Edit Profile (opens in new tab) Raviart, Pierre-Arnaud Compute Distance To: Compute Author ID: raviart.pierre-arnaud Published as: Raviart, P. A.; Raviart, Pierre-Arnaud; Raviart, P.-A.; Raviart, Pierre-Arnau; Raviart, Pierre A. more...less External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 124 Publications since 1966, including 8 Books 2 Contributions as Editor Co-Authors: 60 Co-Authors with 97 Joint Publications 1,759 Co-Co-Authors all top 5 Co-Authors 27 single-authored 20 Godlewski, Edwige 12 Ambroso, Annalisa 11 Chalons, Christophe 10 Seguin, Nicolas 9 Coquel, Frédéric 8 Brezzi, Franco 7 Ciarlet, Philippe Gaston 7 Mas-Gallic, Sylvie 6 Degond, Pierre 6 Lagoutière, Frédéric 6 Sonnendrücker, Eric 5 Girault, Vivette 5 Rappaz, Jacques 4 LeFloch, Philippe Gerard 4 Thomas, Jean-Marie 3 Assous, Franck 3 Ben Abdallah, Naoufel 3 Crouzeix, Michel 3 Fleury, Xavier 3 Jamet, Pierre 3 Olazabal, Marina 2 Bourgeade, Antoine 2 Ciarlet, Patrick jun. 2 Cottet, Georges-Henri 2 Hager, William W. 2 Jaffard, Stéphane 2 Lucquin-Desreux, Brigitte 2 Poupaud, Frédéric 2 Sainsaulieu, Lionel 2 Segré, Jacques 1 Adam, J. C. 1 Boutin, Benjamin 1 Buet, Christophe 1 Carasso, Claude 1 Cargo, Patricia 1 Cherfils Clérouin, Catherine 1 Clarisse, Jean-Marie 1 Cordier, Stéphane 1 Dellacherie, Stéphane 1 Frénod, Emmanuel 1 Galié, Thomas 1 Gallice, Gérard 1 Gourdin Serveniere, A. 1 Greengard, Claude 1 Heintze, E. 1 Jaouen, Stéphane 1 Jung, Jonathan 1 Lafitte, Olivier D. 1 Lasaint, P. 1 Le Thanh, Kim-Claire 1 Lebaud, G. 1 Lesaint, Pierre 1 Lions, Jacques-Louis 1 Marini, Luisa Donatella 1 Markowich, Peter Alexander 1 Méhats, Florian 1 Nédélec, Jean-Claude 1 Omnes, Pascal 1 Osborn, John E. 1 Perthame, Benoît 1 Quarteroni, Alfio M. 1 Serre, Denis all top 5 Serials 11 Numerische Mathematik 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Mathematics of Computation 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Methods in the Applied Sciences 3 Asymptotic Analysis 3 Lecture Notes in Mathematics 2 Archive for Rational Mechanics and Analysis 2 International Journal for Numerical Methods in Fluids 2 Journal of Computational Physics 2 Transport Theory and Statistical Physics 2 SIAM Journal on Numerical Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Mathematical Sciences 1 Acta Universitatis Carolinae. Mathematica et Physica 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Quarterly of Applied Mathematics 1 Journal of Computational Mathematics 1 Forum Mathematicum 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Rendiconti di Matematica, VI. Serie 1 Collection de la Direction des Études et Recherches d’Électricité de France 1 Springer Series in Computational Mathematics 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Mathématiques & Applications (Paris) 1 International Journal on Finite Volumes all top 5 Fields 79 Partial differential equations (35-XX) 66 Numerical analysis (65-XX) 57 Fluid mechanics (76-XX) 15 Optics, electromagnetic theory (78-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 7,428 times in 6,196 Documents Cited by ▼ Year ▼ Finite element methods for Navier-Stokes equations. Theory and algorithms. (Extended version of the 1979 publ.). Zbl 0585.65077Girault, Vivette; Raviart, Pierre-Arnaud 1,936 1986 Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081Girault, V.; Raviart, P.-A. 660 1979 Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087Crouzeix, M.; Raviart, P.-A. 534 1974 A mixed finite element method for 2nd order elliptic problems. Zbl 0362.65089Raviart, P. A.; Thomas, J. M. 504 1977 An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070Girault, V.; Raviart, P. A. 409 1979 Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075Godlewski, Edwige; Raviart, Pierre-Arnaud 284 1996 Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069Ciarlet, P. G.; Raviart, P.-A. 227 1973 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004Ciarlet, P. G.; Raviart, P. A. 206 1972 The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080Godlewski, E.; Raviart, P.-A. 205 2004 Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021Brezzi, F.; Rappaz, J.; Raviart, P. A. 177 1980 Hyperbolic systems of conservation laws. Zbl 0768.35059Godlewski, Edwige; Raviart, Pierre-Arnaud 159 1991 Introduction à l’analyse numérique des équations aux dérivées partielles. Zbl 0561.65069Raviart, Pierre-Arnaud; Thomas, J. M. 128 1983 Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082Raviart, P. A.; Thomas, J. M. 126 1977 On a finite element method for solving the neutron transport equation. Zbl 0341.65076Lasaint, P.; Raviart, P. A. 122 1974 Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030Brezzi, Franco; Hager, William W.; Raviart, P. A. 114 1977 Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079Ciarlet, P. G.; Raviart, P.-A. 110 1972 A mixed finite element method for the biharmonic equation. Zbl 0337.65058Ciarlet, P. G.; Raviart, P. A. 96 1974 Eigenvalue approximation by mixed and hybrid methods. Zbl 0472.65080Mercier, B.; Osborn, J.; Rappaz, J.; Raviart, P. A. 92 1981 The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070Ciarlet, P. G.; Raviart, P.-A. 85 1972 On a finite-element method for solving the three-dimensional Maxwell equations. Zbl 0795.65087Assous, F.; Degond, P.; Heintze, E.; Raviart, P. A.; Segre, J. 78 1993 Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081Girault, V.; Raviart, P.-A. 64 1981 Sur la résolution de certaines équations paraboliques non linéaires. Zbl 0199.42401Raviart, P. A. 60 1970 Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036Brezzi, F.; Rappaz, J.; Raviart, P. A. 58 1981 Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085Brezzi, F.; Raviart, P. A. 55 1977 Particle methods for the one-dimensional Vlasov-Poisson equations. Zbl 0549.65084Cottet, G.-H.; Raviart, P.-A. 54 1984 Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037Brezzi, F.; Rappaz, J.; Raviart, P. A. 51 1981 Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077Brezzi, Franco; Hager, William W.; Raviart, P. A. 50 1978 A Godunov-type method for the seven-equation model of compressible two-phase flow. Zbl 1291.76212Ambroso, A.; Chalons, C.; Raviart, P.-A. 49 2012 Godunov-type schemes for hyperbolic systems with parameter-dependent source: the case of Euler system with friction. Zbl 1213.35034Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas 39 2010 An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064Le Floch, Philippe; Raviart, Pierre-Arnaud 32 1988 An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics. Zbl 0703.35106Bourgeade, A.; Le Floch, Ph.; Raviart, P. A. 31 1989 A particle method for first-order symmetric systems. Zbl 0625.65084Mas-Gallic, S.; Raviart, Pierre-Arnaud 30 1987 A boundary-value problem for the stationary Vlasov-Poisson equations: The plane diode. Zbl 0721.35084Greengard, Claude; Raviart, P.-A. 30 1990 A method of coupling nonlinear hyperbolic systems: examples in CFD and plasma physics. Zbl 1155.76374Godlewski, E.; Raviart, P. A. 28 2005 Finite element collocation methods for first order systems. Zbl 0417.65056Lesaint, P.; Raviart, P. A. 28 1979 The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. II: The case of systems. Zbl 1095.65084Godlewski, Edwige; Le Thanh, Kim-Claire; Raviart, Pierre-Arnaud 27 2005 Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system. Zbl 1382.76183Dellacherie, S.; Jung, J.; Omnes, P.; Raviart, P.-A. 26 2016 A nonconservative hyperbolic system modeling spray dynamics. I: Solution of the Riemann problem. Zbl 0837.76089Raviart, Pierre-Arnaud; Sainsaulieu, Lionel 25 1995 An analysis of the Darwin model of approximation to Maxwell’s equations. Zbl 0755.35137Degond, Pierre; Raviart, Pierre-Arnaud 22 1992 Two-scale expansion of a singularly perturbed convection equation. Zbl 1032.35026Frénod, E.; Raviart, P.-A.; Sonnendrücker, E. 20 2001 The use of numerical integration in finite element methods for solving parabolic equations. Zbl 0293.65086Raviart, P. A. 19 1973 Numerical solution of the stationary Navier-Stokes equations by finite element methods. Zbl 0285.76007Jamet, P.; Raviart, P. A. 17 1974 An asymptotic analysis of the one-dimensional Vlasov-Poisson system: The Child-Langmuir law. Zbl 0840.35082Degond, P.; Raviart, P. A. 16 1991 The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. A general numerical approach. Zbl 1027.65124Godlewski, Edwige; Raviart, Pierre-Arnaud 16 1999 A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122Raviart, Pierre-Arnaud; Sonnendrücker, Eric 15 1996 Coupling of general Lagrangian systems. Zbl 1149.35380Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. 15 2008 An analysis of particle methods. Zbl 0598.76003Raviart, Pierre-Arnaud 14 1985 Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E. 14 1999 Sur la résolution et l’approximation de certaines équations paraboliques non linéaires dégénérées. Zbl 0153.42202Raviart, P. A. 14 1967 The interface coupling of the gas dynamics equations. Zbl 1157.76039Chalons, Christophe; Raviart, Pierre-Arnaud; Seguin, Nicolas 13 2008 Hybrid finite element methods for solving 2nd order elliptic equations. Zbl 0339.65061Raviart, P. A. 13 1975 Relaxation methods and coupling procedures. Zbl 1384.65051Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. 13 2008 An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036Girault, V.; Raviart, P.-A. 12 1982 On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110Degond, P.; Raviart, P. A. 12 1993 Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035Crouzeix, M.; Raviart, P. A. 12 1978 Study of an implicit scheme for integrating Maxwell’s equations. Zbl 0433.73067Adam, J. C.; Gourdin Serveniere, A.; Nedelec, J. C.; Raviart, P. A. 11 1980 Sur l’approximation de certaines équations d’évolution linéaires et non linéaires. Zbl 0198.49803Raviart, P. A. 11 1967 Sur l’approximation de certaines équations d’évolution linéaires et non linéaires. Zbl 0198.49901Raviart, P. A. 11 1967 The drift-flux asymptotic limit of barotropic two-phase two-pressure models. Zbl 1141.76065Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas 10 2008 On the linearization of hyperbolic systems of conservation laws. Application to stability. Zbl 0912.35103Godlewski, Edwige; Olazabal, Marina; Raviart, Pierre-Arnaud 10 1998 Homogeneous models with phase transition: coupling by finite volume methods. Zbl 1374.76108Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Lagoutière, Frédéric; Raviart, Pierre-Arnaud; Seguin, Nicolas 8 2005 Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064Crouzeix, Michel; Raviart, Pierre-Arnaud 8 1976 Existence result for the coupling problem of two scalar conservation laws with Riemann initial data. Zbl 1211.35017Boutin, Benjamin; Chalons, Christophe; Raviart, Pierre-Arnaud 7 2010 Modeling of collisions. Summer school, Saint-Malo, France, September 1994. Zbl 0924.76002Decoster, A.; Markowich, P. A.; Perthame, B. 7 1998 On singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051Ambroso, A.; Méhats, F.; Raviart, P. A. 7 2001 A relaxation method for the coupling of systems of conservation laws. Zbl 1140.35515Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. 7 2008 Paraxial approximation of ultrarelativistic intense beams. Zbl 0816.65119Laval, G.; Mas-Gallic, S.; Raviart, P. A. 7 1994 The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. I: Statement of the problem and basic estimates. Zbl 0844.35086Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A. 6 1996 Asymptotic results for the linear stage of the Rayleigh-Taylor instability. Zbl 0984.35128Cherfils Clérouin, Catherine; Lafitte, Olivier; Raviart, Pierre-Arnaud 5 2001 Extension of interface coupling to general Lagrangian systems. Zbl 1278.76099Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. 5 2006 On the linearization of systems of conservation laws for fluids at a material contact discontinuity. Zbl 0968.76073Godlewski, Edwige; Olazabal, Marina; Raviart, Pierre-Arnaud 5 1999 Dual finite element models for second order elliptic problems. Zbl 0408.73070Raviart, P. A.; Thomas, J. M. 5 1979 On an equilibrium finite element method for plate bending problems. Zbl 0456.73062Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A. 4 1980 On the numerical analysis of particle simulations in plasma physics. Zbl 0576.76127Raviart, Pierre-Arnaud 4 1983 Approximate models for the Maxwell equations. Zbl 0862.65076Raviart, Pierre-Arnau; Sonnendrücker, Eric 4 1995 A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed planar-symmetric flows of gas dynamics. Zbl 1107.76367Clarisse, Jean-Marie; Jaouen, Stéphane; Raviart, Pierre-Arnaud 4 2004 Paraxial approximation of the stationary Vlasov-Maxwell equations. Zbl 0823.35149Raviart, P. A. 3 1994 The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. II: Analysis of the reduced problem and determination of the Child-Langmuir current. Zbl 0844.35087Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A. 3 1996 Sur la résolution numérique de l’équation \(\partial u/\partial t + u \partial u/\partial x - \epsilon(\partial/\partial x)(|\partial u/\partial x|\partial u/\partial x) = 0\). Zbl 0212.44101Raviart, P. A. 3 1970 Nonconservative hyperbolic systems and two-phase flows. Zbl 0938.35575Raviart, P.-A.; Sainsaulieu, L. 3 1993 Mathematical models of ion extraction and plasma sheaths. Zbl 0863.76095Mas-Gallic, S.; Raviart, P. A. 3 1994 Un développement asymptotique pour la solution du problème de Riemann généralisé. (An asymptotic expansion for the solution of the generalized Riemann problem). Zbl 0619.35074Le Floch, Philippe; Raviart, Pierre-Arnaud 2 1987 Analysis and asymptotics of a one-dimensional ion extraction model. Zbl 0829.76096Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud 2 1995 An asymptotic preserving scheme for Euler equations with gravity and friction. Zbl 1374.76165Coquel, Frédéric; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas 1 2008 Numerical approximation of hyperbolic systems of conservation laws. 2nd edition. Zbl 1469.65007Godlewski, Edwige; Raviart, Pierre-Arnaud 1 2021 Particle approximation of first order systems. Zbl 0626.76077Raviart, Pierre-Arnaud 1 1986 Asymptotic analysis of an ion extraction model. (Analyse asymptotique d’un modèle d’extraction d’ions.) Zbl 0773.34043Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud 1 1993 Construction of a Roe linearization for the ideal MHD equations. (Construction d’une linéarisée de Roe pour les équations de la MHD idéale.) Zbl 0873.76094Cargo, Patricia; Gallice, Gérard; Raviart, Pierre-Arnaud 1 1996 Vortex methods for the incompressible Euler and Navier-Stokes equations. Zbl 0676.76027Cottet, G. H.; Mas-Gallic, S.; Raviart, Pierre-Arnaud 1 1988 Approximate models for Maxwell’s equations and applications. Zbl 0779.65084Raviart, P. A. 1 1991 Sur une classe d’équations paraboliques non linéaires dégénérées. Zbl 0174.15602Raviart, P.-A. 1 1969 Remarques sur la résolution, exacte et approchee,d’équations d’évolution paraboliques à coefficients non bornes. Zbl 0191.11601Lions, J.; Raviart, P. A. 1 1967 Une méthode de résolution numérique des équations de Navier-Stokes. Zbl 0203.48403Jamet, P.; Lascaux, P.; Raviart, P. A. 1 1970 Sur l’approximation du problème de Dirichlet pour les opérateurs elliptiques d’ordre 2. Zbl 0236.35005Lebaud, G.; Raviart, P. A. 1 1969 Résolution numérique de certains problèmes hyperboliques non linéaires. Méthode de pseudo-viscosite. Zbl 0241.65065Raviart, P. A. 1 1971 A Godunov-type method for studying the linearised stability of a flow. Application to the Richtmyer-Meshkov instability. Zbl 0989.65105Godlewski, E.; Olazabal, M.; Raviart, P.-A. 1 2001 Some remarks on a stationary Vlasov-Poisson system with source term arising in ion beam neutralization. Zbl 1004.82016Ambroso, Annalisa; Fleury, Xavier; Lucquin-Desreux, Brigitte; Raviart, Pierre-Arnaud 1 2001 A mathematical analysis of electric probe models. Zbl 0870.35082Ben Abdallah, N.; Mas-Gallic, S.; Raviart, P. A. 1 1996 Coupling nonlinear hyperbolic systems: mathematical and numerical analysis. Zbl 1118.65354Godlewski, Edwige; Raviart, Pierre-Arnaud 1 2002 Finite element methods and Navier-Stokes equations. Zbl 0403.76039Raviart, P. A. 1 1979 Numerical approximation of hyperbolic systems of conservation laws. 2nd edition. Zbl 1469.65007Godlewski, Edwige; Raviart, Pierre-Arnaud 1 2021 Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system. Zbl 1382.76183Dellacherie, S.; Jung, J.; Omnes, P.; Raviart, P.-A. 26 2016 A Godunov-type method for the seven-equation model of compressible two-phase flow. Zbl 1291.76212Ambroso, A.; Chalons, C.; Raviart, P.-A. 49 2012 Godunov-type schemes for hyperbolic systems with parameter-dependent source: the case of Euler system with friction. Zbl 1213.35034Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas 39 2010 Existence result for the coupling problem of two scalar conservation laws with Riemann initial data. Zbl 1211.35017Boutin, Benjamin; Chalons, Christophe; Raviart, Pierre-Arnaud 7 2010 Coupling of general Lagrangian systems. Zbl 1149.35380Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. 15 2008 The interface coupling of the gas dynamics equations. Zbl 1157.76039Chalons, Christophe; Raviart, Pierre-Arnaud; Seguin, Nicolas 13 2008 Relaxation methods and coupling procedures. Zbl 1384.65051Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. 13 2008 The drift-flux asymptotic limit of barotropic two-phase two-pressure models. Zbl 1141.76065Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas 10 2008 A relaxation method for the coupling of systems of conservation laws. Zbl 1140.35515Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. 7 2008 An asymptotic preserving scheme for Euler equations with gravity and friction. Zbl 1374.76165Coquel, Frédéric; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas 1 2008 Extension of interface coupling to general Lagrangian systems. Zbl 1278.76099Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. 5 2006 A method of coupling nonlinear hyperbolic systems: examples in CFD and plasma physics. Zbl 1155.76374Godlewski, E.; Raviart, P. A. 28 2005 The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. II: The case of systems. Zbl 1095.65084Godlewski, Edwige; Le Thanh, Kim-Claire; Raviart, Pierre-Arnaud 27 2005 Homogeneous models with phase transition: coupling by finite volume methods. Zbl 1374.76108Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Lagoutière, Frédéric; Raviart, Pierre-Arnaud; Seguin, Nicolas 8 2005 The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080Godlewski, E.; Raviart, P.-A. 205 2004 A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed planar-symmetric flows of gas dynamics. Zbl 1107.76367Clarisse, Jean-Marie; Jaouen, Stéphane; Raviart, Pierre-Arnaud 4 2004 Coupling nonlinear hyperbolic systems: mathematical and numerical analysis. Zbl 1118.65354Godlewski, Edwige; Raviart, Pierre-Arnaud 1 2002 Two-scale expansion of a singularly perturbed convection equation. Zbl 1032.35026Frénod, E.; Raviart, P.-A.; Sonnendrücker, E. 20 2001 On singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051Ambroso, A.; Méhats, F.; Raviart, P. A. 7 2001 Asymptotic results for the linear stage of the Rayleigh-Taylor instability. Zbl 0984.35128Cherfils Clérouin, Catherine; Lafitte, Olivier; Raviart, Pierre-Arnaud 5 2001 A Godunov-type method for studying the linearised stability of a flow. Application to the Richtmyer-Meshkov instability. Zbl 0989.65105Godlewski, E.; Olazabal, M.; Raviart, P.-A. 1 2001 Some remarks on a stationary Vlasov-Poisson system with source term arising in ion beam neutralization. Zbl 1004.82016Ambroso, Annalisa; Fleury, Xavier; Lucquin-Desreux, Brigitte; Raviart, Pierre-Arnaud 1 2001 The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. A general numerical approach. Zbl 1027.65124Godlewski, Edwige; Raviart, Pierre-Arnaud 16 1999 Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E. 14 1999 On the linearization of systems of conservation laws for fluids at a material contact discontinuity. Zbl 0968.76073Godlewski, Edwige; Olazabal, Marina; Raviart, Pierre-Arnaud 5 1999 On the linearization of hyperbolic systems of conservation laws. Application to stability. Zbl 0912.35103Godlewski, Edwige; Olazabal, Marina; Raviart, Pierre-Arnaud 10 1998 Modeling of collisions. Summer school, Saint-Malo, France, September 1994. Zbl 0924.76002Decoster, A.; Markowich, P. A.; Perthame, B. 7 1998 Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075Godlewski, Edwige; Raviart, Pierre-Arnaud 284 1996 A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122Raviart, Pierre-Arnaud; Sonnendrücker, Eric 15 1996 The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. I: Statement of the problem and basic estimates. Zbl 0844.35086Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A. 6 1996 The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. II: Analysis of the reduced problem and determination of the Child-Langmuir current. Zbl 0844.35087Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A. 3 1996 Construction of a Roe linearization for the ideal MHD equations. (Construction d’une linéarisée de Roe pour les équations de la MHD idéale.) Zbl 0873.76094Cargo, Patricia; Gallice, Gérard; Raviart, Pierre-Arnaud 1 1996 A mathematical analysis of electric probe models. Zbl 0870.35082Ben Abdallah, N.; Mas-Gallic, S.; Raviart, P. A. 1 1996 A nonconservative hyperbolic system modeling spray dynamics. I: Solution of the Riemann problem. Zbl 0837.76089Raviart, Pierre-Arnaud; Sainsaulieu, Lionel 25 1995 Approximate models for the Maxwell equations. Zbl 0862.65076Raviart, Pierre-Arnau; Sonnendrücker, Eric 4 1995 Analysis and asymptotics of a one-dimensional ion extraction model. Zbl 0829.76096Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud 2 1995 Paraxial approximation of ultrarelativistic intense beams. Zbl 0816.65119Laval, G.; Mas-Gallic, S.; Raviart, P. A. 7 1994 Paraxial approximation of the stationary Vlasov-Maxwell equations. Zbl 0823.35149Raviart, P. A. 3 1994 Mathematical models of ion extraction and plasma sheaths. Zbl 0863.76095Mas-Gallic, S.; Raviart, P. A. 3 1994 On a finite-element method for solving the three-dimensional Maxwell equations. Zbl 0795.65087Assous, F.; Degond, P.; Heintze, E.; Raviart, P. A.; Segre, J. 78 1993 On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110Degond, P.; Raviart, P. A. 12 1993 Nonconservative hyperbolic systems and two-phase flows. Zbl 0938.35575Raviart, P.-A.; Sainsaulieu, L. 3 1993 Asymptotic analysis of an ion extraction model. (Analyse asymptotique d’un modèle d’extraction d’ions.) Zbl 0773.34043Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud 1 1993 An analysis of the Darwin model of approximation to Maxwell’s equations. Zbl 0755.35137Degond, Pierre; Raviart, Pierre-Arnaud 22 1992 Hyperbolic systems of conservation laws. Zbl 0768.35059Godlewski, Edwige; Raviart, Pierre-Arnaud 159 1991 An asymptotic analysis of the one-dimensional Vlasov-Poisson system: The Child-Langmuir law. Zbl 0840.35082Degond, P.; Raviart, P. A. 16 1991 Approximate models for Maxwell’s equations and applications. Zbl 0779.65084Raviart, P. A. 1 1991 A boundary-value problem for the stationary Vlasov-Poisson equations: The plane diode. Zbl 0721.35084Greengard, Claude; Raviart, P.-A. 30 1990 An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics. Zbl 0703.35106Bourgeade, A.; Le Floch, Ph.; Raviart, P. A. 31 1989 An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064Le Floch, Philippe; Raviart, Pierre-Arnaud 32 1988 Vortex methods for the incompressible Euler and Navier-Stokes equations. Zbl 0676.76027Cottet, G. H.; Mas-Gallic, S.; Raviart, Pierre-Arnaud 1 1988 A particle method for first-order symmetric systems. Zbl 0625.65084Mas-Gallic, S.; Raviart, Pierre-Arnaud 30 1987 Un développement asymptotique pour la solution du problème de Riemann généralisé. (An asymptotic expansion for the solution of the generalized Riemann problem). Zbl 0619.35074Le Floch, Philippe; Raviart, Pierre-Arnaud 2 1987 Finite element methods for Navier-Stokes equations. Theory and algorithms. (Extended version of the 1979 publ.). Zbl 0585.65077Girault, Vivette; Raviart, Pierre-Arnaud 1,936 1986 Particle approximation of first order systems. Zbl 0626.76077Raviart, Pierre-Arnaud 1 1986 An analysis of particle methods. Zbl 0598.76003Raviart, Pierre-Arnaud 14 1985 Particle methods for the one-dimensional Vlasov-Poisson equations. Zbl 0549.65084Cottet, G.-H.; Raviart, P.-A. 54 1984 Introduction à l’analyse numérique des équations aux dérivées partielles. Zbl 0561.65069Raviart, Pierre-Arnaud; Thomas, J. M. 128 1983 On the numerical analysis of particle simulations in plasma physics. Zbl 0576.76127Raviart, Pierre-Arnaud 4 1983 An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036Girault, V.; Raviart, P.-A. 12 1982 Eigenvalue approximation by mixed and hybrid methods. Zbl 0472.65080Mercier, B.; Osborn, J.; Rappaz, J.; Raviart, P. A. 92 1981 Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081Girault, V.; Raviart, P.-A. 64 1981 Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036Brezzi, F.; Rappaz, J.; Raviart, P. A. 58 1981 Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037Brezzi, F.; Rappaz, J.; Raviart, P. A. 51 1981 Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021Brezzi, F.; Rappaz, J.; Raviart, P. A. 177 1980 Study of an implicit scheme for integrating Maxwell’s equations. Zbl 0433.73067Adam, J. C.; Gourdin Serveniere, A.; Nedelec, J. C.; Raviart, P. A. 11 1980 On an equilibrium finite element method for plate bending problems. Zbl 0456.73062Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A. 4 1980 Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081Girault, V.; Raviart, P.-A. 660 1979 An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070Girault, V.; Raviart, P. A. 409 1979 Finite element collocation methods for first order systems. Zbl 0417.65056Lesaint, P.; Raviart, P. A. 28 1979 Dual finite element models for second order elliptic problems. Zbl 0408.73070Raviart, P. A.; Thomas, J. M. 5 1979 Finite element methods and Navier-Stokes equations. Zbl 0403.76039Raviart, P. A. 1 1979 Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077Brezzi, Franco; Hager, William W.; Raviart, P. A. 50 1978 Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035Crouzeix, M.; Raviart, P. A. 12 1978 A mixed finite element method for 2nd order elliptic problems. Zbl 0362.65089Raviart, P. A.; Thomas, J. M. 504 1977 Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082Raviart, P. A.; Thomas, J. M. 126 1977 Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030Brezzi, Franco; Hager, William W.; Raviart, P. A. 114 1977 Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085Brezzi, F.; Raviart, P. A. 55 1977 Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064Crouzeix, Michel; Raviart, Pierre-Arnaud 8 1976 Hybrid finite element methods for solving 2nd order elliptic equations. Zbl 0339.65061Raviart, P. A. 13 1975 Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087Crouzeix, M.; Raviart, P.-A. 534 1974 On a finite element method for solving the neutron transport equation. Zbl 0341.65076Lasaint, P.; Raviart, P. A. 122 1974 A mixed finite element method for the biharmonic equation. Zbl 0337.65058Ciarlet, P. G.; Raviart, P. A. 96 1974 Numerical solution of the stationary Navier-Stokes equations by finite element methods. Zbl 0285.76007Jamet, P.; Raviart, P. A. 17 1974 Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069Ciarlet, P. G.; Raviart, P.-A. 227 1973 The use of numerical integration in finite element methods for solving parabolic equations. Zbl 0293.65086Raviart, P. A. 19 1973 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004Ciarlet, P. G.; Raviart, P. A. 206 1972 Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079Ciarlet, P. G.; Raviart, P.-A. 110 1972 The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070Ciarlet, P. G.; Raviart, P.-A. 85 1972 Résolution numérique de certains problèmes hyperboliques non linéaires. Méthode de pseudo-viscosite. Zbl 0241.65065Raviart, P. A. 1 1971 Sur la résolution de certaines équations paraboliques non linéaires. Zbl 0199.42401Raviart, P. A. 60 1970 Sur la résolution numérique de l’équation \(\partial u/\partial t + u \partial u/\partial x - \epsilon(\partial/\partial x)(|\partial u/\partial x|\partial u/\partial x) = 0\). Zbl 0212.44101Raviart, P. A. 3 1970 Une méthode de résolution numérique des équations de Navier-Stokes. Zbl 0203.48403Jamet, P.; Lascaux, P.; Raviart, P. A. 1 1970 Sur une classe d’équations paraboliques non linéaires dégénérées. Zbl 0174.15602Raviart, P.-A. 1 1969 Sur l’approximation du problème de Dirichlet pour les opérateurs elliptiques d’ordre 2. Zbl 0236.35005Lebaud, G.; Raviart, P. A. 1 1969 Sur la résolution et l’approximation de certaines équations paraboliques non linéaires dégénérées. Zbl 0153.42202Raviart, P. A. 14 1967 Sur l’approximation de certaines équations d’évolution linéaires et non linéaires. Zbl 0198.49803Raviart, P. A. 11 1967 Sur l’approximation de certaines équations d’évolution linéaires et non linéaires. Zbl 0198.49901Raviart, P. A. 11 1967 Remarques sur la résolution, exacte et approchee,d’équations d’évolution paraboliques à coefficients non bornes. Zbl 0191.11601Lions, J.; Raviart, P. A. 1 1967 all cited Publications top 5 cited Publications all top 5 Cited by 5,814 Authors 89 He, Yinnian 54 Bernardi, Christine 50 Girault, Vivette 45 Gatica, Gabriel N. 41 Gunzburger, Max D. 41 Ye, Xiu 37 Li, Jian 36 Rui, Hongxing 35 Shang, Yueqiang 33 Nicaise, Serge 32 Berthon, Christophe 32 Hérard, Jean-Marc 31 Ciarlet, Patrick jun. 31 Raviart, Pierre-Arnaud 29 Chen, Zhangxin 29 Oyarzúa, Ricardo 28 Brezzi, Franco 27 Brenner, Susanne Cecelia 27 Nochetto, Ricardo Horacio 26 Chalons, Christophe 26 Quarteroni, Alfio M. 25 Carstensen, Carsten 25 Chen, Yanping 25 Duan, Huoyuan 25 Layton, William J. 25 Wheeler, Mary Fanett 24 Feng, Xinlong 24 Rodríguez, Rodolfo 24 Ruiz-Baier, Ricardo 24 Wang, Junping 24 Zhang, Shangyou 23 Barrenechea, Gabriel R. 23 Stenberg, Rolf 22 Assous, Franck 22 Chacón Rebollo, Tomás 22 Hiptmair, Ralf 22 Luo, Zhendong 22 Shi, Dongyang 21 Cockburn, Bernardo 21 Coquel, Frédéric 21 Degond, Pierre 21 Mora, David 21 Rebholz, Leo G. 21 Ruas, Vitoriano 21 Tobiska, Lutz 20 Burman, Erik 20 Ciarlet, Philippe Gaston 20 Ern, Alexandre 20 Guermond, Jean-Luc 20 Hecht, Frédéric 20 Latché, Jean-Claude 20 Maday, Yvon 20 Sonnendrücker, Eric 19 Bramble, James H. 19 Hansbo, Peter 19 Herbin, Raphaèle 19 Li, Kaitai 19 Xu, Jinchao 18 Glowinski, Roland 18 Guillén González, Francisco M. 18 Huang, Pengzhan 18 Hughes, Thomas J. 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Analyse Non Linéaire 10 Journal of Mathematical Imaging and Vision 10 Journal of Inequalities and Applications 10 Advances in Numerical Analysis 10 S\(\vec{\text{e}}\)MA Journal 9 International Journal of Engineering Science 9 Journal of Soviet Mathematics 9 Computational Optimization and Applications ...and 299 more Serials all top 5 Cited in 50 Fields 4,219 Numerical analysis (65-XX) 2,974 Fluid mechanics (76-XX) 2,906 Partial differential equations (35-XX) 756 Mechanics of deformable solids (74-XX) 412 Calculus of variations and optimal control; optimization (49-XX) 372 Optics, electromagnetic theory (78-XX) 181 Statistical mechanics, structure of matter (82-XX) 121 Classical thermodynamics, heat transfer (80-XX) 112 Approximations and expansions (41-XX) 100 Geophysics (86-XX) 100 Biology and other natural sciences (92-XX) 96 Operator theory (47-XX) 66 Ordinary differential equations (34-XX) 63 Functional analysis (46-XX) 60 Operations research, mathematical programming (90-XX) 59 Systems theory; control (93-XX) 52 Integral equations (45-XX) 48 Probability theory and stochastic processes (60-XX) 47 Global analysis, analysis on manifolds (58-XX) 40 Potential theory (31-XX) 35 Computer science (68-XX) 30 Real functions (26-XX) 21 Mechanics of particles and systems (70-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Information and communication theory, circuits (94-XX) 11 Astronomy and astrophysics (85-XX) 9 Functions of a complex variable (30-XX) 9 Difference and functional equations (39-XX) 9 Statistics (62-XX) 9 Relativity and gravitational theory (83-XX) 8 Special functions (33-XX) 8 Differential geometry (53-XX) 8 Quantum theory (81-XX) 7 Combinatorics (05-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Measure and integration (28-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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