: A space-time mixed formulation and penalization. Zbl 1217.49005
Ben Belgacem, Faker; Bernardi, Christine; Fekih, Henda El
5
2011
Spectral discretization of the Navier-Stokes equations coupled with the heat equation. Zbl 1325.35134
Agroum, Rahma; Aouadi, Saloua Mani; Bernardi, Christine; Satouri, Jamil
5
2015
Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure. Zbl 1325.35136
Bernardi, Christine; Chacón Rebollo, Tomás; Yakoubi, Driss
5
2015
A posteriori error analysis of the time dependent Navier-Stokes equations with mixed boundary conditions. Zbl 1327.65183
Bernardi, Christine; Sayah, Toni
5
2015
A posteriori analysis of iterative algorithms for Navier-Stokes problem. Zbl 1457.65179
Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Sayah, Toni
5
2016
A posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations. Zbl 1419.65053
Bernardi, Christine; Orfi, Ajmia Younes
4
2018
A FETI method with a mesh independent condition number for the iteration matrix. Zbl 1186.65147
Bernardi, C.; Chacón Rebollo, T.; Chacón Vera, E.
4
2008
Handling corner singularities by the mortar spectral element method. Zbl 0738.65082
Amara, M.; Bernardi, C.; Moussaoui, M. A.
4
1992
Approximation numérique de certaines équations paraboliques non linéaires. Zbl 0548.65071
Bernardi, C.; Raugel, G.
4
1984
Finite element approximation of viscous flows with varying density. Zbl 0755.76052
Bernardi, Christine; Laval, Frédéric; Métivet, Brigitte; Pernaud- Thomas, Bernadette
4
1992
Mesh adaptivity in finite elements using the mortar method. Zbl 0954.65081
Bernardi, Christine; Maday, Yvon
4
2000
Numerical approximation of a periodic linear parabolic problem. Zbl 0493.65041
Bernardi, Christine
4
1982
The lifting of polynomial traces revisited. Zbl 1227.46026
Bernardi, Christine; Dauge, Monique; Maday, Yvon
4
2010
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 posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations. Zbl 1419.65053
Bernardi, Christine; Orfi, Ajmia Younes
4
2018
Convergence analysis of two numerical schemes applied to a nonlinear elliptic problem. Zbl 1398.65288
Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Rafei, Farah; Sayah, Toni
1
2017
Spectral discretization of Darcy’s equations coupled with the heat equation. Zbl 1433.76121
Bernardi, Christine; Maarouf, Sarra; Yakoubi, Driss
9
2016
Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230
Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette
9
2016
A posteriori analysis of iterative algorithms for Navier-Stokes problem. Zbl 1457.65179
Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Sayah, Toni
5
2016
A priori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations. Zbl 1383.76331
Bernardi, Christine; Orfi, Ajmia Younes
2
2016
Mortar finite element discretization of the time dependent nonlinear Darcy’s equations. Zbl 1457.65087
Amoura, Karima; Bernardi, Christine; Saadi, Samira
2
2016
Spectral discretization of an unsteady flow through a porous solid. Zbl 06793311
Bernardi, Christine; Maarouf, Sarra; Yakoubi, Driss
1
2016
A posteriori analysis of iterative algorithms for a nonlinear problem. Zbl 1331.65152
Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Sayah, Toni
8
2015
A posteriori error analysis of the time-dependent Stokes equations with mixed boundary conditions. Zbl 1310.65106
Bernardi, Christine; Sayah, Toni
6
2015
Spectral discretization of the Navier-Stokes equations coupled with the heat equation. Zbl 1325.35134
Agroum, Rahma; Aouadi, Saloua Mani; Bernardi, Christine; Satouri, Jamil
5
2015
Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure. Zbl 1325.35136
Bernardi, Christine; Chacón Rebollo, Tomás; Yakoubi, Driss
5
2015
A posteriori error analysis of the time dependent Navier-Stokes equations with mixed boundary conditions. Zbl 1327.65183
Bernardi, Christine; Sayah, Toni
5
2015
Finite element methods for the temperature in composite media with contact resistance. Zbl 1323.80004
Ben Belgacem, Faker; Bernardi, Christine; Jelassi, Faten; Mint Brahim, Maimouna
4
2015
Spectral discretization of the time-dependent Navier-Stokes problem coupled with the heat equation. Zbl 1410.76315
Agroum, Rahma; Bernardi, Christine; Satouri, Jamil
3
2015
Finite element discretization of the time dependent axisymmetric Darcy problem. Zbl 1330.76063
Bernardi, Christine; Orfi, Ajmia Younes
3
2015
A posteriori analysis of a space and time discretization of a nonlinear model for the flow in partially saturated porous media. Zbl 1353.76050
Bernardi, Christine; El Alaoui, Linda; Mghazli, Zoubida
7
2014
Mortar spectral element discretization of the Stokes problem in axisymmetric domains. Zbl 1299.76049
Aouadi, Saloua Mani; Bernardi, Christine; Satouri, Jamil
5
2014
Finite element discretization of a nonlinear thermoelastic beam model with penalized unilateral contact. Zbl 1420.74010
Bernardi, Christine; Copetti, Maria Inês M.
2
2014
On Friedrichs constant and Horgan-Payne angle for LBB condition. Zbl 1360.35174
Dauge, Monique; Bernardi, Christine; Costabel, Martin; Girault, Vivette
2
2014
Stabilized finite elements for a reaction-dispersion saddle-point problem with nonconstant coefficients. Zbl 1311.65142
Ben Belgacem, Faker; Bernardi, Christine; Hecht, Frédéric; Salmon, Stéphanie
1
2014
A posteriori analysis of a finite element discretization of a Naghdi shell model. Zbl 1329.74268
Bernardi, Christine; Hecht, Frédéric; Le Dret, Hervé; Blouza, Adel
5
2013
Automatic simplification of darcy’s equations with pressure dependent permeability. Zbl 1311.76128
Ahusborde, Etienne; Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine
3
2013
On the unilateral contact between membranes. II: A posteriori analysis and numerical experiments. Zbl 1451.74176
Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin
7
2012
A posteriori analysis of a positive streamwise invariant discretization of a convection-diffusion equation. Zbl 1256.65096
Bernardi, Christine; Chacón Rebollo, Tomás; Restelli, Marco
1
2012
An incompressible fluid in a weakly deformable shell. I: Analysis of the model. Zbl 1290.74013
Bernardi, Christine; Blouza, Adel; Hecht, Frédéric
1
2012
Dirichlet boundary control for a parabolic equation with a final observation. I: A space-time mixed formulation and penalization. Zbl 1217.49005
Ben Belgacem, Faker; Bernardi, Christine; Fekih, Henda El
5
2011
On the obstacle problem for a Naghdi shell. Zbl 1273.74350
Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Taallah, Frekh
3
2011
A posteriori error analysis of the method of characteristics. Zbl 1228.65181
Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger
2
2011
A penalty algorithm for the spectral element discretization of the Stokes problem. Zbl 1267.76023
Bernardi, Christine; Blouza, Adel; Chorfi, Nejmeddine; Kharrat, Nizar
1
2011
A new finite-element discretization of the Stokes problem coupled with the Darcy equations. Zbl 1423.76213
Bernardi, Christine; Hecht, Frédéric; Nouri, Fatma Zohra
13
2010
Spectral discretization of Darcy’s equations with pressure dependent porosity. Zbl 1342.76090
Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine; Chorfi, Nejmeddine
9
2010
The lifting of polynomial traces revisited. Zbl 1227.46026
Bernardi, Christine; Dauge, Monique; Maday, Yvon
4
2010
A finite element discretization of the three-dimensional Navier-Stokes equations with mixed boundary conditions. Zbl 1422.76124
Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger
14
2009
A posteriori error analysis for two non-overlapping domain decomposition techniques. Zbl 1166.65053
Bernardi, C.; Chacón Rebollo, T.; Chacón Vera, E.; Coronil, D. Franco
8
2009
On the unilateral contact between membranes. I: Finite element discretization and mixed reformulation. Zbl 1162.74031
Ben Belgacem, F.; Bernardi, C.; Blouza, A.; Vohralík, M.
6
2009
A finite element discretization of the contact between two membranes. Zbl 1157.74036
Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin
6
2009
Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations. Zbl 1169.76031
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Lewandowski, Roger
5
2009
Computing Gowdy spacetimes via spectral evolution in future and past directions. Zbl 1158.83301
Amorim, Paulo; Bernardi, Christine; LeFloch, Philippe G.
3
2009
Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida
34
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
A FETI method with a mesh independent condition number for the iteration matrix. Zbl 1186.65147
Bernardi, C.; Chacón Rebollo, T.; Chacón Vera, E.
4
2008
The mortar spectral element method in domains of operators. II: The curl operator and the vector potential problem. Zbl 1139.65073
Azaïez, M.; Ben Belgacem, F.; Bernardi, C.; El Rhabi, M.
1
2008
Mortar finite element discretization for the flow in a nonhomogeneous porous medium. Zbl 1173.76331
Bernardi, Christine; Hecht, Frédéric; Mghazli, Zoubida
11
2007
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas
5
2007
Some further approximation properties of Nédélec finite elements, aapplication to a posteriori analysis. (Quelques propriétés d’approximation des éléments finis de nédélec, application à l’analyse a posteriori.) Zbl 1114.65139
Bernardi, Christine; Hecht, Frédéric
4
2007
Spectral discretization of a Naghdi shell model. Zbl 1154.74048
Bernardi, Christine; Blouza, Adel
2
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
Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem. Zbl 1107.65103
Belhachmi, Zakaria; Bernardi, Christine; Deparis, Simone
34
2006
Spectral discretization of the vorticity, velocity, and pressure formulation of the Stokes problem. Zbl 1117.65159
Bernardi, Christine; Chorfi, Nejmeddine
25
2006
Spectral discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes equations. Zbl 1138.76052
Azaïez, Mejdi; Bernardi, Christine; Chorfi, Nejmeddine
8
2006
A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain. Zbl 1134.76376
Belhachmi, Z.; Bernardi, C.; Deparis, S.; Hecht, F.
7
2006
An efficient discretization of the Navier-Stokes equations in an axisymmetric domain. I: The discrete problem and its numerical analysis. Zbl 1101.76031
Belhachmi, Z.; Bernardi, C.; Deparis, S.; Hecht, F.
3
2006
Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem. Zbl 1109.76044
Amoura, Karima; Bernardi, Christine; Chorfi, Nejmeddine
3
2006
The mortar spectral element method in domains of operators. I: The divergence operator and Darcy’s equations. Zbl 1094.65116
Azaïez, M.; Ben Belgacem, F.; Bernardi, C.
1
2006
A posteriori analysis of the finite element discretization of some parabolic equations. Zbl 1072.65124
Bergam, A.; Bernardi, C.; Mghazli, Z.
53
2005
Basics and some applications of the mortar element method. Zbl 1177.65178
Bernardi, Christine; Maday, Yvon; Rapetti, Francesca
34
2005
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
30
2005
Time and space adaptivity for the second-order wave equation. Zbl 1070.65083
Bernardi, Christine; Süli, Endre
17
2005
Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036
Amara, M.; Bernardi, C.; Girault, V.; Hecht, F.
1
2005
Numerical analysis of a model for an axisymmetric guide for electromagnetic waves. I: The continuous problem and its Fourier expansion. Zbl 1125.35099
Ben Belgacem, Faker; Bernardi, Christine; Rapetti, Francesca
1
2005
Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119
Bernardi, Christine; Maday, Yvon; Rapetti, Francesca
46
2004
A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042
Bernardi, Christine; Verfürth, Rüdiger
28
2004
A model for two coupled turbulent fluids. III: Numerical approximation by finite elements. Zbl 1129.76326
Bernardi, C.; Chacón Rebollo, T.; Gómez Mármol, M.; Lewandowski, R.; Murat, F.
10
2004
A new formulation of the Stokes problem in a cylinder, and its spectral discretization. Zbl 1079.76055
Abdellatif, Nehla; Bernardi, Christine
3
2004
Spectral element discretization of the circular driven cavity. IV: the Navier-Stokes equations. Zbl 1084.65121
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas
3
2004
A priori and a posteriori analysis of finite volume discretizations of Darcy’s equations. Zbl 1050.76035
Achdou, Y.; Bernardi, C.; Coquel, F.
47
2003
A model for two coupled turbulent fluids. II: Numerical analysis of a spectral discretization. Zbl 1129.76327
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
11
2003
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
9
2003
Sensitivity of Darcy’s law to discontinuities. Zbl 1040.35067
Bernardi, C.; Pironneau, O.
8
2003
Error indicators for the mortar finite element discretization of a parabolic problem. Zbl 1035.65102
Bergam, A.; Bernardi, C.; Hecht, F.; Mghazli, Z.
6
2003
Spectral element discretization of the circular driven cavity. Part III: The Stokes equations in primitive variables. Zbl 1031.65135
Belhachmi, Z.; Bernardi, Christine; Karageorghis, Andreas
1
2003
Error indicators for the mortar finite element discretization of the Laplace equation. Zbl 1012.65108
Bernardi, Christine; Hecht, Frédéric
19
2002
A model for two coupled turbulent fluids. I: Analysis of the system. Zbl 1034.35106
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
11
2002
Derivative with respect to discontinuities in the porosity. Zbl 1013.76085
Bernardi, Christine; Pironneau, Olivier
3
2002
Mortar spectral element methods for elliptic equations with discontinuous coefficients. Zbl 1027.65156
Bernardi, Christine; Chorfi, Nejmeddine
3
2002
Spectral, spectral element and mortar element methods. Zbl 0991.65124
Bernardi, Christine; Maday, Yvon
22
2001
Spectral element discretizations of the Poisson equation with mixed boundary conditions. Zbl 1004.65119
Bernardi, C.; Maday, Y.
20
2001
An error indicator for mortar element solutions to the Stokes problem. Zbl 0998.65113
Bernardi, Christine; Fiétier, Nicolas; Owens, Robert G.
12
2001
Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110
Belhachmi, Z.; Bernardi, C.; Karageorghis, A.
9
2001
Adaptive finite volume or finite element discretization of Darcy’s equations with variable permeability. (Un schéma de volumes ou éléments finis adaptatif pour les équations de Darcy à perméabilité variable.) Zbl 0996.65123
Achdou, Yves; Bernardi, Christine
8
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
Adaptive finite element methods for elliptic equations with non-smooth coefficients. Zbl 0962.65096
Bernardi, C.; Verfürth, R.
80
2000
Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Zbl 0955.65088
Ben Belgacem, F.; Bernardi, C.; Chorfi, N.; Maday, Y.
12
2000
Error indicators for the heat equation. (Indicateurs d’erreur pour l’équation de la chaleur.) Zbl 0959.65106
Bernardi, Christine; Métivet, Brigitte
8
2000
Compatibility of traces on the edges and corners of a polyhedron. (Compatibilité de traces aux arêtes et coins d’un polyèdre.) Zbl 0976.52008
Bernardi, Christine; Dauge, Monique; Maday, Yvon
5
2000
Mesh adaptivity in finite elements using the mortar method. Zbl 0954.65081
Bernardi, Christine; Maday, Yvon
4
2000
More pressure in the finite element discretization of the Stokes problem. Zbl 0992.76051
Bernardi, Christine; Hecht, Frédéric
2
2000
A model for two coupled turbulent fluids. Zbl 1009.76044
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
1
2000
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001
Bernardi, Christine; Dauge, Monique; Maday, Yvon
43
1999
Uniform inf-sup conditions for the spectral discretization of the Stokes problem. Zbl 0944.76058
Bernardi, C.; Maday, Y.
40
1999
Spectral element discretization of the Maxwell equations. Zbl 0932.65110
Ben Belgacem, F.; Bernardi, C.
15
1999
Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation. Zbl 0956.76040
Amara, Mohamed; Bernardi, Christine
13
1999
An improved inf-sup condition for the spectral discretization of the Stokes problem in a cylinder. Zbl 0934.76066
Bernardi, Christine
1
1999
Existence of a solution for a model of two coupled turbulent fluids. (Existence d’une solution pour un modèle de deux fluides turbulents couplés.) Zbl 0930.35131
Bernardi, Christine; Chacon, Tomas; Lewandowski, Roger; Murat, François
1
1999
Spectral element discretization of the circular driven cavity. I: The Laplace equation. Zbl 0932.65118
Bernardi, C.; Karageorghis, A.
1
1999
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
354
1998
A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007
Bernardi, C.; Girault, V.
79
1998
Error indicators for the Navier-Stokes equations in stream function and vorticity formulation. Zbl 0914.76046
Amara, M.; Younes, M. Ben; Bernardi, C.
3
1998
...and 47 more Documents
all top 5

Cited by 2,334 Authors

68 Bernardi, Christine
37 Maday, Yvon
31 Gatica, Gabriel N.
26 Ciarlet, Patrick jun.
26 Nicaise, Serge
25 Wohlmuth, Barbara I.
24 Chacón Rebollo, Tomás
23 Guo, Ben-Yu
21 Girault, Vivette
21 Ruiz-Baier, Ricardo
20 Hecht, Frédéric
20 Quarteroni, Alfio M.
19 Rodríguez, Rodolfo
18 Oyarzúa, Ricardo
18 Vohralík, Martin
17 Ben Belgacem, Faker
17 Rapetti, Francesca
16 Chorfi, Nejmeddine
15 Duan, Huoyuan
14 Amrouche, Chérif
14 Buffa, Annalisa
14 Chen, Jinru
14 Xu, Chuanju
13 Azaïez, Mejdi
13 Gervasio, Paola
13 Sayah, Toni
12 Bertoluzza, Silvia
12 Hiptmair, Ralf
12 Li, Huiyuan
12 Neilan, Michael
12 Shen, Jie
11 Hild, Patrick
11 Lamichhane, Bishnu Prasad
11 Perugia, Ilaria
11 Stephan, Ernst Peter
11 Yakoubi, Driss
11 Zhang, Shangyou
11 Zhang, Zhimin
10 Belhachmi, Zakaria
10 Dauge, Monique
10 Heinrichs, Wilhelm
10 Hou, Yanren
10 Karageorghis, Andreas
10 Seshaiyer, Padmanabhan
10 Zou, Jun
9 Bermúdez, Alfredo
9 Cai, Zhiqiang
9 Dehghan Takht Fooladi, Mehdi
9 Guermond, Jean-Luc
9 Li, Jichun
9 Meddahi, Salim
9 Otárola, Enrique
9 Pasciak, Joseph E.
9 Pavarino, Luca Franco
9 Salgado, Abner J.
9 Yotov, Ivan
8 Abdelwahed, Mohamed
8 Anaya, Verónica
8 Burman, Erik
8 Carstensen, Carsten
8 Costabel, Martin
8 Gómez Mármol, Macarena
8 He, Xiaoming
8 He, Yinnian
8 Mora, David
8 Nochetto, Ricardo Horacio
8 Rønquist, Einar M.
8 Salgado, Pilar
8 Sayas, Francisco-Javier
8 Sinha, Rajen Kumar
8 Tan, Roger C. E.
8 Venegas, Pablo
8 Xu, Xuejun
8 Yousept, Irwin
8 Zhang, Shun
8 Zhou, Jianwei
7 Ainsworth, Mark
7 Alonso Rodríguez, Ana
7 Berrone, Stefano
7 Colmenares, Eligio
7 Deparis, Simone
7 Deville, Michel O.
7 Ern, Alexandre
7 Guzmán, Johnny
7 Houston, Paul
7 Joly, Patrick
7 Kang, Tong
7 Laursen, Tod A.
7 Mao, Shipeng
7 Novo, Julia
7 Park, Eun-Jae
7 Pauly, Dirk
7 Pironneau, Olivier
7 Schötzau, Dominik
7 Slodička, Marián
7 Suri, Manil
7 Verfürth, Rüdiger
7 Wall, Wolfgang A.
7 Wang, Lilian
7 Wihler, Thomas Pascal
...and 2,234 more Authors
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Cited in 213 Serials

217 Computer Methods in Applied Mechanics and Engineering
102 Journal of Scientific Computing
100 Numerische Mathematik
96 Mathematics of Computation
95 Journal of Computational and Applied Mathematics
93 Computers & Mathematics with Applications
80 Applied Numerical Mathematics
76 Journal of Computational Physics
58 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
47 SIAM Journal on Numerical Analysis
44 Applied Mathematics and Computation
40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
37 Comptes Rendus. Mathématique. Académie des Sciences, Paris
34 Numerical Methods for Partial Differential Equations
33 Calcolo
30 SIAM Journal on Scientific Computing
29 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
25 Journal of Mathematical Analysis and Applications
23 Advances in Computational Mathematics
21 Computational Mechanics
19 Numerical Algorithms
18 Computers and Fluids
17 International Journal for Numerical Methods in Engineering
17 RAIRO. Modélisation Mathématique et Analyse Numérique
16 Applicable Analysis
16 Mathematical Methods in the Applied Sciences
15 Computational Methods in Applied Mathematics
13 International Journal for Numerical Methods in Fluids
10 BIT
10 Journal of Differential Equations
10 Nonlinear Analysis. Real World Applications
10 Boundary Value Problems
10 Discrete and Continuous Dynamical Systems. Series S
9 Archive for Rational Mechanics and Analysis
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Numerical Functional Analysis and Optimization
9 SIAM Journal on Mathematical Analysis
9 Journal of Numerical Mathematics
8 Journal of Mathematical Fluid Mechanics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Computing
7 Applied Mathematics Letters
7 Mathematical and Computer Modelling
7 Applied Mathematical Modelling
7 Archives of Computational Methods in Engineering
7 Communications in Computational Physics
7 Advances in Applied Mathematics and Mechanics
6 Acta Mathematicae Applicatae Sinica. English Series
6 International Journal of Numerical Analysis and Modeling
6 S\(\vec{\text{e}}\)MA Journal
5 Journal of Functional Analysis
5 SIAM Journal on Control and Optimization
5 Japan Journal of Industrial and Applied Mathematics
5 Applications of Mathematics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Computational Optimization and Applications
5 Numerical Linear Algebra with Applications
5 Abstract and Applied Analysis
5 Computational Geosciences
5 Journal of Applied Mathematics and Computing
4 Journal of Engineering Mathematics
4 Theoretical and Computational Fluid Dynamics
4 Integral Equations and Operator Theory
4 Applied Mathematics and Mechanics. (English Edition)
4 Chinese Annals of Mathematics. Series B
4 International Journal of Computer Mathematics
4 Mathematical Problems in Engineering
4 Advances in Difference Equations
4 Inverse Problems in Science and Engineering
4 GAMM-Mitteilungen
4 Science China. Mathematics
4 SIAM/ASA Journal on Uncertainty Quantification
3 Communications in Mathematical Physics
3 Computer Physics Communications
3 Inverse Problems
3 Journal of Optimization Theory and Applications
3 Mathematics and Computers in Simulation
3 Mathematische Nachrichten
3 Mathematische Zeitschrift
3 Quarterly of Applied Mathematics
3 COMPEL
3 Journal of Elasticity
3 Applied and Computational Harmonic Analysis
3 Journal of Mathematical Sciences (New York)
3 Computational and Applied Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Engineering Analysis with Boundary Elements
3 Discrete and Continuous Dynamical Systems
3 International Journal of Computational Fluid Dynamics
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Journal of Applied Mathematics
3 Multiscale Modeling & Simulation
3 Frontiers of Mathematics in China
3 Advances in Nonlinear Analysis
3 East Asian Journal on Applied Mathematics
3 SMAI Journal of Computational Mathematics
3 Communications on Applied Mathematics and Computation
2 International Journal of Heat and Mass Transfer
2 Ukrainian Mathematical Journal
2 Annali di Matematica Pura ed Applicata. Serie Quarta
...and 113 more Serials
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Cited in 46 Fields

1,423 Numerical analysis (65-XX)
906 Partial differential equations (35-XX)
700 Fluid mechanics (76-XX)
278 Mechanics of deformable solids (74-XX)
239 Optics, electromagnetic theory (78-XX)
76 Calculus of variations and optimal control; optimization (49-XX)
40 Approximations and expansions (41-XX)
38 Classical thermodynamics, heat transfer (80-XX)
28 Operator theory (47-XX)
28 Geophysics (86-XX)
27 Functional analysis (46-XX)
25 Statistical mechanics, structure of matter (82-XX)
22 Global analysis, analysis on manifolds (58-XX)
19 Ordinary differential equations (34-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Biology and other natural sciences (92-XX)
14 Integral equations (45-XX)
14 Systems theory; control (93-XX)
13 Real functions (26-XX)
11 Operations research, mathematical programming (90-XX)
10 Computer science (68-XX)
9 Potential theory (31-XX)
9 Special functions (33-XX)
8 Differential geometry (53-XX)
8 Probability theory and stochastic processes (60-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Relativity and gravitational theory (83-XX)
5 Quantum theory (81-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Information and communication theory, circuits (94-XX)
4 Astronomy and astrophysics (85-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
3 Statistics (62-XX)
3 Mechanics of particles and systems (70-XX)
2 Algebraic geometry (14-XX)
2 Manifolds and cell complexes (57-XX)
1 Combinatorics (05-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)

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