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## 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.
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#### 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)
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#### 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 479 more Authors
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#### 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)

#### Citations contained in zbMATH Open

314 Publications have been cited 4,631 times in 4,116 Documents Cited by Year
Central WENO schemes for hyperbolic systems of conservation laws. Zbl 0938.65110
Levy, Doron; Puppo, Gabriella; Russo, Giovanni
1999
Stabilization of Galerkin approximations of transport equations by subgrid modeling. Zbl 0946.65112
Guermond, Jean-Luc
1999
Singularities of Maxwell interface problems. Zbl 0937.78003
Costabel, Martin; Dauge, Monique; Nicaise, Serge
1999
Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398
Kurganov, Alexander; Levy, Doron
2002
A finite element method for domain decomposition with non-matching grids. Zbl 1047.65099
Becker, Roland; Hansbo, Peter; Stenberg, Rolf
2003
Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem. Zbl 0937.65116
Coudière, Yves; Vila, Jean-Paul; Villedieu, Philippe
1999
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu
1999
A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Zbl 1070.74047
Gerbeau, Jean-Frédéric; Vidrascu, Marina
2003
On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325
Parés, Carlos; Castro, Manuel
2004
Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113
Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara
2000
A steady-state capturing method for hyperbolic systems with geometrical source terms. Zbl 1001.35083
Jin, Shi
2001
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 0998.65067
2002
Fluids with anisotropic viscosity. Zbl 0954.76012
Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel
2000
Quasi-interpolation and a posteriori error analysis in finite element methods. Zbl 0948.65113
Carstensen, Carsten
1999
Two-grid finite element schemes for the transient Navier-Stokes problem. Zbl 1032.76032
Girault, Vivette; Lions, Jacques-Louis
2001
Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002
Glowinski, Roland; Rappaz, Jacques
2003
Boundary observability for the space semi-discretizations of the 1-D wave equation. Zbl 0947.65101
Infante, Juan Antonio; Zuazua, Enrique
1999
Existence for an unsteady fluid-structure interaction problem. Zbl 0969.76017
2000
One-dimensional kinetic models of granular flows. Zbl 0981.76098
Toscani, Giuseppe
2000
Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity. Zbl 1137.65431
Hansbo, Peter; Larson, Mats G.
2003
A finite element method on composite grids based on Nitsche’s method. Zbl 1031.65128
Hansbo, Anita; Hansbo, Peter; Larson, Mats G.
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 1094.76046
Castro, Manuel; Macías, Jorge; Parés, Carlos
2001
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. Zbl 0971.78004
Vogelius, Michael S.; Volkov, Darko
2000
Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007
Ito, Kazufumi; Kunisch, Karl
2003
Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095
von Petersdorff, Tobias; Schwab, Christoph
2004
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony
2003
Structural properties of solutions to total variation regularization problems. Zbl 1018.49021
Ring, Wolfgang
2000
Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052
Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph
2004
A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117
Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred
2004
On the discretization in time of parabolic stochastic partial differential equations. Zbl 0991.60051
Printems, Jacques
2001
On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032
Bécache, Eliane; Joly, Patrick
2002
Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. Zbl 1065.92006
Marrocco, Americo
2003
Finite volume methods for elliptic PDE’s: a new approach. Zbl 1041.65087
Chatzipantelidis, Panagiotis
2002
A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Zbl 1137.35346
Capdeboscq, Yves; Vogelius, Michael S.
2003
A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. Zbl 0992.65100
Ohlberger, Mario
2001
Error estimates for some quasi-interpolation operators. Zbl 0938.65125
Verfürth, Rüdiger
1999
Finite-differences discretizations of the Mumford-Shah functional. Zbl 0947.65076
Chambolle, Antonin
1999
Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. Zbl 1118.74315
Deparis, Simone; Fernández, Miguel Angel; Formaggia, Luca
2003
Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. Zbl 1032.76048
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
2001
On fully practical finite element approximations of degenerate Cahn-Hilliard systems. Zbl 0987.35071
Barrett, John W.; Blowey, James F.; Garcke, Harald
2001
Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. Zbl 1032.82038
Chainais-Hillairet, Claire; Liu, Jian-Guo; Peng, Yue-Jun
2003
Singularities of eddy current problems. Zbl 1170.35353
Costabel, Martin; Dauge, Monique; Nicaise, Serge
2003
Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031
Düring, Bertram; Fournié, Michel; Jüngel, Ansgar
2004
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
2004
Hermite pseudospectral method for nonlinear partial differential equations. Zbl 0966.65072
Guo, Benyu; Xu, Chenglong
2000
Existence results for unilateral quasistatic contact problems with friction and adhesion. Zbl 0984.74054
Cocu, Marius; Rocca, Rémi
2000
A note on polynomial approximation in Sobolev spaces. Zbl 0936.41006
Verfürth, Rüdiger
1999
Image segmentation with a finite element method. Zbl 0947.65075
Bourdin, Blaise
1999
Discrete Sobolev inequalities and $$L^p$$ error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122
Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle
2001
Some new results in multiphase geometrical optics. Zbl 0972.78001
Runborg, Olof
2000
Homogenization of a monotone problem in a domain with oscillating boundary. Zbl 0942.35071
Blanchard, Dominique; Carbone, Luciano; Gaudiello, Antonio
1999
A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042
Bernardi, Christine; Verfürth, Rüdiger
2004
Two-scale FEM for homogenization problems. Zbl 1070.65572
Matache, Ana-Maria; Schwab, Christoph
2002
Discrete approximation of the Mumford-Shah functional in dimension two. Zbl 0943.49011
Chambolle, Antonin; Dal Maso, Gianni
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 0921.76123
Guermond, Jean-Luc
1999
On the derivation of homogeneous hydrostatic equations. Zbl 0947.76013
Grenier, Emmanuel
1999
About stability of equilibrium shapes. Zbl 0966.49023
Dambrine, Marc; Pierre, Michel
2000
Analysis of total variation flow and its finite element approximations. Zbl 1050.35004
Feng, Xiaobing; Prohl, Andreas
2003
Galerkin time-stepping methods for nonlinear parabolic equations. Zbl 1085.65094
Akrivis, Georgios; Makridakis, Charalambos
2004
Homogenization of the criticality spectral equation in neutron transport. Zbl 0931.35010
Allaire, Grégoire; Bal, Guillaume
1999
Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate. Zbl 0921.65071
Chainais-Hillairet, Claire
1999
On the convergence of SCF algorithms for the Hartree-Fock equations. Zbl 1090.65548
Cancès, Eric; Le Bris, Claude
2000
On the domain geometry dependence of the LBB condition. Zbl 1006.76052
Chizhonkov, Evgenij V.; Olshanskij, Maxim A.
2000
Entropic approximation in kinetic theory. Zbl 1084.82010
Schneider, Jacques
2004
Concepts – an object-oriented software package for partial differential equations. Zbl 1032.65128
Frauenfelder, Philipp; Lage, Christian
2002
Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121
Kinderlehrer, David; Walkington, Noel J.
1999
On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation. Zbl 0991.65088
Zouraris, Georgios E.
2001
Crack detection using electrostatic measurements. Zbl 0985.35103
Brühl, Martin; Hanke, Martin; Pidcock, Michael
2001
Mixed methods for the approximation of liquid crystal flows. Zbl 1032.76035
Liu, Chun; Walkington, Noel J.
2002
A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. Zbl 1031.78012
Meddahi, Salim; Selgas, Virginia
2003
Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes. Zbl 0972.65081
Coudière, Yves; Villedieu, Philippe
2000
Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
2004
The blocking of an inhomogeneous Bingham fluid. Applications to landslides. Zbl 1057.76004
Hild, Patrick; Ionescu, Ioan R.; Lachand-Robert, Thomas; Roşca, Ioan
2002
Hermite interpolants obtained by subdivision. (Interpolants d’Hermite $$C^2$$ obtenus par subdivision.) Zbl 0920.65002
Merrien, Jean-Louis
1999
The effect of reduced integration in the Steklov eigenvalue problem. Zbl 1077.65115
Armentano, María G.
2004
An active set strategy based on the augmented Lagrangian formulation for image restoration. Zbl 0918.65050
Ito, Kazufumi; Kunisch, Karl
1999
A mechanochemical model of angiogenesis and vasculogenesis. Zbl 1080.92012
Manoussaki, Daphne
2003
Convergent semidiscretization of a nonlinear fourth order parabolic system. Zbl 1026.35045
Jüngel, Ansgar; Pinnau, René
2003
Transport of pollutant in shallow water - a two time steps kinetic method. Zbl 1137.65392
Audusse, Emmanuel; Bristeau, Marie-Odile
2003
Numerical resolution of an “unbalanced” mass transport problem. Zbl 1037.65063
Benamou, Jean-David
2003
Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization. Zbl 0978.65054
Hintermüller, Michael
2001
A posteriori error estimates with post-processing for nonconforming finite elements. Zbl 1041.65083
Schieweck, Friedhelm
2002
A strongly nonlinear problem arising in glaciology. Zbl 0946.65115
Colinge, Jacques; Rappaz, Jacques
1999
The mortar method in the wavelet context. Zbl 0995.65131
Bertoluzza, Silvia; Perrier, Valérie
2001
Numerical analysis of a relaxed variational model of hysteresis in two-phase solids. Zbl 1007.74062
Carstensen, Carsten; Plecháč, Petr
2001
On the distribution of free path lengths for the periodic Lorentz gas. II. Zbl 1006.82025
Golse, François; Wennberg, Bernt
2000
Central schemes and contact discontinuities. Zbl 0972.65055
Kurganov, Alexander; Petrova, Guergana
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
2000
Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems. Zbl 0962.35152
Ben Youssef, Walid; Colin, Thierry
2000
A new two-dimensional shallow water model including pressure effects and slow varying bottom topography. Zbl 1130.76329
Ferrari, Stefania; Saleri, Fausto
2004
Diffusion limit of the Lorentz model: asymptotic preserving schemes. Zbl 1062.82050
Buet, Christophe; Cordier, Stéphane; Lucquin-Desreux, Brigitte; Mancini, Simona
2002
A comparison of dual Lagrange multiplier spaces for mortar finite element discretizations. Zbl 1024.65111
Wohlmuth, Barbara I.
2002
Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes. Zbl 1137.65426
Apel, Thomas; Sändig, Anna-Margarete; Solov’ev, Sergey I.
2002
Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012
Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer
2003
A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines. Zbl 0986.35111
Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca
2001
Coupling of transport and diffusion models in linear transport theory. Zbl 0995.45008
2002
$$L^\infty(L^2)$$ and $$L^\infty(L^\infty)$$ error estimates for mixed methods for integro-differential equations of parabolic type. Zbl 0941.65143
Jiang, Ziwen
1999
Mathematical and numerical studies of nonlinear ferromagnetic materials. Zbl 0960.78003
Joly, Patrick; Vacus, Olivier
1999
Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation. Zbl 0956.76040
Amara, Mohamed; Bernardi, Christine
1999
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
2003
On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325
Parés, Carlos; Castro, Manuel
2004
Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095
von Petersdorff, Tobias; Schwab, Christoph
2004
Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052
Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph
2004
A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117
Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred
2004
Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031
Düring, Bertram; Fournié, Michel; Jüngel, Ansgar
2004
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
2004
A posteriori error analysis of the fully discretized time-dependent Stokes equations. Zbl 1079.76042
Bernardi, Christine; Verfürth, Rüdiger
2004
Galerkin time-stepping methods for nonlinear parabolic equations. Zbl 1085.65094
Akrivis, Georgios; Makridakis, Charalambos
2004
Entropic approximation in kinetic theory. Zbl 1084.82010
Schneider, Jacques
2004
Numerical analysis of the MFS for certain harmonic problems. Zbl 1079.65108
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
2004
The effect of reduced integration in the Steklov eigenvalue problem. Zbl 1077.65115
Armentano, María G.
2004
A new two-dimensional shallow water model including pressure effects and slow varying bottom topography. Zbl 1130.76329
Ferrari, Stefania; Saleri, Fausto
2004
Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana
2004
Mixed finite element approximation of 3D contact problems with given friction: error analysis and numerical realization. Zbl 1080.74046
Haslinger, Jaroslav; Sassi, Taoufik
2004
Analysis of lumped parameter models for blood flow simulations and their relation with 1D models. Zbl 1079.76053
Milišić, Vuk; Quarteroni, Alfio
2004
Numerical study of the Davey-Stewartson system. Zbl 1080.65095
Besse, Christophe; Mauser, Norbert J.; Stimming, Hans Peter
2004
Error of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1076.76054
Emmrich, Etienne
2004
Finite volume schemes for the $$p$$-Laplacian on Cartesian meshes. Zbl 1081.65105
Andreianov, Boris; Boyer, Franck; Hubert, Florence
2004
New integral formulations for wave diffraction problems. (Nouvelles formulations intégrales pour les problèmes de diffraction d’ondes.) Zbl 1130.35326
Levadoux, David P.; Michielsen, Bastiaan L.
2004
Error estimates in the fast multipole method for scattering problems. I. Truncation of the Jacobi-Anger series. Zbl 1077.41027
Carayol, Quentin; Collino, Francis
2004
Residual and hierarchical a posteriori error estimates for nonconforming mixed finite element methods. Zbl 1077.65113
El Alaoui, Linda; Ern, Alexandre
2004
On a hybrid finite-volume-particle method. Zbl 1077.65091
Chertock, Alina; Kurganov, Alexander
2004
Dynamical behavior of Volterra model with mutual interference concerning IPM. Zbl 1081.34042
Zhang, Yujuan; Liu, Bing; Chen, Lansun
2004
The correct use of the Lax-Friedrichs method. Zbl 1077.65089
Breuss, Michael
2004
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
2004
Young-measure approximations for elastodynamics with non-monotone stress-strain relations. Zbl 1130.74383
Carstensen, Carsten; Rieger, Marc Oliver
2004
Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle. Zbl 1080.74036
Copetti, Maria I. M.
2004
On the modeling of the transport of particles in turbulent flows. Zbl 1079.76037
Goudon, Thierry; Poupaud, Frédéric
2004
Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058
Bartels, Sören
2004
Mixed formulations for a class of variational inequalities. Zbl 1100.65059
Slimane, Leila; Bendali, Abderrahmane; Laborde, Patrick
2004
A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP. Zbl 1081.81127
Besse, Christophe; Bidégaray-Fesquet, Brigitte; Bourgeade, Antoine; Degond, Pierre; Saut, Olivier
2004
Mathematical and numerical analysis of a stratigraphic model. Zbl 1130.86315
Gervais, Véronique; Masson, Roland
2004
The fourth order accuracy decomposition scheme for an evolution problem. Zbl 1077.65101
Gegechkori, Zurab; Rogava, Jemal; Tsiklauri, Mikheil
2004
Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015
Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo
2004
Finite element approximation of a Stefan problem with degenerate Joule heating. Zbl 1072.80010
Barrett, John W.; Nürnberg, Robert
2004
An asymptotically optimal model for isotropic heterogeneous linearly elastic plates. Zbl 1130.74403
2004
A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D. Zbl 1105.65352
Lamichhane, Bishnu P.; Wohlmuth, Barbara I.
2004
Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106
Feng, Xiaobing; Prohl, Andreas
2004
A note on $$(2K+1)$$-point conservative monotone schemes. Zbl 1075.65113
Tang, Huazhong; Warnecke, Gerald
2004
Finite element approximations of a glaciology problem. Zbl 1130.86300
Chow, Sum S.; Carey, Graham F.; Anderson, Michael L.
2004
A new formulation of the Stokes problem in a cylinder, and its spectral discretization. Zbl 1079.76055
Abdellatif, Nehla; Bernardi, Christine
2004
Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme. Zbl 1078.60075
Cocozza-Thivent, Christiane; Eymard, Robert
2004
Stick-slip transition capturing by using an adaptive finite element method. Zbl 1130.76368
Roquet, Nicolas; Saramito, Pierre
2004
Time splitting for wave equations in random media. Zbl 1130.74393
Bal, Guillaume; Ryzhik, Lenya
2004
On the connection between some Riemann-solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws. Zbl 1083.35063
Kröger, Tim; Noelle, Sebastian; Zimmermann, Susanne
2004
The existence of a solution and a numerical method for the Timoshenko nonlinear wave system. Zbl 1080.35159
2004
Raman laser: mathematical and numerical analysis of a model. Zbl 1078.78012
Castella, François; Chartier, Philippe; Faou, Erwan; Bayart, Dominique; Leplingard, Florence; Martinelli, Catherine
2004
Analysis of two-level domain decomposition preconditioners based on aggregation. Zbl 1078.65120
Sala, Marzio
2004
Approximation of the vibration modes of a plate coupled with a fluid by low-order isoparametric finite elements. Zbl 1130.74453
Hernández, Erwin
2004
A finite element method for domain decomposition with non-matching grids. Zbl 1047.65099
Becker, Roland; Hansbo, Peter; Stenberg, Rolf
2003
A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Zbl 1070.74047
Gerbeau, Jean-Frédéric; Vidrascu, Marina
2003
Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002
Glowinski, Roland; Rappaz, Jacques
2003
Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity. Zbl 1137.65431
Hansbo, Peter; Larson, Mats G.
2003
A finite element method on composite grids based on Nitsche’s method. Zbl 1031.65128
Hansbo, Anita; Hansbo, Peter; Larson, Mats G.
2003
Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007
Ito, Kazufumi; Kunisch, Karl
2003
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony
2003
Numerical simulation of chemotactic bacteria aggregation via mixed finite elements. Zbl 1065.92006
Marrocco, Americo
2003
A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. Zbl 1137.35346
Capdeboscq, Yves; Vogelius, Michael S.
2003
Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. Zbl 1118.74315
Deparis, Simone; Fernández, Miguel Angel; Formaggia, Luca
2003
Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. Zbl 1032.82038
Chainais-Hillairet, Claire; Liu, Jian-Guo; Peng, Yue-Jun
2003
Singularities of eddy current problems. Zbl 1170.35353
Costabel, Martin; Dauge, Monique; Nicaise, Serge
2003
Analysis of total variation flow and its finite element approximations. Zbl 1050.35004
Feng, Xiaobing; Prohl, Andreas
2003
A mixed-FEM and BEM coupling for a three-dimensional eddy current problem. Zbl 1031.78012
Meddahi, Salim; Selgas, Virginia
2003
A mechanochemical model of angiogenesis and vasculogenesis. Zbl 1080.92012
Manoussaki, Daphne
2003
Convergent semidiscretization of a nonlinear fourth order parabolic system. Zbl 1026.35045
Jüngel, Ansgar; Pinnau, René
2003
Transport of pollutant in shallow water - a two time steps kinetic method. Zbl 1137.65392
Audusse, Emmanuel; Bristeau, Marie-Odile
2003
Numerical resolution of an “unbalanced” mass transport problem. Zbl 1037.65063
Benamou, Jean-David
2003
Singular perturbation for the Dirichlet boundary control of elliptic problems. Zbl 1051.49012
Ben Belgacem, Faker; El Fekih, Henda; Metoui, Hejer
2003
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
2003
Relaxation schemes for the multicomponent Euler system. Zbl 1070.76037
Dellacherie, Stéphane
2003
Optimal asymptotic estimates for the volume of internal inhomogeneities in terms of multiple boundary measurements. Zbl 1137.35347
Capdeboscq, Yves; Vogelius, Michael S.
2003
Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows. Zbl 1070.76035
Guermond, Jean-Luc; Prudhomme, Serge
2003
Zienkiewicz-Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes. Zbl 1077.65114
Kunert, Gerd; Nicaise, Serge
2003
Vorticity dynamics and turbulence models for large-eddy simulations. Zbl 1044.35051
Cottet, Georges-Henri; Jiroveanu, Delia; Michaux, Bertrand
2003
Modelling of miscible liquids with the Korteweg stress. Zbl 1201.76045
Kostin, Ilya; Marion, Martine; Texier-Picard, Rozenn; Volpert, Vitaly A.
2003
Cell-to-muscle homogenization. Application to a constitutive law for the myocardium. Zbl 1070.74030
Caillerie, Denis; Mourad, Ayman; Raoult, Annie
2003
Simulation of electrophysiological waves with an unstructured finite element method. Zbl 1065.92004
Bourgault, Yves; Ethier, Marc; LeBlanc, Victor G.
2003
Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi-elastic limit. Zbl 1046.76034
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
2003
An entropy-correction free solver for non-homogeneous shallow water equations. Zbl 1033.76032
Chacón Rebollo, Tomás; Domínguez Delgado, Antonio; Fernández Nieto, Enrique D.
2003
A generalized strange term in Signorini’s type problems. Zbl 1040.35008
Conca, Carlos; Murat, François; Timofte, Claudia
2003
Time domain computational modelling of 1D arterial networks in monochorionic placentas. Zbl 1065.92017
Franke, Victoria E.; Parker, Kim H.; Wee, Ling Y.; Fisk, Nicholas M.; Sherwin, Spencer J.
2003
Medical image-based computational model of pulsatile flow in saccular aneurisms. Zbl 1065.92029
Salmon, Stéphanie; Thiriet, Marc; Gerbeau, Jean-Frédéric
2003
A three-dimensional finite element method for biological active soft tissue. Formulation in cylindrical polar coordinates. Zbl 1070.74045
Bourdarias, Christian; Gerbi, Stéphane; Ohayon, Jacques
2003
The treatment of “pinching locking” in 3D shell elements. Zbl 1031.74046
Chapelle, Dominique; Ferent, Anca; Le Tallec, Patrick
2003
Finite element methods on non-conforming grids by penalizing the matching constraint. Zbl 1043.65124
Boillat, Eric
2003
Error estimates for modified local Shepard’s formulas in Sobolev spaces. Zbl 1074.65125
Zuppa, Carlos
2003
Fluid-particle shear flows. Zbl 1118.76357
Maury, Bertrand
2003
Global stability of steady solutions for a model in virus dynamics. Zbl 1065.92013
Frid, Hermano; Jabin, Pierre-Emmanuel; Perthame, Benoît
2003
Approximation of a semilinear elliptic problem in an unbounded domain. Zbl 1137.35364
Kolli, Messaoud; Schatzman, Michelle
2003
Exterior problem of the Darwin model and its numerical computation. Zbl 1031.35143
Ying, Lung-an; Li, Fengyan
2003
An entropy-correction free solver for non-homogeneous shallow water equations. Zbl 1137.65420
Chacón Rebollo, Tomás; Domínguez Delgado, Antonio; Fernández Nieto, Enrique D.
2003
A posteriori error estimates for the 3D stabilized mortar finite element method applied to the Laplace equation. Zbl 1076.65092
Belhachmi, Zakaria
2003
$$hp$$-finite element approximations on non-matching grids for partial differential equations with non-negative characteristic form. Zbl 1028.65124
Toselli, Andrea
2003
Persistence and bifurcation analysis on a predator-prey system of Holling type. Zbl 1029.34040
Mukherjee, Debasis
2003
Solution of degenerate parabolic variational inequalities with convection. Zbl 1033.65049
Kacur, Jozef; Van Keer, Roger
2003
Vertical compaction in a faulted sedimentary basin. Zbl 1048.35080
Gagneux, Gérard; Masson, Roland; Plouvier-Debaigt, Anne; Vallet, Guy; Wolf, Sylvie
2003
An approximate nonlinear projection scheme for a combustion model. Zbl 1062.65102
Berthon, Christophe; Reignier, Didier
2003
Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint. Zbl 1028.35101
Berthelin, Florent
2003
Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398
Kurganov, Alexander; Levy, Doron
2002
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 0998.65067
2002
...and 214 more Documents
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#### Cited by 4,980 Authors

 35 Burman, Erik 35 Kurganov, Alexander 32 Nicaise, Serge 30 Parés Madroñal, Carlos 28 Carstensen, Carsten 27 Hansbo, Peter 26 Shi, Dongyang 25 Castro, Manuel J. 24 Shu, Chi-Wang 22 Ammari, Habib M. 22 Larson, Mats G. 22 Qiu, Jianxian 21 Carrillo de la Plata, José Antonio 21 Eymard, Robert 20 Cancès, Clément 20 Fernández-Nieto, Enrique Domingo 20 Schwab, Christoph 19 Bernardi, Christine 19 Girault, Vivette 19 He, Yinnian 18 Guermond, Jean-Luc 17 Chertock, Alina E. 17 Takahashi, Takéo 17 Vohralík, Martin 16 Chacón Rebollo, Tomás 16 Kang, Hyeonbae 16 Karlsen, Kenneth Hvistendahl 16 Li, Jichun 16 Perthame, Benoît 16 Rodríguez, Rodolfo 15 Bartels, Sören 15 Henning, Patrick 15 Hiptmair, Ralf 15 Huang, Yunqing 15 John, Volker 15 Nochetto, Ricardo Horacio 15 Ohlberger, Mario 15 Quarteroni, Alfio M. 15 Zhu, Jun 14 Berthon, Christophe 14 Chainais-Hillairet, Claire 14 Droniou, Jérôme 14 Ern, Alexandre 14 Gallouët, Thierry 14 Gaudiello, Antonio 14 Jin, Shi 14 Sheen, Dongwoo 13 Castro-Díaz, Manuel Jesús 13 Dumbser, Michael 13 Fernández, Miguel Ángel 13 Manzini, Gianmarco 13 Saad, Mazen 13 Shen, Jie 12 Bürger, Raimund 12 Di Pietro, Daniele Antonio 12 Guillén González, Francisco M. 12 Jakobsen, Espen Robstad 11 Becker, Roland 11 Cai, Li 11 Company, Rafael 11 Gosse, Laurent 11 Goudon, Thierry 11 Herbin, Raphaèle 11 Picasso, Marco 11 Schmidt, Kersten 11 Temam, Roger Meyer 11 Wohlmuth, Barbara I. 11 Zuazua, Enrique 10 Benamou, Jean-David 10 Bouchut, François 10 Chen, Shaochun 10 Ciarlet, Patrick jun. 10 Feng, Jianhu 10 Goreac, Dan 10 Hecht, Frédéric 10 Hou, Yanren 10 Jódar Sanchez, Lucas Antonio 10 Karageorghis, Andreas 10 Kunisch, Karl 10 Makridakis, Charalambos G. 10 Paicu, Marius 10 Peterseim, Daniel 10 Reisinger, Christoph 10 Salgado, Abner J. 10 Schötzau, Dominik 10 Shang, Yueqiang 10 Solov’ëv, Sergeĭ Ivanovich 10 Wu, Jiming 10 Xing, Yulong 10 Zou, Jun 9 Achchab, Boujemaa 9 Chen, Li 9 Chen, Zhiming 9 Gunzburger, Max D. 9 Guo, Ben-Yu 9 Harbrecht, Helmut 9 Hintermüller, Michael 9 Hoppe, Ronald H. W. 9 Kaya, Songul 9 Mao, Shipeng ...and 4,880 more Authors
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#### Cited in 358 Journals

 286 Journal of Computational Physics 228 Computer Methods in Applied Mechanics and Engineering 174 Journal of Scientific Computing 160 Numerische Mathematik 142 Journal of Computational and Applied Mathematics 139 Mathematics of Computation 132 Applied Numerical Mathematics 127 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 120 Computers & Mathematics with Applications 98 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 96 Applied Mathematics and Computation 76 Numerical Methods for Partial Differential Equations 73 Computers and Fluids 70 SIAM Journal on Numerical Analysis 69 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 67 Journal of Mathematical Analysis and Applications 52 Comptes Rendus. Mathématique. Académie des Sciences, Paris 45 Journal of Differential Equations 43 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 41 Archive for Rational Mechanics and Analysis 37 SIAM Journal on Scientific Computing 36 International Journal for Numerical Methods in Engineering 36 Advances in Computational Mathematics 36 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 33 Mathematical Methods in the Applied Sciences 32 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Applied Mathematics and Optimization 26 SIAM Journal on Mathematical Analysis 24 Calcolo 24 Computational Mechanics 23 BIT 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Applicable Analysis 21 International Journal for Numerical Methods in Fluids 19 Applied Mathematics Letters 19 International Journal of Computer Mathematics 18 Communications in Mathematical Physics 18 Computational Geosciences 18 Nonlinear Analysis. Real World Applications 17 Journal of Statistical Physics 17 Numerical Algorithms 17 Applied Mathematical Modelling 17 Communications in Partial Differential Equations 17 Computational Optimization and Applications 17 Foundations of Computational Mathematics 17 Journal of Numerical Mathematics 17 Discrete and Continuous Dynamical Systems. Series S 16 Mathematics and Computers in Simulation 16 Numerical Functional Analysis and Optimization 16 Physica D 16 Applications of Mathematics 16 Mathematical Problems in Engineering 16 Computational Methods in Applied Mathematics 15 Journal of Mathematical Physics 15 Calculus of Variations and Partial Differential Equations 15 Discrete and Continuous Dynamical Systems 15 Science China. Mathematics 14 Inverse Problems 14 Computing 14 Chinese Annals of Mathematics. Series B 14 Archives of Computational Methods in Engineering 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Journal of Optimization Theory and Applications 13 Journal of Elasticity 13 Journal of Mathematical Imaging and Vision 13 Computational and Applied Mathematics 13 Multiscale Modeling & Simulation 13 SIAM Journal on Imaging Sciences 12 Engineering Analysis with Boundary Elements 12 Journal of Hyperbolic Differential Equations 12 Inverse Problems and Imaging 11 Journal of Fluid Mechanics 11 SIAM Journal on Control and Optimization 11 Acta Applicandae Mathematicae 11 Mathematical and Computer Modelling 11 SIAM Journal on Applied Mathematics 11 Journal of Mathematical Fluid Mechanics 11 Discrete and Continuous Dynamical Systems. Series B 11 Journal of Applied Mathematics and Computing 11 Acta Numerica 10 Journal of Mathematical Sciences (New York) 10 NoDEA. Nonlinear Differential Equations and Applications 10 Abstract and Applied Analysis 10 Journal of Applied Mathematics 9 Journal of Engineering Mathematics 9 Quarterly of Applied Mathematics 9 Kinetic and Related Models 8 Stochastic Processes and their Applications 8 Communications in Numerical Methods in Engineering 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 S$$\vec{\text{e}}$$MA Journal 7 Journal of the Mechanics and Physics of Solids 7 Wave Motion 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of Nonlinear Science 7 Applied and Computational Harmonic Analysis 7 European Journal of Mechanics. B. Fluids 7 Lobachevskii Journal of Mathematics 7 Journal of Systems Science and Complexity 7 Analysis and Applications (Singapore) ...and 258 more Journals
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#### Cited in 49 Fields

 2,459 Numerical analysis (65-XX) 2,000 Partial differential equations (35-XX) 1,342 Fluid mechanics (76-XX) 588 Mechanics of deformable solids (74-XX) 382 Calculus of variations and optimal control; optimization (49-XX) 333 Optics, electromagnetic theory (78-XX) 214 Statistical mechanics, structure of matter (82-XX) 201 Biology and other natural sciences (92-XX) 147 Probability theory and stochastic processes (60-XX) 121 Systems theory; control (93-XX) 110 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Geophysics (86-XX) 89 Ordinary differential equations (34-XX) 78 Information and communication theory, circuits (94-XX) 76 Operations research, mathematical programming (90-XX) 75 Computer science (68-XX) 74 Operator theory (47-XX) 63 Integral equations (45-XX) 56 Classical thermodynamics, heat transfer (80-XX) 41 Dynamical systems and ergodic theory (37-XX) 39 Quantum theory (81-XX) 33 Approximations and expansions (41-XX) 28 Functional analysis (46-XX) 26 Real functions (26-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 17 Mechanics of particles and systems (70-XX) 12 Differential geometry (53-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Special functions (33-XX) 10 Difference and functional equations (39-XX) 9 Potential theory (31-XX) 8 Statistics (62-XX) 6 Integral transforms, operational calculus (44-XX) 6 Astronomy and astrophysics (85-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 5 Convex and discrete geometry (52-XX) 5 Relativity and gravitational theory (83-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX)