M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics Short Title: M2AN, Math. Model. Numer. Anal. Parallel Title: M2AN. Modélisation Mathématique et Analyse Numérique Publisher: EDP Sciences, Les Ulis; Société de Mathématiques Appliquées et Industrielles (SMAI), Paris ISSN: 0764-583X; 1290-3841/e Online: http://www.edpsciences.org/m2an/http://www.numdam.org/numdam-bin/browse?sl=0&j=M2AN Predecessor: RAIRO. Modélisation Mathématique et Analyse Numérique Successor: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis Comments: No longer indexed Documents Indexed: 347 Publications (1999–2004) References Indexed: 279 Publications with 6,333 References. all top 5 Latest Issues 38, No. 6 (2004) 38, No. 5 (2004) 38, No. 4 (2004) 38, No. 3 (2004) 38, No. 2 (2004) 38, No. 1 (2004) 37, No. 6 (2003) 37, No. 5 (2003) 37, No. 4 (2003) 37, No. 3 (2003) 37, No. 2 (2003) 37, No. 1 (2003) 36, No. 6 (2002) 36, No. 5 (2002) 36, No. 4 (2002) 36, No. 3 (2002) 36, No. 2 (2002) 36, No. 1 (2002) 35, No. 6 (2001) 35, No. 5 (2001) 35, No. 4 (2001) 35, No. 3 (2001) 35, No. 2 (2001) 35, No. 1 (2001) 34, No. 6 (2000) 34, No. 5 (2000) 34, No. 4 (2000) 34, No. 3 (2000) 34, No. 2 (2000) 34, No. 1 (2000) 33, No. 6 (1999) 33, No. 5 (1999) 33, No. 4 (1999) 33, No. 3 (1999) 33, No. 2 (1999) 33, No. 1 (1999) all top 5 Authors 5 Guermond, Jean-Luc 5 Maday, Yvon 5 Nicaise, Serge 4 Bernardi, Christine 4 Chacón Rebollo, Tomás 4 Kurganov, Alexander 4 Schwab, Christoph 3 Agouzal, Abdellatif 3 Bal, Guillaume 3 Barrett, John W. 3 Benedetto, Dario 3 Besse, Christophe 3 Carstensen, Carsten 3 Chainais-Hillairet, Claire 3 Coudière, Yves 3 Dauge, Monique 3 Gallouët, Thierry 3 Grenier, Emmanuel 3 Hansbo, Peter 3 Jin, Shi 3 Luskin, Mitchell 3 Prohl, Andreas 3 Rappaz, Jacques 3 Rodríguez, Rodolfo 3 Verfürth, Rüdiger 3 Vogelius, Michael S. 3 Wohlmuth, Barbara I. 2 Achdou, Yves 2 Apel, Thomas 2 Barrientos, Mauricio A. 2 Bělík, Pavel 2 Ben Belgacem, Faker 2 Benamou, Jean-David 2 Bermúdez, Alfredo 2 Bhattacharyya, Pulin Kumar 2 Bidégaray-Fesquet, Brigitte 2 Blowey, James F. 2 Boillat, Eric 2 Caglioti, Emanuele 2 Capdeboscq, Yves 2 Castella, François 2 Castro, Manuel J. 2 Chambolle, Antonin 2 Chen, Lansun 2 Chen, Zhiming 2 Collino, Francis 2 Costabel, Martin 2 Deckelnick, Klaus 2 Degond, Pierre 2 Domínguez Delgado, Antonio 2 Eymard, Robert 2 Feng, Xiaobing 2 Fernández-Nieto, Enrique Domingo 2 Gagneux, Gérard 2 Gatica, Gabriel N. 2 Gegechkori, Zurab 2 Gerbeau, Jean-Frédéric 2 Girault, Vivette 2 Golse, François 2 Guo, Ben-Yu 2 Hecht, Frédéric 2 Herbin, Raphaèle 2 Hild, Patrick 2 Hintermüller, Michael 2 Ito, Kazufumi 2 Jaoua, Mohamed 2 Joly, Patrick 2 Jüngel, Ansgar 2 Kacur, Jozef 2 Karageorghis, Andreas 2 Kinderlehrer, David 2 Kunert, Gerd 2 Kunisch, Karl 2 Larson, Mats G. 2 Le Tallec, Patrick 2 Levy, Doron 2 Lewandowski, Roger 2 Lions, Jacques-Louis 2 Makridakis, Charalambos G. 2 Marion, Martine 2 Masson, Roland 2 Matache, Ana-Maria 2 Mohammadi, Bijan 2 Nataraj, Neela 2 Nochetto, Ricardo Horacio 2 Paquet, Luc 2 Parés Madroñal, Carlos 2 Peng, Yuejun 2 Petrova, Guergana 2 Prud’homme, Christophe 2 Pulvirenti, Mario 2 Quarteroni, Alfio M. 2 Rogava, Jemal L. 2 Sändig, Anna-Margarete 2 Schatzman, Michelle 2 Schmidt, Alfred 2 Tang, Sanyi 2 Toscani, Giuseppe 2 Tsiklauri, Mikheil 2 Van Keer, Roger ...and 480 more Authors all top 5 Fields 218 Numerical analysis (65-XX) 198 Partial differential equations (35-XX) 104 Fluid mechanics (76-XX) 52 Mechanics of deformable solids (74-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 28 Optics, electromagnetic theory (78-XX) 26 Statistical mechanics, structure of matter (82-XX) 18 Computer science (68-XX) 16 Classical thermodynamics, heat transfer (80-XX) 16 Biology and other natural sciences (92-XX) 11 Ordinary differential equations (34-XX) 10 Geophysics (86-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 6 Quantum theory (81-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 3 Potential theory (31-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 316 Publications have been cited 4,962 times in 4,421 Documents Cited by ▼ Year ▼ Central WENO schemes for hyperbolic systems of conservation laws. Zbl 0938.65110Levy, Doron; Puppo, Gabriella; Russo, Giovanni 157 1999 Stabilization of Galerkin approximations of transport equations by subgrid modeling. Zbl 0946.65112Guermond, Jean-Luc 124 1999 Singularities of Maxwell interface problems. Zbl 0937.78003Costabel, Martin; Dauge, Monique; Nicaise, Serge 118 1999 Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398Kurganov, Alexander; Levy, Doron 117 2002 A finite element method for domain decomposition with non-matching grids. Zbl 1047.65099Becker, Roland; Hansbo, Peter; Stenberg, Rolf 100 2003 Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem. Zbl 0937.65116Coudière, Yves; Vila, Jean-Paul; Villedieu, Philippe 98 1999 On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325Parés, Carlos; Castro, Manuel 91 2004 Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu 89 1999 A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Zbl 1070.74047Gerbeau, Jean-Frédéric; Vidrascu, Marina 88 2003 Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 83 2000 A steady-state capturing method for hyperbolic systems with geometrical source terms. Zbl 1001.35083Jin, Shi 74 2001 On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 0998.65067Barles, Guy; Jakobsen, Espen Robstad 72 2002 Fluids with anisotropic viscosity. Zbl 0954.76012Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 70 2000 Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032Girault, Vivette; Lions, Jacques-Louis 68 2001 Quasi-interpolation and a posteriori error analysis in finite element methods. Zbl 0948.65113Carstensen, Carsten 67 1999 Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002Glowinski, Roland; Rappaz, Jacques 65 2003 Boundary observability for the space semi-discretizations of the 1-D wave equation. Zbl 0947.65101Infante, Juan Antonio; Zuazua, Enrique 63 1999 Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity. Zbl 1137.65431Hansbo, Peter; Larson, Mats G. 61 2003 A \(Q\)-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system. Zbl 1094.76046Castro, Manuel; Macías, Jorge; Parés, Carlos 58 2001 Existence for an unsteady fluid-structure interaction problem. Zbl 0969.76017Grandmont, Céline; Maday, Yvon 57 2000 One-dimensional kinetic models of granular flows. Zbl 0981.76098Toscani, Giuseppe 55 2000 Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. Zbl 0971.78004Vogelius, Michael S.; Volkov, Darko 54 2000 A finite element method on composite grids based on Nitsche’s method. Zbl 1031.65128Hansbo, Anita; Hansbo, Peter; Larson, Mats G. 54 2003 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 52 2003 A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred 48 2004 Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007Ito, Kazufumi; Kunisch, Karl 48 2003 Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095von Petersdorff, Tobias; Schwab, Christoph 47 2004 Finite volume methods for elliptic PDE’s: a new approach. Zbl 1041.65087Chatzipantelidis, Panagiotis 47 2002 Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph 46 2004 Structural properties of solutions to total variation regularization problems. Zbl 1018.49021Ring, Wolfgang 43 2000 Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. Zbl 1065.92006Marrocco, Americo 43 2003 A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Zbl 1137.35346Capdeboscq, Yves; Vogelius, Michael S. 43 2003 On the discretization in time of parabolic stochastic partial differential equations. Zbl 0991.60051Printems, Jacques 43 2001 On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032Bécache, Eliane; Joly, Patrick 43 2002 Error estimates for some quasi-interpolation operators. Zbl 0938.65125Verfürth, Rüdiger 39 1999 Finite-differences discretizations of the Mumford-Shah functional. Zbl 0947.65076Chambolle, Antonin 37 1999 Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. Zbl 1032.82038Chainais-Hillairet, Claire; Liu, Jian-Guo; Peng, Yue-Jun 36 2003 A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. Zbl 0992.65100Ohlberger, Mario 36 2001 Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. Zbl 1118.74315Deparis, Simone; Fernández, Miguel Angel; Formaggia, Luca 35 2003 On fully practical finite element approximations of degenerate Cahn-Hilliard systems. Zbl 0987.35071Barrett, John W.; Blowey, James F.; Garcke, Harald 33 2001 Singularities of eddy current problems. Zbl 1170.35353Costabel, Martin; Dauge, Monique; Nicaise, Serge 32 2003 Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. Zbl 1032.76048Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 32 2001 Discrete approximation of the Mumford-Shah functional in dimension two. Zbl 0943.49011Chambolle, Antonin; Dal Maso, Gianni 29 1999 A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa 29 2004 Existence results for unilateral quasistatic contact problems with friction and adhesion. Zbl 0984.74054Cocu, Marius; Rocca, Rémi 28 2000 Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031Düring, Bertram; Fournié, Michel; Jüngel, Ansgar 28 2004 A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042Bernardi, Christine; Verfürth, Rüdiger 28 2004 Hermite pseudospectral method for nonlinear partial differential equations. Zbl 0966.65072Guo, Benyu; Xu, Chenglong 27 2000 Image segmentation with a finite element method. Zbl 0947.65075Bourdin, Blaise 26 1999 A note on polynomial approximation in Sobolev spaces. Zbl 0936.41006Verfürth, Rüdiger 26 1999 A result on second order convergence in time for the approximation of the Navier-Stokes equations by an incremental projection technique. (Un résultat de convergence d’ordre deux en temps pour l’approximation des équations de Navier-Stokes par une technique de projection incrémentale.) Zbl 0921.76123Guermond, Jean-Luc 26 1999 Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle 26 2001 On the derivation of homogeneous hydrostatic equations. Zbl 0947.76013Grenier, Emmanuel 25 1999 Homogenization of a monotone problem in a domain with oscillating boundary. Zbl 0942.35071Blanchard, Dominique; Carbone, Luciano; Gaudiello, Antonio 25 1999 On the convergence of SCF algorithms for the Hartree-Fock equations. Zbl 1090.65548Cancès, Eric; Le Bris, Claude 25 2000 Entropic approximation in kinetic theory. Zbl 1084.82010Schneider, Jacques 25 2004 On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation. Zbl 0991.65088Zouraris, Georgios E. 25 2001 About stability of equilibrium shapes. Zbl 0966.49023Dambrine, Marc; Pierre, Michel 24 2000 Some new results in multiphase geometrical optics. Zbl 0972.78001Runborg, Olof 24 2000 Two-scale FEM for homogenization problems. Zbl 1070.65572Matache, Ana-Maria; Schwab, Christoph 24 2002 Galerkin time-stepping methods for nonlinear parabolic equations. Zbl 1085.65094Akrivis, Georgios; Makridakis, Charalambos 23 2004 Analysis of total variation flow and its finite element approximations. Zbl 1050.35004Feng, Xiaobing; Prohl, Andreas 23 2003 Homogenization of the criticality spectral equation in neutron transport. Zbl 0931.35010Allaire, Grégoire; Bal, Guillaume 22 1999 Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate. Zbl 0921.65071Chainais-Hillairet, Claire 22 1999 Mixed methods for the approximation of liquid crystal flows. Zbl 1032.76035Liu, Chun; Walkington, Noel J. 22 2002 On the domain geometry dependence of the LBB condition. Zbl 1006.76052Chizhonkov, Evgenij V.; Olshanskij, Maxim A. 21 2000 Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121Kinderlehrer, David; Walkington, Noel J. 21 1999 Concepts – an object-oriented software package for partial differential equations. Zbl 1032.65128Frauenfelder, Philipp; Lage, Christian 21 2002 Crack detection using electrostatic measurements. Zbl 0985.35103Brühl, Martin; Hanke, Martin; Pidcock, Michael 21 2001 The effect of reduced integration in the Steklov eigenvalue problem. Zbl 1077.65115Armentano, María G. 20 2004 A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. Zbl 1031.78012Meddahi, Salim; Selgas, Virginia 20 2003 Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes. Zbl 0972.65081Coudière, Yves; Villedieu, Philippe 19 2000 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 19 2004 The blocking of an inhomogeneous Bingham fluid. Applications to landslides. Zbl 1057.76004Hild, Patrick; Ionescu, Ioan R.; Lachand-Robert, Thomas; Roşca, Ioan 19 2002 An active set strategy based on the augmented Lagrangian formulation for image restoration. Zbl 0918.65050Ito, Kazufumi; Kunisch, Karl 18 1999 Transport of pollutant in shallow water - a two time steps kinetic method. Zbl 1137.65392Audusse, Emmanuel; Bristeau, Marie-Odile 18 2003 Hermite interpolants obtained by subdivision. (Interpolants d’Hermite \(C^2\) obtenus par subdivision.) Zbl 0920.65002Merrien, Jean-Louis 17 1999 A mechanochemical model of angiogenesis and vasculogenesis. Zbl 1080.92012Manoussaki, Daphne 17 2003 A new two-dimensional shallow water model including pressure effects and slow varying bottom topography. Zbl 1130.76329Ferrari, Stefania; Saleri, Fausto 17 2004 Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization. Zbl 0978.65054Hintermüller, Michael 16 2001 Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer 16 2003 Numerical resolution of an “unbalanced” mass transport problem. Zbl 1037.65063Benamou, Jean-David 16 2003 A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125Golse, François; Jin, Shi; Levermore, C. David 16 2003 Convergent semidiscretization of a nonlinear fourth order parabolic system. Zbl 1026.35045Jüngel, Ansgar; Pinnau, René 16 2003 Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. Zbl 1137.35347Capdeboscq, Yves; Vogelius, Michael S. 16 2003 A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines. Zbl 0986.35111Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca 16 2001 Relaxation schemes for the multicomponent Euler system. Zbl 1070.76037Dellacherie, Stéphane 15 2003 A posteriori error estimates with post-processing for nonconforming finite elements. Zbl 1041.65083Schieweck, Friedhelm 15 2002 Coupling of transport and diffusion models in linear transport theory. Zbl 0995.45008Bal, Guillaume; Maday, Yvon 15 2002 Optimal convergence rates of \(hp\) mortar finite element methods for second-order elliptic problems. Zbl 0956.65106Ben Belgacem, Faker; Seshaiyer, Padmanabhan; Suri, Manil 14 2000 Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems. Zbl 0962.35152Ben Youssef, Walid; Colin, Thierry 14 2000 Finite volume box schemes and mixed methods. Zbl 0966.65082Croisille, Jean-Pierre 14 2000 On the distribution of free path lengths for the periodic Lorentz gas. II. Zbl 1006.82025Golse, François; Wennberg, Bernt 14 2000 Central schemes and contact discontinuities. Zbl 0972.65055Kurganov, Alexander; Petrova, Guergana 14 2000 A strongly nonlinear problem arising in glaciology. Zbl 0946.65115Colinge, Jacques; Rappaz, Jacques 14 1999 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 14 2004 Diffusion limit of the Lorentz model: asymptotic preserving schemes. Zbl 1062.82050Buet, Christophe; Cordier, Stéphane; Lucquin-Desreux, Brigitte; Mancini, Simona 14 2002 A comparison of dual Lagrange multiplier spaces for mortar finite element discretizations. Zbl 1024.65111Wohlmuth, Barbara I. 14 2002 Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes. Zbl 1137.65426Apel, Thomas; Sändig, Anna-Margarete; Solov’ev, Sergey I. 14 2002 The mortar method in the wavelet context. Zbl 0995.65131Bertoluzza, Silvia; Perrier, Valérie 14 2001 On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325Parés, Carlos; Castro, Manuel 91 2004 A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred 48 2004 Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095von Petersdorff, Tobias; Schwab, Christoph 47 2004 Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph 46 2004 A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa 29 2004 Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031Düring, Bertram; Fournié, Michel; Jüngel, Ansgar 28 2004 A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042Bernardi, Christine; Verfürth, Rüdiger 28 2004 Entropic approximation in kinetic theory. Zbl 1084.82010Schneider, Jacques 25 2004 Galerkin time-stepping methods for nonlinear parabolic equations. Zbl 1085.65094Akrivis, Georgios; Makridakis, Charalambos 23 2004 The effect of reduced integration in the Steklov eigenvalue problem. Zbl 1077.65115Armentano, María G. 20 2004 Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 19 2004 A new two-dimensional shallow water model including pressure effects and slow varying bottom topography. Zbl 1130.76329Ferrari, Stefania; Saleri, Fausto 17 2004 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 14 2004 Mixed finite element approximation of 3D contact problems with given friction: error analysis and numerical realization. Zbl 1080.74046Haslinger, Jaroslav; Sassi, Taoufik 13 2004 Analysis of lumped parameter models for blood flow simulations and their relation with 1D models. Zbl 1079.76053Milišić, Vuk; Quarteroni, Alfio 13 2004 Numerical study of the Davey-Stewartson system. Zbl 1080.65095Besse, Christophe; Mauser, Norbert J.; Stimming, Hans Peter 13 2004 Error of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1076.76054Emmrich, Etienne 12 2004 Finite volume schemes for the \(p\)-Laplacian on Cartesian meshes. Zbl 1081.65105Andreianov, Boris; Boyer, Franck; Hubert, Florence 12 2004 On a hybrid finite-volume-particle method. Zbl 1077.65091Chertock, Alina; Kurganov, Alexander 12 2004 New integral formulations for wave diffraction problems. (Nouvelles formulations intégrales pour les problèmes de diffraction d’ondes.) Zbl 1130.35326Levadoux, David P.; Michielsen, Bastiaan L. 10 2004 Error estimates in the fast multipole method for scattering problems. I. Truncation of the Jacobi-Anger series. Zbl 1077.41027Carayol, Quentin; Collino, Francis 10 2004 Residual and hierarchical a posteriori error estimates for nonconforming mixed finite element methods. Zbl 1077.65113El Alaoui, Linda; Ern, Alexandre 10 2004 Dynamical behavior of Volterra model with mutual interference concerning IPM. Zbl 1081.34042Zhang, Yujuan; Liu, Bing; Chen, Lansun 8 2004 Young-measure approximations for elastodynamics with non-monotone stress-strain relations. Zbl 1130.74383Carstensen, Carsten; Rieger, Marc Oliver 8 2004 The correct use of the Lax-Friedrichs method. Zbl 1077.65089Breuss, Michael 8 2004 Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle. Zbl 1080.74036Copetti, Maria I. M. 8 2004 Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058Bartels, Sören 8 2004 Transport in a molecular motor system. Zbl 1077.35060Chipot, Michel; Hastings, Stuart; Kinderlehrer, David 8 2004 On the modeling of the transport of particles in turbulent flows. Zbl 1079.76037Goudon, Thierry; Poupaud, Frédéric 6 2004 Mixed formulations for a class of variational inequalities. Zbl 1100.65059Slimane, Leila; Bendali, Abderrahmane; Laborde, Patrick 5 2004 A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP. Zbl 1081.81127Besse, Christophe; Bidégaray-Fesquet, Brigitte; Bourgeade, Antoine; Degond, Pierre; Saut, Olivier 5 2004 Mathematical and numerical analysis of a stratigraphic model. Zbl 1130.86315Gervais, Véronique; Masson, Roland 5 2004 The fourth order accuracy decomposition scheme for an evolution problem. Zbl 1077.65101Gegechkori, Zurab; Rogava, Jemal; Tsiklauri, Mikheil 5 2004 A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D. Zbl 1105.65352Lamichhane, Bishnu P.; Wohlmuth, Barbara I. 4 2004 Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo 4 2004 Finite element approximation of a Stefan problem with degenerate Joule heating. Zbl 1072.80010Barrett, John W.; Nürnberg, Robert 4 2004 An asymptotically optimal model for isotropic heterogeneous linearly elastic plates. Zbl 1130.74403Auricchio, Ferdinando; Lovadina, Carlo; Madureira, Alexandre L. 4 2004 Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106Feng, Xiaobing; Prohl, Andreas 3 2004 A note on \((2K+1)\)-point conservative monotone schemes. Zbl 1075.65113Tang, Huazhong; Warnecke, Gerald 3 2004 Finite element approximations of a glaciology problem. Zbl 1130.86300Chow, Sum S.; Carey, Graham F.; Anderson, Michael L. 3 2004 A new formulation of the Stokes problem in a cylinder, and its spectral discretization. Zbl 1079.76055Abdellatif, Nehla; Bernardi, Christine 3 2004 Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme. Zbl 1078.60075Cocozza-Thivent, Christiane; Eymard, Robert 3 2004 Stick-slip transition capturing by using an adaptive finite element method. Zbl 1130.76368Roquet, Nicolas; Saramito, Pierre 2 2004 Time splitting for wave equations in random media. Zbl 1130.74393Bal, Guillaume; Ryzhik, Lenya 2 2004 On the connection between some Riemann-solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws. Zbl 1083.35063Kröger, Tim; Noelle, Sebastian; Zimmermann, Susanne 2 2004 The existence of a solution and a numerical method for the Timoshenko nonlinear wave system. Zbl 1080.35159Peradze, Jemal 1 2004 Raman laser: mathematical and numerical analysis of a model. Zbl 1078.78012Castella, François; Chartier, Philippe; Faou, Erwan; Bayart, Dominique; Leplingard, Florence; Martinelli, Catherine 1 2004 Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem. Zbl 1077.74054Barrientos, Mauricio A.; Gatica, Gabriel N.; Rodríguez, Rodolfo; Torrejón, Marcela E. 1 2004 Analysis of two-level domain decomposition preconditioners based on aggregation. Zbl 1078.65120Sala, Marzio 1 2004 Approximation of the vibration modes of a plate coupled with a fluid by low-order isoparametric finite elements. Zbl 1130.74453Hernández, Erwin 1 2004 A finite element method for domain decomposition with non-matching grids. Zbl 1047.65099Becker, Roland; Hansbo, Peter; Stenberg, Rolf 100 2003 A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Zbl 1070.74047Gerbeau, Jean-Frédéric; Vidrascu, Marina 88 2003 Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002Glowinski, Roland; Rappaz, Jacques 65 2003 Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity. Zbl 1137.65431Hansbo, Peter; Larson, Mats G. 61 2003 A finite element method on composite grids based on Nitsche’s method. Zbl 1031.65128Hansbo, Anita; Hansbo, Peter; Larson, Mats G. 54 2003 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 52 2003 Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007Ito, Kazufumi; Kunisch, Karl 48 2003 Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. Zbl 1065.92006Marrocco, Americo 43 2003 A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Zbl 1137.35346Capdeboscq, Yves; Vogelius, Michael S. 43 2003 Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. Zbl 1032.82038Chainais-Hillairet, Claire; Liu, Jian-Guo; Peng, Yue-Jun 36 2003 Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. Zbl 1118.74315Deparis, Simone; Fernández, Miguel Angel; Formaggia, Luca 35 2003 Singularities of eddy current problems. Zbl 1170.35353Costabel, Martin; Dauge, Monique; Nicaise, Serge 32 2003 Analysis of total variation flow and its finite element approximations. Zbl 1050.35004Feng, Xiaobing; Prohl, Andreas 23 2003 A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. Zbl 1031.78012Meddahi, Salim; Selgas, Virginia 20 2003 Transport of pollutant in shallow water - a two time steps kinetic method. Zbl 1137.65392Audusse, Emmanuel; Bristeau, Marie-Odile 18 2003 A mechanochemical model of angiogenesis and vasculogenesis. Zbl 1080.92012Manoussaki, Daphne 17 2003 Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer 16 2003 Numerical resolution of an “unbalanced” mass transport problem. Zbl 1037.65063Benamou, Jean-David 16 2003 A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125Golse, François; Jin, Shi; Levermore, C. David 16 2003 Convergent semidiscretization of a nonlinear fourth order parabolic system. 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Zbl 1137.65398Kurganov, Alexander; Levy, Doron 117 2002 ...and 216 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,328 Authors 37 Kurganov, Alexander 36 Burman, Erik 33 Nicaise, Serge 32 Parés Madroñal, Carlos 29 Carstensen, Carsten 28 Hansbo, Peter 28 Qiu, Jianxian 28 Shi, Dongyang 28 Shu, Chi-Wang 27 Castro, Manuel J. 24 Fernández-Nieto, Enrique Domingo 23 Cancès, Clément 23 Carrillo de la Plata, José Antonio 23 Girault, Vivette 22 Ammari, Habib M. 22 Eymard, Robert 22 Larson, Mats G. 22 Zhu, Jun 21 Chacón Rebollo, Tomás 21 Schwab, Christoph 19 Bernardi, Christine 19 He, Yinnian 18 Chertock, Alina E. 18 Guermond, Jean-Luc 18 Kang, Hyeonbae 18 Vohralík, Martin 17 Dumbser, Michael 17 Li, Jichun 17 Takahashi, Takéo 16 Berthon, Christophe 16 Castro-Díaz, Manuel Jesús 16 Droniou, Jérôme 16 Henning, Patrick 16 Hiptmair, Ralf 16 John, Volker 16 Karlsen, Kenneth Hvistendahl 16 Nochetto, Ricardo Horacio 16 Perthame, Benoît 16 Rodríguez, Rodolfo 15 Bartels, Sören 15 Ern, Alexandre 15 Gallouët, Thierry 15 Huang, Yunqing 15 Ohlberger, Mario 15 Quarteroni, Alfio M. 15 Sheen, Dongwoo 15 Shen, Jie 14 Chainais-Hillairet, Claire 14 Gaudiello, Antonio 14 Guillén González, Francisco M. 14 Jin, Shi 14 Manzini, Gianmarco 13 Di Pietro, Daniele Antonio 13 Fernández, Miguel Ángel 13 Morales de Luna, Tomás 13 Saad, Mazen 12 Bürger, Raimund 12 Goudon, Thierry 12 Herbin, Raphaèle 12 Jakobsen, Espen Robstad 12 Temam, Roger Meyer 12 Wu, Jiming 12 Xing, Yulong 11 Becker, Roland 11 Cai, Li 11 Company, Rafael 11 Gosse, Laurent 11 Khelifi, Abdessatar 11 Picasso, Marco 11 Schmidt, Kersten 11 Wohlmuth, Barbara I. 11 Yang, Xiaofeng 11 Zou, Jun 11 Zuazua, Enrique 10 Benamou, Jean-David 10 Bouchut, François 10 Chen, Shaochun 10 Ciarlet, Patrick jun. 10 Duan, Huoyuan 10 Feng, Jianhu 10 Goreac, Dan 10 Guan, Hongbo 10 Hecht, Frédéric 10 Hintermüller, Michael 10 Hou, Yanren 10 Jódar Sanchez, Lucas Antonio 10 Karageorghis, Andreas 10 Kunisch, Karl 10 Makridakis, Charalambos G. 10 Mao, Shipeng 10 Paicu, Marius 10 Pareschi, Lorenzo 10 Peterseim, Daniel 10 Reisinger, Christoph 10 Ruiz-Baier, Ricardo 10 Sainte-Marie, Jacques 10 Salgado, Abner J. 10 Schötzau, Dominik 10 Shang, Yueqiang 10 Solov’ëv, Sergeĭ Ivanovich ...and 5,228 more Authors all top 5 Cited in 375 Journals 312 Journal of Computational Physics 244 Computer Methods in Applied Mechanics and Engineering 182 Journal of Scientific Computing 162 Numerische Mathematik 148 Journal of Computational and Applied Mathematics 148 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 144 Mathematics of Computation 135 Applied Numerical Mathematics 124 Computers & Mathematics with Applications 101 M\(^3\)AS. 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Scienze Matematiche 7 Journal of the Mechanics and Physics of Solids 7 Nonlinearity 7 Wave Motion ...and 275 more Journals all top 5 Cited in 50 Fields 2,666 Numerical analysis (65-XX) 2,151 Partial differential equations (35-XX) 1,477 Fluid mechanics (76-XX) 631 Mechanics of deformable solids (74-XX) 404 Calculus of variations and optimal control; optimization (49-XX) 350 Optics, electromagnetic theory (78-XX) 234 Statistical mechanics, structure of matter (82-XX) 215 Biology and other natural sciences (92-XX) 155 Probability theory and stochastic processes (60-XX) 138 Systems theory; control (93-XX) 119 Geophysics (86-XX) 113 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 93 Ordinary differential equations (34-XX) 85 Information and communication theory, circuits (94-XX) 83 Operator theory (47-XX) 83 Computer science (68-XX) 81 Operations research, mathematical programming (90-XX) 66 Integral equations (45-XX) 63 Classical thermodynamics, heat transfer (80-XX) 42 Dynamical systems and ergodic theory (37-XX) 42 Quantum theory (81-XX) 36 Approximations and expansions (41-XX) 30 Functional analysis (46-XX) 28 Real functions (26-XX) 27 Global analysis, analysis on manifolds (58-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 17 Mechanics of particles and systems (70-XX) 13 Differential geometry (53-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Special functions (33-XX) 11 Difference and functional equations (39-XX) 9 Potential theory (31-XX) 9 Statistics (62-XX) 8 Integral transforms, operational calculus (44-XX) 7 Astronomy and astrophysics (85-XX) 6 Functions of a complex variable (30-XX) 6 Relativity and gravitational theory (83-XX) 5 Measure and integration (28-XX) 5 Convex and discrete geometry (52-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 3 Manifolds and cell complexes (57-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Citations by Year