Edit Profile (opens in new tab) Bernardi, Christine Compute Distance To: Compute Author ID: bernardi.christine Published as: Bernardi, Christine; Bernardi, C. External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 166 Publications since 1981, including 3 Books 1 Contribution as Editor Co-Authors: 90 Co-Authors with 161 Joint Publications 2,037 Co-Co-Authors all top 5 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 all top 5 Fields 134 Numerical analysis (65-XX) 96 Partial differential equations (35-XX) 84 Fluid mechanics (76-XX) 9 Functional analysis (46-XX) 8 Mechanics of deformable solids (74-XX) 6 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 0914.35094Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V. 354 1998 A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094Bernardi, C.; Maday, Y.; Patera, A. T. 271 1994 Spectral approximation for elliptic boundary value problems. (Approximations spectrales de problèmes aux limites elliptiques.) Zbl 0773.47032Bernardi, Christine; Maday, Yvon 132 1992 Domain decomposition by the mortar element method. Zbl 0799.65124Bernardi, C.; Maday, Y.; Patera, A. T. 100 1993 Analysis of some finite elements for the Stokes problem. Zbl 0563.65075Bernardi, Christine; Raugel, Geneviève 83 1985 Adaptive finite element methods for elliptic equations with non-smooth coefficients. Zbl 0962.65096Bernardi, C.; Verfürth, R. 80 2000 A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007Bernardi, C.; Girault, V. 79 1998 Optimal finite-element interpolation on curved domains. Zbl 0678.65003Bernardi, Christine 79 1989 Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem. Zbl 0666.76055Bernardi, Christine; Canuto, Claudio; Maday, Yvon 56 1988 A posteriori analysis of the finite element discretization of some parabolic equations. Zbl 1072.65124Bergam, A.; Bernardi, C.; Mghazli, Z. 53 2005 A priori and a posteriori analysis of finite volume discretizations of Darcy’s equations. Zbl 1050.76035Achdou, Y.; Bernardi, C.; Coquel, F. 47 2003 Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 46 2004 Polynomial interpolation results in Sobolev spaces. Zbl 0767.41001Bernardi, Christine; Maday, Yvon 46 1992 Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001Bernardi, Christine; Dauge, Monique; Maday, Yvon 43 1999 Uniform inf-sup conditions for the spectral discretization of the Stokes problem. Zbl 0944.76058Bernardi, C.; Maday, Y. 40 1999 Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem. Zbl 1107.65103Belhachmi, Zakaria; Bernardi, Christine; Deparis, Simone 34 2006 Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida 34 2008 Basics and some applications of the mortar element method. Zbl 1177.65178Bernardi, 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 0839.76016Bernardi, Christine; Métivet, Brigitte; Pernaud-Thomas, Bernadette 33 1995 Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier 30 2005 Properties of some weighted Sobolev spaces and application to spectral approximations. Zbl 0675.65114Bernardi, Christine; Maday, Yvon 29 1989 Coupling finite element and spectral methods: First results. Zbl 0685.65098Bernardi, Christine; Debit, Naïma; Maday, Yvon 29 1990 A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042Bernardi, Christine; Verfürth, Rüdiger 28 2004 Spectral discretization of the vorticity, velocity, and pressure formulation of the Stokes problem. Zbl 1117.65159Bernardi, Christine; Chorfi, Nejmeddine 25 2006 Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation. Zbl 0753.76130Bernardi, Christine; Girault, Vivette; Maday, Yvon 23 1992 Spectral, spectral element and mortar element methods. Zbl 0991.65124Bernardi, Christine; Maday, Yvon 22 2001 A conforming finite element method for the time-dependent Navier-Stokes equations. Zbl 0578.65122Bernardi, Christine; Raugel, Geneviève 22 1985 On the shallow water equations at low Reynolds number. Zbl 0723.76033Bernardi, Christine; Pironneau, Olivier 21 1991 Spectral element discretizations of the Poisson equation with mixed boundary conditions. Zbl 1004.65119Bernardi, 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 0475.76035Bernardi, C.; Raugel, G. 20 1981 Error indicators for the mortar finite element discretization of the Laplace equation. Zbl 1012.65108Bernardi, Christine; Hecht, Frédéric 19 2002 A collocation method over staggered grids for the Stokes problem. Zbl 0665.76037Bernardi, Christine; Maday, Yvon 19 1988 Polynomial approximation of some singular functions. Zbl 0701.41009Bernardi, Christine; Maday, Yvon 18 1991 Some spectral approximations of two-dimensional fourth-order problems. Zbl 0754.65088Bernardi, Christine; Coppoletta, Giuseppe; Maday, Yvon 18 1992 Time and space adaptivity for the second-order wave equation. Zbl 1070.65083Bernardi, Christine; Süli, Endre 17 2005 Spectral element discretization of the Maxwell equations. Zbl 0932.65110Ben Belgacem, F.; Bernardi, C. 15 1999 A finite element discretization of the three-dimensional Navier-Stokes equations with mixed boundary conditions. Zbl 1422.76124Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger 14 2009 A new finite-element discretization of the Stokes problem coupled with the Darcy equations. Zbl 1423.76213Bernardi, 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 0956.76040Amara, Mohamed; Bernardi, Christine 13 1999 Spectral methods applied to porous media equations. Zbl 0838.76055Azaïez, M.; Bernardi, C.; Grundmann, M. 12 1994 Discretization of an unsteady flow through a porous solid modeled by Darcy’s equations. Zbl 1157.76023Bernardi, Christine; Girault, Vivette; Rajagopal, Kumbakonam R. 12 2008 Spectral approximation of the periodic nonperiodic Navier-Stokes equations. Zbl 0583.65085Bernardi, Christine; Maday, Yvon; Métivet, Brigitte 12 1987 An error indicator for mortar element solutions to the Stokes problem. Zbl 0998.65113Bernardi, Christine; Fiétier, Nicolas; Owens, Robert G. 12 2001 Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Zbl 0955.65088Ben Belgacem, F.; Bernardi, C.; Chorfi, N.; Maday, Y. 12 2000 A model for two coupled turbulent fluids. I: Analysis of the system. Zbl 1034.35106Bernardi, 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 1129.76327Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F. 11 2003 Mortar finite element discretization for the flow in a nonhomogeneous porous medium. Zbl 1173.76331Bernardi, Christine; Hecht, Frédéric; Mghazli, Zoubida 11 2007 A density result for Maxwell’s equations. (Un résultat de densité pour les équations de Maxwell.) Zbl 0880.35115Ben Belgacem, Faker; Bernardi, Christine; Costabel, Martin; Dauge, Monique 10 1997 A model for two coupled turbulent fluids. III: Numerical approximation by finite elements. Zbl 1129.76326Bernardi, C.; Chacón Rebollo, T.; Gómez Mármol, M.; Lewandowski, R.; Murat, F. 10 2004 Resolution of fourth-order problems by the mortar element method. Zbl 0824.65111Belhachmi, 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 0642.76037Bernardi, C.; Maday, Y.; Métivet, B. 10 1987 Spectral discretization of Darcy’s equations coupled with the heat equation. Zbl 1433.76121Bernardi, Christine; Maarouf, Sarra; Yakoubi, Driss 9 2016 Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette 9 2016 A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099Bernardi, C.; Girault, V.; Hecht, F. 9 2003 Spectral discretization of Darcy’s equations with pressure dependent porosity. Zbl 1342.76090Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine; Chorfi, Nejmeddine 9 2010 Relèvement polynômial de traces et applications. (Polynomial lifting of traces and applications). Zbl 0707.65077Bernardi, Christine; Maday, Yvon 9 1990 Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110Belhachmi, Z.; Bernardi, C.; Karageorghis, A. 9 2001 Trace liftings which preserve polynomials. (Relèvements de traces préservant les polynômes.) Zbl 0755.65103Bernardi, 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 0668.76038Bernardi, Christine; Maday, Yvon 9 1988 Noncorming matching conditions for coupling spectral and finite element methods. Zbl 0684.65099Bernardi, Christine; Maday, Yvon; Sacchi Landriani, Giovanni 9 1989 Non-conforming spectral element-finite element approximations for partial differential equations. Zbl 0697.65080Bègue, 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 1040.35067Bernardi, C.; Pironneau, O. 8 2003 Spectral discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes equations. Zbl 1138.76052Azaïez, Mejdi; Bernardi, Christine; Chorfi, Nejmeddine 8 2006 A posteriori error analysis for two non-overlapping domain decomposition techniques. Zbl 1166.65053Bernardi, 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 0996.65123Achdou, Yves; Bernardi, Christine 8 2001 Error indicators for the heat equation. (Indicateurs d’erreur pour l’équation de la chaleur.) Zbl 0959.65106Bernardi, 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 0612.49004Bernardi, Christine; Canuto, Claudio; Maday, Yvon 8 1986 A posteriori analysis of iterative algorithms for a nonlinear problem. Zbl 1331.65152Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Sayah, Toni 8 2015 On the unilateral contact between membranes. II: A posteriori analysis and numerical experiments. Zbl 1451.74176Ben 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 0830.65106Bernardi, 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 0843.65077Bernardi, Christine 7 1996 A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain. Zbl 1134.76376Belhachmi, 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 1353.76050Bernardi, Christine; El Alaoui, Linda; Mghazli, Zoubida 7 2014 A posteriori error analysis of the time-dependent Stokes equations with mixed boundary conditions. Zbl 1310.65106Bernardi, Christine; Sayah, Toni 6 2015 On the unilateral contact between membranes. I: Finite element discretization and mixed reformulation. Zbl 1162.74031Ben Belgacem, F.; Bernardi, C.; Blouza, A.; Vohralík, M. 6 2009 A finite element discretization of the contact between two membranes. Zbl 1157.74036Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin 6 2009 Error indicators for the mortar finite element discretization of a parabolic problem. Zbl 1035.65102Bergam, A.; Bernardi, C.; Hecht, F.; Mghazli, Z. 6 2003 Spectral approximation of a Schrödinger type equation. Zbl 0791.35026Bernardi, Christine; Pelissier, Marie-Claude 6 1994 Interpolation of nullspaces for polynomial approximation of divergence- free functions in a cube. Zbl 0830.46015Bernardi, Christine; Dauge, Monique; Maday, Yvon 6 1995 Finite element methods for Darcy’s problem coupled with the heat equation. Zbl 1393.35159Bernardi, 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 1299.76049Aouadi, Saloua Mani; Bernardi, Christine; Satouri, Jamil 5 2014 Approximation results for spectral methods with domain decomposition. Zbl 0686.65081Bernardi, Christine; Maday, Yvon 5 1989 A posteriori analysis of a finite element discretization of a Naghdi shell model. Zbl 1329.74268Bernardi, 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 1169.76031Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Lewandowski, Roger 5 2009 Spectral approximations of the Stokes equations with boundary conditions on the pressure. Zbl 0727.76040Bernardi, 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 0976.52008Bernardi, Christine; Dauge, Monique; Maday, Yvon 5 2000 Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094Belhachmi, 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 1217.49005Ben Belgacem, Faker; Bernardi, Christine; Fekih, Henda El 5 2011 Spectral discretization of the Navier-Stokes equations coupled with the heat equation. Zbl 1325.35134Agroum, 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 1325.35136Bernardi, Christine; Chacón Rebollo, Tomás; Yakoubi, Driss 5 2015 A posteriori error analysis of the time dependent Navier-Stokes equations with mixed boundary conditions. Zbl 1327.65183Bernardi, Christine; Sayah, Toni 5 2015 A posteriori analysis of iterative algorithms for Navier-Stokes problem. Zbl 1457.65179Bernardi, 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 1419.65053Bernardi, Christine; Orfi, Ajmia Younes 4 2018 A FETI method with a mesh independent condition number for the iteration matrix. Zbl 1186.65147Bernardi, C.; Chacón Rebollo, T.; Chacón Vera, E. 4 2008 Handling corner singularities by the mortar spectral element method. Zbl 0738.65082Amara, M.; Bernardi, C.; Moussaoui, M. A. 4 1992 Approximation numérique de certaines équations paraboliques non linéaires. Zbl 0548.65071Bernardi, C.; Raugel, G. 4 1984 Finite element approximation of viscous flows with varying density. Zbl 0755.76052Bernardi, Christine; Laval, Frédéric; Métivet, Brigitte; Pernaud- Thomas, Bernadette 4 1992 Mesh adaptivity in finite elements using the mortar method. Zbl 0954.65081Bernardi, Christine; Maday, Yvon 4 2000 Numerical approximation of a periodic linear parabolic problem. Zbl 0493.65041Bernardi, Christine 4 1982 The lifting of polynomial traces revisited. Zbl 1227.46026Bernardi, Christine; Dauge, Monique; Maday, Yvon 4 2010 Finite element methods for Darcy’s problem coupled with the heat equation. Zbl 1393.35159Bernardi, 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 1419.65053Bernardi, Christine; Orfi, Ajmia Younes 4 2018 Convergence analysis of two numerical schemes applied to a nonlinear elliptic problem. Zbl 1398.65288Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Rafei, Farah; Sayah, Toni 1 2017 Spectral discretization of Darcy’s equations coupled with the heat equation. Zbl 1433.76121Bernardi, Christine; Maarouf, Sarra; Yakoubi, Driss 9 2016 Continuity properties of the inf-sup constant for the divergence. Zbl 1339.35230Bernardi, Christine; Costabel, Martin; Dauge, Monique; Girault, Vivette 9 2016 A posteriori analysis of iterative algorithms for Navier-Stokes problem. Zbl 1457.65179Bernardi, 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 1383.76331Bernardi, Christine; Orfi, Ajmia Younes 2 2016 Mortar finite element discretization of the time dependent nonlinear Darcy’s equations. Zbl 1457.65087Amoura, Karima; Bernardi, Christine; Saadi, Samira 2 2016 Spectral discretization of an unsteady flow through a porous solid. Zbl 06793311Bernardi, Christine; Maarouf, Sarra; Yakoubi, Driss 1 2016 A posteriori analysis of iterative algorithms for a nonlinear problem. Zbl 1331.65152Bernardi, Christine; Dakroub, Jad; Mansour, Gihane; Sayah, Toni 8 2015 A posteriori error analysis of the time-dependent Stokes equations with mixed boundary conditions. Zbl 1310.65106Bernardi, Christine; Sayah, Toni 6 2015 Spectral discretization of the Navier-Stokes equations coupled with the heat equation. Zbl 1325.35134Agroum, 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 1325.35136Bernardi, Christine; Chacón Rebollo, Tomás; Yakoubi, Driss 5 2015 A posteriori error analysis of the time dependent Navier-Stokes equations with mixed boundary conditions. Zbl 1327.65183Bernardi, Christine; Sayah, Toni 5 2015 Finite element methods for the temperature in composite media with contact resistance. Zbl 1323.80004Ben 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 1410.76315Agroum, Rahma; Bernardi, Christine; Satouri, Jamil 3 2015 Finite element discretization of the time dependent axisymmetric Darcy problem. Zbl 1330.76063Bernardi, 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 1353.76050Bernardi, Christine; El Alaoui, Linda; Mghazli, Zoubida 7 2014 Mortar spectral element discretization of the Stokes problem in axisymmetric domains. Zbl 1299.76049Aouadi, Saloua Mani; Bernardi, Christine; Satouri, Jamil 5 2014 Finite element discretization of a nonlinear thermoelastic beam model with penalized unilateral contact. Zbl 1420.74010Bernardi, Christine; Copetti, Maria Inês M. 2 2014 On Friedrichs constant and Horgan-Payne angle for LBB condition. Zbl 1360.35174Dauge, Monique; Bernardi, Christine; Costabel, Martin; Girault, Vivette 2 2014 Stabilized finite elements for a reaction-dispersion saddle-point problem with nonconstant coefficients. Zbl 1311.65142Ben Belgacem, Faker; Bernardi, Christine; Hecht, Frédéric; Salmon, Stéphanie 1 2014 A posteriori analysis of a finite element discretization of a Naghdi shell model. Zbl 1329.74268Bernardi, Christine; Hecht, Frédéric; Le Dret, Hervé; Blouza, Adel 5 2013 Automatic simplification of darcy’s equations with pressure dependent permeability. Zbl 1311.76128Ahusborde, Etienne; Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine 3 2013 On the unilateral contact between membranes. II: A posteriori analysis and numerical experiments. Zbl 1451.74176Ben 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 1256.65096Bernardi, Christine; Chacón Rebollo, Tomás; Restelli, Marco 1 2012 An incompressible fluid in a weakly deformable shell. I: Analysis of the model. Zbl 1290.74013Bernardi, 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 1217.49005Ben Belgacem, Faker; Bernardi, Christine; Fekih, Henda El 5 2011 On the obstacle problem for a Naghdi shell. Zbl 1273.74350Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Taallah, Frekh 3 2011 A posteriori error analysis of the method of characteristics. Zbl 1228.65181Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger 2 2011 A penalty algorithm for the spectral element discretization of the Stokes problem. Zbl 1267.76023Bernardi, Christine; Blouza, Adel; Chorfi, Nejmeddine; Kharrat, Nizar 1 2011 A new finite-element discretization of the Stokes problem coupled with the Darcy equations. Zbl 1423.76213Bernardi, Christine; Hecht, Frédéric; Nouri, Fatma Zohra 13 2010 Spectral discretization of Darcy’s equations with pressure dependent porosity. Zbl 1342.76090Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine; Chorfi, Nejmeddine 9 2010 The lifting of polynomial traces revisited. Zbl 1227.46026Bernardi, Christine; Dauge, Monique; Maday, Yvon 4 2010 A finite element discretization of the three-dimensional Navier-Stokes equations with mixed boundary conditions. Zbl 1422.76124Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger 14 2009 A posteriori error analysis for two non-overlapping domain decomposition techniques. Zbl 1166.65053Bernardi, 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 1162.74031Ben Belgacem, F.; Bernardi, C.; Blouza, A.; Vohralík, M. 6 2009 A finite element discretization of the contact between two membranes. Zbl 1157.74036Ben 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 1169.76031Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Lewandowski, Roger 5 2009 Computing Gowdy spacetimes via spectral evolution in future and past directions. Zbl 1158.83301Amorim, Paulo; Bernardi, Christine; LeFloch, Philippe G. 3 2009 Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044Bernardi, 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 1157.76023Bernardi, Christine; Girault, Vivette; Rajagopal, Kumbakonam R. 12 2008 A FETI method with a mesh independent condition number for the iteration matrix. Zbl 1186.65147Bernardi, 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 1139.65073Azaïez, M.; Ben Belgacem, F.; Bernardi, C.; El Rhabi, M. 1 2008 Mortar finite element discretization for the flow in a nonhomogeneous porous medium. Zbl 1173.76331Bernardi, Christine; Hecht, Frédéric; Mghazli, Zoubida 11 2007 Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. Zbl 1145.65094Belhachmi, 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 1114.65139Bernardi, Christine; Hecht, Frédéric 4 2007 Spectral discretization of a Naghdi shell model. Zbl 1154.74048Bernardi, 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 1110.65107Bernardi, Christine; Girault, Vivette 1 2007 Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem. Zbl 1107.65103Belhachmi, Zakaria; Bernardi, Christine; Deparis, Simone 34 2006 Spectral discretization of the vorticity, velocity, and pressure formulation of the Stokes problem. Zbl 1117.65159Bernardi, Christine; Chorfi, Nejmeddine 25 2006 Spectral discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes equations. Zbl 1138.76052Azaïez, Mejdi; Bernardi, Christine; Chorfi, Nejmeddine 8 2006 A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain. Zbl 1134.76376Belhachmi, 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 1101.76031Belhachmi, Z.; Bernardi, C.; Deparis, S.; Hecht, F. 3 2006 Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem. Zbl 1109.76044Amoura, 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 1094.65116Azaïez, M.; Ben Belgacem, F.; Bernardi, C. 1 2006 A posteriori analysis of the finite element discretization of some parabolic equations. Zbl 1072.65124Bergam, A.; Bernardi, C.; Mghazli, Z. 53 2005 Basics and some applications of the mortar element method. Zbl 1177.65178Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 34 2005 Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier 30 2005 Time and space adaptivity for the second-order wave equation. Zbl 1070.65083Bernardi, Christine; Süli, Endre 17 2005 Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036Amara, 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 1125.35099Ben Belgacem, Faker; Bernardi, Christine; Rapetti, Francesca 1 2005 Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 46 2004 A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042Bernardi, Christine; Verfürth, Rüdiger 28 2004 A model for two coupled turbulent fluids. III: Numerical approximation by finite elements. Zbl 1129.76326Bernardi, 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 1079.76055Abdellatif, Nehla; Bernardi, Christine 3 2004 Spectral element discretization of the circular driven cavity. IV: the Navier-Stokes equations. Zbl 1084.65121Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas 3 2004 A priori and a posteriori analysis of finite volume discretizations of Darcy’s equations. Zbl 1050.76035Achdou, Y.; Bernardi, C.; Coquel, F. 47 2003 A model for two coupled turbulent fluids. II: Numerical analysis of a spectral discretization. Zbl 1129.76327Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F. 11 2003 A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099Bernardi, C.; Girault, V.; Hecht, F. 9 2003 Sensitivity of Darcy’s law to discontinuities. Zbl 1040.35067Bernardi, C.; Pironneau, O. 8 2003 Error indicators for the mortar finite element discretization of a parabolic problem. Zbl 1035.65102Bergam, 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 1031.65135Belhachmi, Z.; Bernardi, Christine; Karageorghis, Andreas 1 2003 Error indicators for the mortar finite element discretization of the Laplace equation. Zbl 1012.65108Bernardi, Christine; Hecht, Frédéric 19 2002 A model for two coupled turbulent fluids. I: Analysis of the system. Zbl 1034.35106Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F. 11 2002 Derivative with respect to discontinuities in the porosity. Zbl 1013.76085Bernardi, Christine; Pironneau, Olivier 3 2002 Mortar spectral element methods for elliptic equations with discontinuous coefficients. Zbl 1027.65156Bernardi, Christine; Chorfi, Nejmeddine 3 2002 Spectral, spectral element and mortar element methods. Zbl 0991.65124Bernardi, Christine; Maday, Yvon 22 2001 Spectral element discretizations of the Poisson equation with mixed boundary conditions. Zbl 1004.65119Bernardi, C.; Maday, Y. 20 2001 An error indicator for mortar element solutions to the Stokes problem. Zbl 0998.65113Bernardi, Christine; Fiétier, Nicolas; Owens, Robert G. 12 2001 Spectral element discretization of the circular driven cavity. II: The bilaplacian equation. Zbl 0988.65110Belhachmi, 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 0996.65123Achdou, Yves; Bernardi, Christine 8 2001 A finite element problem issued from fictious domain techniques. Zbl 1002.65127Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O. 3 2001 Adaptive finite element methods for elliptic equations with non-smooth coefficients. Zbl 0962.65096Bernardi, C.; Verfürth, R. 80 2000 Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Zbl 0955.65088Ben 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 0959.65106Bernardi, 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 0976.52008Bernardi, Christine; Dauge, Monique; Maday, Yvon 5 2000 Mesh adaptivity in finite elements using the mortar method. Zbl 0954.65081Bernardi, Christine; Maday, Yvon 4 2000 More pressure in the finite element discretization of the Stokes problem. Zbl 0992.76051Bernardi, Christine; Hecht, Frédéric 2 2000 A model for two coupled turbulent fluids. Zbl 1009.76044Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F. 1 2000 Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001Bernardi, Christine; Dauge, Monique; Maday, Yvon 43 1999 Uniform inf-sup conditions for the spectral discretization of the Stokes problem. Zbl 0944.76058Bernardi, C.; Maday, Y. 40 1999 Spectral element discretization of the Maxwell equations. Zbl 0932.65110Ben Belgacem, F.; Bernardi, C. 15 1999 Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation. Zbl 0956.76040Amara, Mohamed; Bernardi, Christine 13 1999 An improved inf-sup condition for the spectral discretization of the Stokes problem in a cylinder. Zbl 0934.76066Bernardi, 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 0930.35131Bernardi, Christine; Chacon, Tomas; Lewandowski, Roger; Murat, François 1 1999 Spectral element discretization of the circular driven cavity. I: The Laplace equation. Zbl 0932.65118Bernardi, C.; Karageorghis, A. 1 1999 Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V. 354 1998 A local regularization operator for triangular and quadrilateral finite elements. Zbl 0913.65007Bernardi, C.; Girault, V. 79 1998 Error indicators for the Navier-Stokes equations in stream function and vorticity formulation. Zbl 0914.76046Amara, M.; Younes, M. Ben; Bernardi, C. 3 1998 ...and 47 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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