Edit Profile (opens in new tab) Ben Belgacem, Faker Co-Author Distance Author ID: ben-belgacem.faker Published as: Ben Belgacem, Faker; Ben Belgacem, F.; Belgacem, Faker Ben more...less Homepage: http://lmac.utc.fr/faker-ben-belgacem-3 External Links: MGP Documents Indexed: 95 Publications since 1993 Co-Authors: 60 Co-Authors with 80 Joint Publications 1,210 Co-Co-Authors all top 5 Co-Authors 13 single-authored 21 Azaïez, Mejdi 16 Bernardi, Christine 16 Jelassi, Faten 9 El Fekih, Henda 8 Maday, Yvon 5 Gmati, Nabil 4 Blouza, Adel 4 Fournié, Michel 4 Grundmann, Miloslav 4 Seshaiyer, Padmanabhan 3 Belhachmi, Zakaria 3 Chacón Rebollo, Tomás 3 Chilton, Lawrence K. 3 Du, Duc Thang 3 Girault, Vivette 3 Hecht, Frédéric 3 Hild, Patrick 3 Kaber, Sidimahmoud 3 Laborde, Patrick 3 Renard, Yves 3 Vohralík, Martin 2 Ahusborde, Etienne 2 Buffa, Annalisa 2 Chorfi, Nejmeddine 2 Khallouf, Hicham 2 Mint Brahim, Maimouna 2 Rapetti, Francesca 2 Raymond, Jean-Pierre 2 Slimane, Leila 1 Airiau, Stéphane 1 Andrle, Michael 1 Arfaoui, Hassen 1 Auliac, Sylvain 1 Bejaoui, Eya 1 Ben Abdallah, Adnene 1 Bouchiba, Mohamed 1 Brenner, Susanne Cecelia 1 Casado-Díaz, Juan 1 Costabel, Martin 1 Dauge, Monique 1 Debit, Naïma 1 El Rhabi, Mohammed 1 Elbadia, Abdellatif 1 Escriva, Xavier 1 Gómez Mármol, Macarena 1 Guivarch, Ronan 1 Ismail, Mourad 1 Jabin, Pierre-Emmanuel 1 Kaber, Sidi M. Ould 1 Karimi-Fard, Mohammad 1 Kateb, Djalil M. 1 Khiari, Souad 1 Le Bot, Cédric 1 Metoui, Hejer 1 Murat, François 1 Nouri, Thouraya Baranger 1 Palomo Del Barrio, E. 1 Robin, Vincent 1 Salmon, Stéphanie 1 Sánchez Muñoz, Isabel 1 Suri, Manil 1 Taallah, Frekh all top 5 Serials 11 Inverse Problems 7 SIAM Journal on Numerical Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Comptes Rendus de l’Académie des Sciences. Série I 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 IMA Journal of Numerical Analysis 3 Mathematics of Computation 3 Numerische Mathematik 3 Asymptotic Analysis 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Inverse and Ill-Posed Problems 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Journal of Mathematical Study 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computers and Fluids 2 Computers & Mathematics with Applications 2 Journal of Scientific Computing 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Archive for Rational Mechanics and Analysis 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Mathematica Balkanica. New Series 1 Mathematical and Computer Modelling 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 East-West Journal of Numerical Mathematics 1 Revue Européenne des Éléments Finis 1 ETNA. Electronic Transactions on Numerical Analysis 1 Analele Universității din Craiova. Seria Matematică Informatică 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Communications in Mathematical Sciences 1 Inverse Problems in Science and Engineering 1 Inverse Problems and Imaging 1 Mathematical Modelling of Natural Phenomena all top 5 Fields 62 Numerical analysis (65-XX) 60 Partial differential equations (35-XX) 19 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-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 76 Publications have been cited 1,033 times in 664 Documents Cited by ▼ Year ▼ The mortar finite element method with Lagrange multipliers. Zbl 0944.65114 Ben Belgacem, Faker 199 1999 The mortar element method for three dimensional finite elements. Zbl 0868.65082 Ben Belgacem, F.; Maday, Y. 70 1997 Why is the Cauchy problem severely ill-posed? Zbl 1118.35060 Ben Belgacem, Faker 59 2007 On Cauchy’s problem. I: A variational Steklov-Poincaré theory. Zbl 1112.35054 Ben Belgacem, Faker; El Fekih, Henda 50 2005 Hybrid finite element methods for the Signorini problem. Zbl 1023.74043 Ben Belgacem, F.; Renard, Y. 45 2003 On Cauchy’s problem. II: Completion, regularization and approximation. Zbl 1113.35046 Azaïez, Mejdi; Ben Belgacem, Faker; El Fekih, Henda 38 2006 The mortar finite element method for contact problems. Zbl 1098.74682 Ben Belgacem, F.; Hild, P.; Laborde, P. 37 1998 Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element methods. Zbl 0974.74055 Ben Belgacem, F. 36 2000 Extension of the mortar finite element method to a variational inequality modeling unilateral contact. Zbl 0940.74056 Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick 36 1999 The mortar finite element method for 3D Maxwell equations: First results. Zbl 1001.65123 Ben Belgacem, F.; Buffa, A.; Maday, Y. 23 2001 Quadratic finite element approximation of the Signorini problem. Zbl 1112.74446 Belhachmi, Z.; Ben Belgacem, F. 23 2003 Approximation of the unilateral contact problem by the mortar finite element method. Zbl 0872.65057 Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick 22 1997 Spectral element discretization of the Maxwell equations. Zbl 0932.65110 Ben Belgacem, F.; Bernardi, C. 18 1999 The mixed mortar finite element method for the incompressible Stokes problem: Convergence analysis. Zbl 0959.65126 Ben Belgacem, Faker 18 2000 The Lavrentiev regularization of the data completion problem. Zbl 1153.35399 Ben Belgacem, F.; El Fekih, H.; Jelassi, F. 16 2008 Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012 Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer 16 2003 A spectral element methodology tuned to parallel implementations. Zbl 0841.65096 Ben Belgacem, F.; Maday, Y. 16 1994 Identification of moving pointwise sources in an advection-dispersion-reaction equation. Zbl 1210.35280 Andrle, M.; Ben Belgacem, F.; El Badia, A. 16 2011 Optimal convergence rates of \(hp\) mortar finite element methods for second-order elliptic problems. Zbl 0956.65106 Ben Belgacem, Faker; Seshaiyer, Padmanabhan; Suri, Manil 14 2000 A penalized Robin approach for solving a parabolic equation with nonsmooth Dirichlet boundary conditions. Zbl 1043.35014 Ben Belgacem, F.; El Fekih, H.; Raymond, J.-P. 14 2003 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. 13 2000 Some nonstandard finite element estimates with applications to \(3D\) Poisson and Signorini problems. Zbl 0981.65131 Ben Belgacem, Faker; Brenner, Susanne C. 11 2001 A stabilized domain decomposition method with nonmatching grids for the Stokes problem in three dimensions. Zbl 1159.76359 Ben Belgacem, Faker 11 2004 On the Dirichlet boundary controllability of the one-dimensional heat equation: semi-analytical calculations and ill-posedness degree. Zbl 1217.35208 Ben Belgacem, Faker; Kaber, Sidi Mahmoud 11 2011 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 The \(hp\)-mortar finite-element method for the mixed elasticity and Stokes problems. Zbl 1221.65302 Ben Belgacem, F.; Chilton, L. K.; Seshaiyer, P. 10 2003 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 10 2012 Staggered grid hybrid-dual spectral element method for second-order elliptic problems. Application to high-order time splitting methods for Navier-Stokes equations. Zbl 0969.76066 Azaïez, M.; Ben Belgacem, F.; Grundmann, M.; Khallouf, H. 9 1998 Polynomial extensions of compatible polynomial traces in three dimensions. Zbl 0826.65097 Ben Belgacem, Faker 9 1994 Spectral discretization of Darcy’s equations with pressure dependent porosity. Zbl 1342.76090 Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine; Chorfi, Nejmeddine 9 2010 Coupling spectral and finite elements for second order elliptic three-dimensional equations. Zbl 0942.65132 Ben Belgacem, Faker; Maday, Yvon 8 1999 Mortaring the two-dimensional edge finite elements for the discretization of some electromagnetic models. Zbl 1100.78017 Ben Abdallah, Adnene; Ben Belgacem, Faker; Maday, Yvon; Rapetti, Francesca 8 2004 Karhunen-Loève’s truncation error for bivariate functions. Zbl 1425.65066 Azaïez, M.; Ben Belgacem, F. 8 2015 Quadratic finite elements with non-matching grids for the unilateral boundary contact. Zbl 1308.74140 Auliac, S.; Belhachmi, Z.; Ben Belgacem, F.; Hecht, F. 8 2013 Extended-domain-Lavrentiev’s regularization for the Cauchy problem. Zbl 1227.65088 Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 8 2011 A finite element model for the data completion problem: analysis and assessment. Zbl 1242.65191 Azaïez, Mejdi; Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 7 2011 A finite element discretization of the contact between two membranes. Zbl 1157.74036 Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin 7 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. 7 2009 On the Schwarz algorithms for the elliptic exterior boundary value problems. Zbl 1089.65126 Ben Belgacem, Faker; Fournié, Michel; Gmati, Nabil; Jelassi, Faten 7 2005 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 7 2011 Boundary stabilizability of the linearized viscous Saint-Venant system. Zbl 1382.35205 Arfaoui, Hassen; Ben Belgacem, Faker; El Fekih, Henda; Raymond, Jean-Pierre 7 2011 Uniqueness for an ill-posed reaction-dispersion model. Application to organic pollution in stream-waters. Zbl 1251.35184 Ben Belgacem, Faker 6 2012 Non-conforming spectral method for second order elliptic problems in 3D. Zbl 0835.65129 Ben Belgacem, F.; Maday, Y. 5 1993 A mixed formulation for the Signorini problem in nearly incompressible elasticity. Zbl 1086.74037 Ben Belgacem, F.; Renard, Y.; Slimane, L. 5 2005 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 5 2015 Error bounds for POD expansions of parameterized transient temperatures. Zbl 1425.74446 Azaïez, M.; Ben Belgacem, F.; Rebollo, T. Chacón 4 2016 Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035 Ben Belgacem, F.; Girault, V.; Jelassi, F. 4 2018 On the obstacle problem for a Naghdi shell. Zbl 1273.74350 Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Taallah, Frekh 4 2011 Approximation of the wave and electromagnetic diffusion equations by spectral method. Zbl 0913.65118 Ben Belgacem, F.; Grundmann, M. 3 1998 Quadratic optimization in ill-posed problems. Zbl 1147.49021 Ben Belgacem, F.; Kaber, S-M 3 2008 The mortar method for the Maxwell’s equations in 3D. Zbl 0941.65118 Ben Belgacem, Faker; Buffa, Annalisa; Maday, Yvon 3 1999 Numerical simulation of the wave equation with discontinuous coefficients by nonconforming finite elements. Zbl 0940.65104 Azaïez, M.; Ben Belgacem, F.; El Fekih, H.; Ismaïl, M. 3 1999 On handling the boundary conditions at infinity for some exterior problems by the alternating Schwarz method. (Sur le traitement des conditions aux limites à l’infini pour quelques problèmes extérieurs par la méthode de Schwarz alternée.) Zbl 1027.65161 Ben Belgacem, F.; Fournié, M.; Gmati, N.; Jelassi, F. 3 2003 Full discretization of Cauchy’s problem by Lavrentiev-finite element method. Zbl 07498293 Ben Belgacem, Faker; Girault, Vivette; Jelassi, Faten 3 2022 Local convergence of the Lavrentiev method for the Cauchy problem via a Carleman inequality. Zbl 1280.65120 Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 3 2012 Automatic simplification of darcy’s equations with pressure dependent permeability. Zbl 1311.76128 Ahusborde, Etienne; Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine 3 2013 Convergence bounds of GMRES with Schwarz’ preconditioner for the scattering problem. Zbl 1176.76060 Ben Belgacem, Faker; Gmati, Nabil; Jelassi, Faten 3 2009 A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems. Zbl 1447.35145 Azaïez, M.; Ben Belgacem, F.; Casado-Díaz, J.; Rebollo, T. Chacón; Murat, F. 3 2018 Uniqueness for an ill-posed parabolic system. Zbl 1237.35158 Ben Belgacem, Faker 2 2011 Identifiability of surface sources from Cauchy data. Zbl 1177.35247 Ben Belgacem, F.; Jelassi, F. 2 2009 Numerical solution of Monge-Ampère equation. Zbl 1132.65105 Bouchiba, M.; Ben Belgacem, F. 2 2006 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 2 2005 Convergence of numerical approximations to non-linear continuity equations with rough force fields. Zbl 1437.35475 Ben Belgacem, F.; Jabin, P.-E. 2 2019 Finite element methods for unilateral contact problems. (Méthodes d’éléments finis pour des inéquations variationnelles de contact unilatéral.) Zbl 0944.74070 Ben Belgacem, Faker 1 1999 Ill-posedness of inverse diffusion problems by Jacobi’s theta transform. Zbl 1424.65151 Belgacem, Faker Ben; Kateb, Djalil M.; Robin, Vincent 1 2018 Non-conforming \(hp\) finite element methods for Stokes problems. Zbl 1205.76074 Ben Belgacem, Faker; Chilton, Lawrence K.; Seshaiyer, Padmanabhan 1 2002 Finite elements of order two for Signorini’s variational inequality. (Éléments finis d’ordre deux pour l’inéquation variationnelle de Signorini.) Zbl 0965.65093 Belhachmi, Zakaria; Ben Belgacem, Faker 1 2000 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 On mixed methods for Signorini problems. Zbl 1073.35516 Ben Belgacem, Faker; Renard, Yves; Slimane, Leila 1 2003 Remarks on the eigenvalues of the Laplace operator with different boundary conditions approximated by spectral method. (Remarques sur les valeurs propres de l’opérateur de Laplace avec différentes conditions aux limites approché par méthode spectrale.) Zbl 0845.47038 Ben Belgacem, Faker 1 1995 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 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 Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures. (Estimations d’erreur d’ordre élevé pour la décomposition POD appliquée à l’équation de la chaleur parametrisée.) Zbl 1362.65095 Azaïez, Mejdi; Ben Belgacem, Faker; Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Sánchez Muñoz, Isabel 1 2017 Identifiability for the pointwise source detection in Fisher’s reaction-diffusion equation. Zbl 1244.35162 Ben Belgacem, Faker 1 2012 Uniqueness in a Cauchy problem for reaction-diffusion system and inverse source problems in water pollution. Zbl 1251.35185 Ben Belgacem, Faker 1 2012 An ill-posed parabolic evolution system for dispersive deoxygenation-reaeration in water. Zbl 1285.35129 Azaïez, M.; Ben Belgacem, F.; Hecht, F.; Le Bot, C. 1 2014 Full discretization of Cauchy’s problem by Lavrentiev-finite element method. Zbl 07498293 Ben Belgacem, Faker; Girault, Vivette; Jelassi, Faten 3 2022 Convergence of numerical approximations to non-linear continuity equations with rough force fields. Zbl 1437.35475 Ben Belgacem, F.; Jabin, P.-E. 2 2019 Analysis of Lavrentiev-finite element methods for data completion problems. Zbl 1444.65035 Ben Belgacem, F.; Girault, V.; Jelassi, F. 4 2018 A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems. Zbl 1447.35145 Azaïez, M.; Ben Belgacem, F.; Casado-Díaz, J.; Rebollo, T. Chacón; Murat, F. 3 2018 Ill-posedness of inverse diffusion problems by Jacobi’s theta transform. Zbl 1424.65151 Belgacem, Faker Ben; Kateb, Djalil M.; Robin, Vincent 1 2018 Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures. (Estimations d’erreur d’ordre élevé pour la décomposition POD appliquée à l’équation de la chaleur parametrisée.) Zbl 1362.65095 Azaïez, Mejdi; Ben Belgacem, Faker; Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Sánchez Muñoz, Isabel 1 2017 Error bounds for POD expansions of parameterized transient temperatures. Zbl 1425.74446 Azaïez, M.; Ben Belgacem, F.; Rebollo, T. Chacón 4 2016 Karhunen-Loève’s truncation error for bivariate functions. Zbl 1425.65066 Azaïez, M.; Ben Belgacem, F. 8 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 5 2015 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 An ill-posed parabolic evolution system for dispersive deoxygenation-reaeration in water. Zbl 1285.35129 Azaïez, M.; Ben Belgacem, F.; Hecht, F.; Le Bot, C. 1 2014 Quadratic finite elements with non-matching grids for the unilateral boundary contact. Zbl 1308.74140 Auliac, S.; Belhachmi, Z.; Ben Belgacem, F.; Hecht, F. 8 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 10 2012 Uniqueness for an ill-posed reaction-dispersion model. Application to organic pollution in stream-waters. Zbl 1251.35184 Ben Belgacem, Faker 6 2012 Local convergence of the Lavrentiev method for the Cauchy problem via a Carleman inequality. Zbl 1280.65120 Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 3 2012 Identifiability for the pointwise source detection in Fisher’s reaction-diffusion equation. Zbl 1244.35162 Ben Belgacem, Faker 1 2012 Uniqueness in a Cauchy problem for reaction-diffusion system and inverse source problems in water pollution. Zbl 1251.35185 Ben Belgacem, Faker 1 2012 Identification of moving pointwise sources in an advection-dispersion-reaction equation. Zbl 1210.35280 Andrle, M.; Ben Belgacem, F.; El Badia, A. 16 2011 On the Dirichlet boundary controllability of the one-dimensional heat equation: semi-analytical calculations and ill-posedness degree. Zbl 1217.35208 Ben Belgacem, Faker; Kaber, Sidi Mahmoud 11 2011 Extended-domain-Lavrentiev’s regularization for the Cauchy problem. Zbl 1227.65088 Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 8 2011 A finite element model for the data completion problem: analysis and assessment. Zbl 1242.65191 Azaïez, Mejdi; Ben Belgacem, Faker; Du, Duc Thang; Jelassi, Faten 7 2011 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 7 2011 Boundary stabilizability of the linearized viscous Saint-Venant system. Zbl 1382.35205 Arfaoui, Hassen; Ben Belgacem, Faker; El Fekih, Henda; Raymond, Jean-Pierre 7 2011 On the obstacle problem for a Naghdi shell. Zbl 1273.74350 Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Taallah, Frekh 4 2011 Uniqueness for an ill-posed parabolic system. Zbl 1237.35158 Ben Belgacem, Faker 2 2011 Spectral discretization of Darcy’s equations with pressure dependent porosity. Zbl 1342.76090 Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine; Chorfi, Nejmeddine 9 2010 A finite element discretization of the contact between two membranes. Zbl 1157.74036 Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin 7 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. 7 2009 Convergence bounds of GMRES with Schwarz’ preconditioner for the scattering problem. Zbl 1176.76060 Ben Belgacem, Faker; Gmati, Nabil; Jelassi, Faten 3 2009 Identifiability of surface sources from Cauchy data. Zbl 1177.35247 Ben Belgacem, F.; Jelassi, F. 2 2009 The Lavrentiev regularization of the data completion problem. Zbl 1153.35399 Ben Belgacem, F.; El Fekih, H.; Jelassi, F. 16 2008 Quadratic optimization in ill-posed problems. Zbl 1147.49021 Ben Belgacem, F.; Kaber, S-M 3 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 Why is the Cauchy problem severely ill-posed? Zbl 1118.35060 Ben Belgacem, Faker 59 2007 On Cauchy’s problem. II: Completion, regularization and approximation. Zbl 1113.35046 Azaïez, Mejdi; Ben Belgacem, Faker; El Fekih, Henda 38 2006 Numerical solution of Monge-Ampère equation. Zbl 1132.65105 Bouchiba, M.; Ben Belgacem, F. 2 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 On Cauchy’s problem. I: A variational Steklov-Poincaré theory. Zbl 1112.35054 Ben Belgacem, Faker; El Fekih, Henda 50 2005 On the Schwarz algorithms for the elliptic exterior boundary value problems. Zbl 1089.65126 Ben Belgacem, Faker; Fournié, Michel; Gmati, Nabil; Jelassi, Faten 7 2005 A mixed formulation for the Signorini problem in nearly incompressible elasticity. Zbl 1086.74037 Ben Belgacem, F.; Renard, Y.; Slimane, L. 5 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 2 2005 A stabilized domain decomposition method with nonmatching grids for the Stokes problem in three dimensions. Zbl 1159.76359 Ben Belgacem, Faker 11 2004 Mortaring the two-dimensional edge finite elements for the discretization of some electromagnetic models. Zbl 1100.78017 Ben Abdallah, Adnene; Ben Belgacem, Faker; Maday, Yvon; Rapetti, Francesca 8 2004 Hybrid finite element methods for the Signorini problem. Zbl 1023.74043 Ben Belgacem, F.; Renard, Y. 45 2003 Quadratic finite element approximation of the Signorini problem. Zbl 1112.74446 Belhachmi, Z.; Ben Belgacem, F. 23 2003 Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012 Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer 16 2003 A penalized Robin approach for solving a parabolic equation with nonsmooth Dirichlet boundary conditions. Zbl 1043.35014 Ben Belgacem, F.; El Fekih, H.; Raymond, J.-P. 14 2003 The \(hp\)-mortar finite-element method for the mixed elasticity and Stokes problems. Zbl 1221.65302 Ben Belgacem, F.; Chilton, L. K.; Seshaiyer, P. 10 2003 On handling the boundary conditions at infinity for some exterior problems by the alternating Schwarz method. (Sur le traitement des conditions aux limites à l’infini pour quelques problèmes extérieurs par la méthode de Schwarz alternée.) Zbl 1027.65161 Ben Belgacem, F.; Fournié, M.; Gmati, N.; Jelassi, F. 3 2003 On mixed methods for Signorini problems. Zbl 1073.35516 Ben Belgacem, Faker; Renard, Yves; Slimane, Leila 1 2003 Non-conforming \(hp\) finite element methods for Stokes problems. Zbl 1205.76074 Ben Belgacem, Faker; Chilton, Lawrence K.; Seshaiyer, Padmanabhan 1 2002 The mortar finite element method for 3D Maxwell equations: First results. Zbl 1001.65123 Ben Belgacem, F.; Buffa, A.; Maday, Y. 23 2001 Some nonstandard finite element estimates with applications to \(3D\) Poisson and Signorini problems. Zbl 0981.65131 Ben Belgacem, Faker; Brenner, Susanne C. 11 2001 Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element methods. Zbl 0974.74055 Ben Belgacem, F. 36 2000 The mixed mortar finite element method for the incompressible Stokes problem: Convergence analysis. Zbl 0959.65126 Ben Belgacem, Faker 18 2000 Optimal convergence rates of \(hp\) mortar finite element methods for second-order elliptic problems. Zbl 0956.65106 Ben Belgacem, Faker; Seshaiyer, Padmanabhan; Suri, Manil 14 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. 13 2000 Finite elements of order two for Signorini’s variational inequality. (Éléments finis d’ordre deux pour l’inéquation variationnelle de Signorini.) Zbl 0965.65093 Belhachmi, Zakaria; Ben Belgacem, Faker 1 2000 The mortar finite element method with Lagrange multipliers. Zbl 0944.65114 Ben Belgacem, Faker 199 1999 Extension of the mortar finite element method to a variational inequality modeling unilateral contact. Zbl 0940.74056 Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick 36 1999 Spectral element discretization of the Maxwell equations. Zbl 0932.65110 Ben Belgacem, F.; Bernardi, C. 18 1999 Coupling spectral and finite elements for second order elliptic three-dimensional equations. Zbl 0942.65132 Ben Belgacem, Faker; Maday, Yvon 8 1999 The mortar method for the Maxwell’s equations in 3D. Zbl 0941.65118 Ben Belgacem, Faker; Buffa, Annalisa; Maday, Yvon 3 1999 Numerical simulation of the wave equation with discontinuous coefficients by nonconforming finite elements. Zbl 0940.65104 Azaïez, M.; Ben Belgacem, F.; El Fekih, H.; Ismaïl, M. 3 1999 Finite element methods for unilateral contact problems. (Méthodes d’éléments finis pour des inéquations variationnelles de contact unilatéral.) Zbl 0944.74070 Ben Belgacem, Faker 1 1999 The mortar finite element method for contact problems. Zbl 1098.74682 Ben Belgacem, F.; Hild, P.; Laborde, P. 37 1998 Staggered grid hybrid-dual spectral element method for second-order elliptic problems. Application to high-order time splitting methods for Navier-Stokes equations. Zbl 0969.76066 Azaïez, M.; Ben Belgacem, F.; Grundmann, M.; Khallouf, H. 9 1998 Approximation of the wave and electromagnetic diffusion equations by spectral method. Zbl 0913.65118 Ben Belgacem, F.; Grundmann, M. 3 1998 The mortar element method for three dimensional finite elements. Zbl 0868.65082 Ben Belgacem, F.; Maday, Y. 70 1997 Approximation of the unilateral contact problem by the mortar finite element method. Zbl 0872.65057 Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick 22 1997 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 Remarks on the eigenvalues of the Laplace operator with different boundary conditions approximated by spectral method. (Remarques sur les valeurs propres de l’opérateur de Laplace avec différentes conditions aux limites approché par méthode spectrale.) Zbl 0845.47038 Ben Belgacem, Faker 1 1995 A spectral element methodology tuned to parallel implementations. Zbl 0841.65096 Ben Belgacem, F.; Maday, Y. 16 1994 Polynomial extensions of compatible polynomial traces in three dimensions. Zbl 0826.65097 Ben Belgacem, Faker 9 1994 Non-conforming spectral method for second order elliptic problems in 3D. Zbl 0835.65129 Ben Belgacem, F.; Maday, Y. 5 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,000 Authors 28 Ben Belgacem, Faker 27 Wohlmuth, Barbara I. 18 Bernardi, Christine 18 Hild, Patrick 15 Azaïez, Mejdi 11 Maday, Yvon 10 Chen, Jinru 10 Jelassi, Faten 10 Popp, Alexander 10 Renard, Yves 9 Dehghan Takht Fooladi, Mehdi 9 Laursen, Tod A. 9 Seshaiyer, Padmanabhan 8 Chacón Rebollo, Tomás 7 Bertoluzza, Silvia 7 Chouly, Franz 7 Gmati, Nabil 7 Gong, Wei 7 Liu, Chein-Shan 7 Wall, Wolfgang A. 6 Baranger, Thouraya Nouri 6 Buffa, Annalisa 6 Burman, Erik 6 Caubet, Fabien 6 Girault, Vivette 6 Gudi, Thirupathi 6 Le Tallec, Patrick 6 Münch, Arnaud 6 Nicaise, Serge 6 Park, Kwang-Chun 6 Patel, Ajit 6 Puso, Michael Anthony 6 Rapetti, Francesca 6 Wheeler, Mary Fanett 6 Yotov, Ivan 5 Acharya, Sanjib Kumar 5 Andrieux, Stéphane 5 Belhachmi, Zakaria 5 Ben Abda, Amel 5 Chorfi, Nejmeddine 5 Ciarlet, Patrick jun. 5 Dardé, Jérémi 5 Hamdi, Adel 5 Hansbo, Peter 5 Hauret, Patrice 5 Laborde, Patrick 5 Marin, Liviu 5 Nachaoui, Abdeljalil 5 Steinbach, Olaf 5 Vohralík, Martin 5 Wunderlich, Linus 5 Xu, Xuejun 5 Yan, Ningning 4 Abbaszadeh, Mostafa 4 Alduncin, Gonzalo 4 Chakib, Abdelkrim 4 Dabaghi, Jad 4 Deville, Michel O. 4 Dornisch, Wolfgang 4 Fernández-Cara, Enrique 4 Gee, Michael W. 4 Gong, Rongfang 4 Hu, Weiwei 4 Krause, Rolf H. 4 Larson, Mats G. 4 Li, Huiyuan 4 Li, Likang 4 Marcinkowski, Leszek 4 Melenk, Jens Markus 4 Nachaoui, Mourad 4 Porwal, Kamana 4 Quarteroni, Alfio M. 4 Rahman, Talal 4 Raymond, Jean-Pierre 4 Sabouri, Mania 4 Sau, Ramesh Chandra 4 Shi, Dongyang 4 Tur, Manuel 4 Wriggers, Peter 4 Youn, Sung-Kie 4 Zhang, Hongwu 4 Zou, Jun 3 Arfaoui, Hassen 3 Ben Gharbia, Ibtihel 3 Bourgeois, Laurent 3 Brivadis, Ericka 3 Bucataru, Mihai 3 Chen, Long 3 Debit, Naïma 3 Deparis, Simone 3 Drouet, Guillaume 3 Eguzkitza, Beatriz 3 Fang, Huangcheng 3 Felippa, Carlos A. 3 Franceschini, Andrea 3 Gervasio, Paola 3 Gosselet, Pierre 3 Guo, Ruchi 3 Han, Weimin 3 Hecht, Frédéric ...and 900 more Authors all top 5 Cited in 119 Serials 105 Computer Methods in Applied Mechanics and Engineering 31 Computers & Mathematics with Applications 26 International Journal for Numerical Methods in Engineering 25 Computational Mechanics 24 Journal of Computational Physics 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Applied Numerical Mathematics 22 Journal of Scientific Computing 21 Journal of Computational and Applied Mathematics 21 Numerische Mathematik 19 Mathematics of Computation 15 Comptes Rendus. 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Solids 1 Journal of Mathematical Study 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science ...and 19 more Serials all top 5 Cited in 34 Fields 479 Numerical analysis (65-XX) 283 Partial differential equations (35-XX) 222 Mechanics of deformable solids (74-XX) 108 Fluid mechanics (76-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 35 Optics, electromagnetic theory (78-XX) 23 Systems theory; control (93-XX) 14 Classical thermodynamics, heat transfer (80-XX) 9 Operations research, mathematical programming (90-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 Geophysics (86-XX) 7 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Citations by Year