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Raviart, Pierre-Arnaud

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Author ID: raviart.pierre-arnaud Recent zbMATH articles by "Raviart, Pierre-Arnaud"
Published as: Raviart, P. A.; Raviart, Pierre-Arnaud; Raviart, P.-A.; Raviart, Pierre-Arnau; Raviart, Pierre A.
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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)

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 7,059 times in 5,932 Documents Cited by Year
Finite element methods for Navier-Stokes equations. Theory and algorithms. (Extended version of the 1979 publ.). Zbl 0585.65077
Girault, Vivette; Raviart, Pierre-Arnaud
1986
Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081
Girault, V.; Raviart, P.-A.
633
1979
Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087
Crouzeix, M.; Raviart, P.-A.
503
1974
A mixed finite element method for 2nd order elliptic problems. Zbl 0362.65089
Raviart, P. A.; Thomas, J. M.
482
1977
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
398
1979
Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075
Godlewski, Edwige; Raviart, Pierre-Arnaud
272
1996
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
220
1973
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
200
1972
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
187
2004
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
169
1980
Hyperbolic systems of conservation laws. Zbl 0768.35059
Godlewski, Edwige; Raviart, Pierre-Arnaud
150
1991
Introduction à l’analyse numérique des équations aux dérivées partielles. Zbl 0561.65069
Raviart, Pierre-Arnaud; Thomas, J. M.
124
1983
Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082
Raviart, P. A.; Thomas, J. M.
119
1977
On a finite element method for solving the neutron transport equation. Zbl 0341.65076
Lasaint, P.; Raviart, P. A.
117
1974
Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030
Brezzi, Franco; Hager, William W.; Raviart, P. A.
110
1977
Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079
Ciarlet, P. G.; Raviart, P.-A.
109
1972
A mixed finite element method for the biharmonic equation. Zbl 0337.65058
Ciarlet, P. G.; Raviart, P. A.
88
1974
Eigenvalue approximation by mixed and hybrid methods. Zbl 0472.65080
Mercier, B.; Osborn, J.; Rappaz, J.; Raviart, P. A.
86
1981
The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070
Ciarlet, P. G.; Raviart, P.-A.
83
1972
On a finite-element method for solving the three-dimensional Maxwell equations. Zbl 0795.65087
Assous, F.; Degond, P.; Heintze, E.; Raviart, P. A.; Segre, J.
76
1993
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
60
1981
Sur la résolution de certaines équations paraboliques non linéaires. Zbl 0199.42401
Raviart, P. A.
58
1970
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
57
1981
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
53
1977
Particle methods for the one-dimensional Vlasov-Poisson equations. Zbl 0549.65084
Cottet, G.-H.; Raviart, P.-A.
51
1984
Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077
Brezzi, Franco; Hager, William W.; Raviart, P. A.
50
1978
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
50
1981
A Godunov-type method for the seven-equation model of compressible two-phase flow. Zbl 1291.76212
Ambroso, A.; Chalons, C.; Raviart, P.-A.
46
2012
Godunov-type schemes for hyperbolic systems with parameter-dependent source: the case of Euler system with friction. Zbl 1213.35034
Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas
36
2010
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
32
1988
A boundary-value problem for the stationary Vlasov-Poisson equations: The plane diode. Zbl 0721.35084
Greengard, Claude; Raviart, P.-A.
30
1990
A particle method for first-order symmetric systems. Zbl 0625.65084
Mas-Gallic, S.; Raviart, Pierre-Arnaud
29
1987
Finite element collocation methods for first order systems. Zbl 0417.65056
Lesaint, P.; Raviart, P. A.
28
1979
An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics. Zbl 0703.35106
Bourgeade, A.; Le Floch, Ph.; Raviart, P. A.
28
1989
A method of coupling nonlinear hyperbolic systems: examples in CFD and plasma physics. Zbl 1155.76374
Godlewski, E.; Raviart, P. A.
28
2005
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. II: The case of systems. Zbl 1095.65084
Godlewski, Edwige; Le Thanh, Kim-Claire; Raviart, Pierre-Arnaud
25
2005
A nonconservative hyperbolic system modeling spray dynamics. I: Solution of the Riemann problem. Zbl 0837.76089
Raviart, Pierre-Arnaud; Sainsaulieu, Lionel
24
1995
Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system. Zbl 1382.76183
Dellacherie, S.; Jung, J.; Omnes, P.; Raviart, P.-A.
23
2016
An analysis of the Darwin model of approximation to Maxwell’s equations. Zbl 0755.35137
Degond, Pierre; Raviart, Pierre-Arnaud
22
1992
The use of numerical integration in finite element methods for solving parabolic equations. Zbl 0293.65086
Raviart, P. A.
19
1973
Two-scale expansion of a singularly perturbed convection equation. Zbl 1032.35026
Frénod, E.; Raviart, P.-A.; Sonnendrücker, E.
19
2001
Numerical solution of the stationary Navier-Stokes equations by finite element methods. Zbl 0285.76007
Jamet, P.; Raviart, P. A.
17
1974
An asymptotic analysis of the one-dimensional Vlasov-Poisson system: The Child-Langmuir law. Zbl 0840.35082
Degond, P.; Raviart, P. A.
16
1991
The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. A general numerical approach. Zbl 1027.65124
Godlewski, Edwige; Raviart, Pierre-Arnaud
15
1999
A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122
Raviart, Pierre-Arnaud; Sonnendrücker, Eric
15
1996
An analysis of particle methods. Zbl 0598.76003
Raviart, Pierre-Arnaud
14
1985
Sur la résolution et l’approximation de certaines équations paraboliques non linéaires dégénérées. Zbl 0153.42202
Raviart, P. A.
14
1967
Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169
Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E.
14
1999
Hybrid finite element methods for solving 2nd order elliptic equations. Zbl 0339.65061
Raviart, P. A.
13
1975
Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035
Crouzeix, M.; Raviart, P. A.
12
1978
An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036
Girault, V.; Raviart, P.-A.
12
1982
Coupling of general Lagrangian systems. Zbl 1149.35380
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
12
2008
Relaxation methods and coupling procedures. Zbl 1384.65051
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
12
2008
On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110
Degond, P.; Raviart, P. A.
12
1993
Study of an implicit scheme for integrating Maxwell’s equations. Zbl 0433.73067
Adam, 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 0198.49803
Raviart, P. A.
11
1967
Sur l’approximation de certaines équations d’évolution linéaires et non linéaires. Zbl 0198.49901
Raviart, P. A.
11
1967
The interface coupling of the gas dynamics equations. Zbl 1157.76039
Chalons, Christophe; Raviart, Pierre-Arnaud; Seguin, Nicolas
11
2008
On the linearization of hyperbolic systems of conservation laws. Application to stability. Zbl 0912.35103
Godlewski, Edwige; Olazabal, Marina; Raviart, Pierre-Arnaud
10
1998
The drift-flux asymptotic limit of barotropic two-phase two-pressure models. Zbl 1141.76065
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas
10
2008
Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064
Crouzeix, Michel; Raviart, Pierre-Arnaud
8
1976
On singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051
Ambroso, A.; Méhats, F.; Raviart, P. A.
7
2001
Paraxial approximation of ultrarelativistic intense beams. Zbl 0816.65119
Laval, G.; Mas-Gallic, S.; Raviart, P. A.
7
1994
Existence result for the coupling problem of two scalar conservation laws with Riemann initial data. Zbl 1211.35017
Boutin, Benjamin; Chalons, Christophe; Raviart, Pierre-Arnaud
6
2010
Homogeneous models with phase transition: coupling by finite volume methods. Zbl 1374.76108
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Lagoutière, Frédéric; Raviart, Pierre-Arnaud; Seguin, Nicolas
6
2005
Modeling of collisions. Summer school, Saint-Malo, France, September 1994. Zbl 0924.76002
Decoster, A.; Markowich, P. A.; Perthame, B.
6
1998
A relaxation method for the coupling of systems of conservation laws. Zbl 1140.35515
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
6
2008
The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. I: Statement of the problem and basic estimates. Zbl 0844.35086
Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A.
6
1996
Dual finite element models for second order elliptic problems. Zbl 0408.73070
Raviart, P. A.; Thomas, J. M.
5
1979
On the linearization of systems of conservation laws for fluids at a material contact discontinuity. Zbl 0968.76073
Godlewski, Edwige; Olazabal, Marina; Raviart, Pierre-Arnaud
5
1999
Asymptotic results for the linear stage of the Rayleigh-Taylor instability. Zbl 0984.35128
Cherfils Clérouin, Catherine; Lafitte, Olivier; Raviart, Pierre-Arnaud
5
2001
On the numerical analysis of particle simulations in plasma physics. Zbl 0576.76127
Raviart, Pierre-Arnaud
4
1983
A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed planar-symmetric flows of gas dynamics. Zbl 1107.76367
Clarisse, Jean-Marie; Jaouen, Stéphane; Raviart, Pierre-Arnaud
4
2004
Approximate models for the Maxwell equations. Zbl 0862.65076
Raviart, Pierre-Arnau; Sonnendrücker, Eric
4
1995
Nonconservative hyperbolic systems and two-phase flows. Zbl 0938.35575
Raviart, P.-A.; Sainsaulieu, L.
3
1993
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 0212.44101
Raviart, P. A.
3
1970
On an equilibrium finite element method for plate bending problems. Zbl 0456.73062
Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A.
3
1980
Mathematical models of ion extraction and plasma sheaths. Zbl 0863.76095
Mas-Gallic, S.; Raviart, P. A.
3
1994
Extension of interface coupling to general Lagrangian systems. Zbl 1278.76099
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
3
2006
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 0844.35087
Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A.
3
1996
Paraxial approximation of the stationary Vlasov-Maxwell equations. Zbl 0823.35149
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 0619.35074
Le Floch, Philippe; Raviart, Pierre-Arnaud
2
1987
Analysis and asymptotics of a one-dimensional ion extraction model. Zbl 0829.76096
Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud
2
1995
Particle approximation of first order systems. Zbl 0626.76077
Raviart, Pierre-Arnaud
1
1986
Vortex methods for the incompressible Euler and Navier-Stokes equations. Zbl 0676.76027
Cottet, G. H.; Mas-Gallic, S.; Raviart, Pierre-Arnaud
1
1988
Finite element methods and Navier-Stokes equations. Zbl 0403.76039
Raviart, P. A.
1
1979
An asymptotic preserving scheme for Euler equations with gravity and friction. Zbl 1374.76165
Coquel, Frédéric; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas
1
2008
Coupling nonlinear hyperbolic systems: mathematical and numerical analysis. Zbl 1118.65354
Godlewski, Edwige; Raviart, Pierre-Arnaud
1
2002
Construction of a Roe linearization for the ideal MHD equations. (Construction d’une linéarisée de Roe pour les équations de la MHD idéale.) Zbl 0873.76094
Cargo, Patricia; Gallice, Gérard; Raviart, Pierre-Arnaud
1
1996
Sur une classe d’équations paraboliques non linéaires dégénérées. Zbl 0174.15602
Raviart, P.-A.
1
1969
Remarques sur la résolution, exacte et approchee,d’équations d’évolution paraboliques à coefficients non bornes. Zbl 0191.11601
Lions, J.; Raviart, P. A.
1
1967
Une méthode de résolution numérique des équations de Navier-Stokes. Zbl 0203.48403
Jamet, P.; Lascaux, P.; Raviart, P. A.
1
1970
Sur l’approximation du problème de Dirichlet pour les opérateurs elliptiques d’ordre 2. Zbl 0236.35005
Lebaud, G.; Raviart, P. A.
1
1969
Résolution numérique de certains problèmes hyperboliques non linéaires. Méthode de pseudo-viscosite. Zbl 0241.65065
Raviart, P. A.
1
1971
A mathematical analysis of electric probe models. Zbl 0870.35082
Ben Abdallah, N.; Mas-Gallic, S.; Raviart, P. A.
1
1996
Asymptotic analysis of an ion extraction model. (Analyse asymptotique d’un modèle d’extraction d’ions.) Zbl 0773.34043
Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud
1
1993
Approximate models for Maxwell’s equations and applications. Zbl 0779.65084
Raviart, P. A.
1
1991
A Godunov-type method for studying the linearised stability of a flow. Application to the Richtmyer-Meshkov instability. Zbl 0989.65105
Godlewski, 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 1004.82016
Ambroso, Annalisa; Fleury, Xavier; Lucquin-Desreux, Brigitte; Raviart, Pierre-Arnaud
1
2001
Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system. Zbl 1382.76183
Dellacherie, S.; Jung, J.; Omnes, P.; Raviart, P.-A.
23
2016
A Godunov-type method for the seven-equation model of compressible two-phase flow. Zbl 1291.76212
Ambroso, A.; Chalons, C.; Raviart, P.-A.
46
2012
Godunov-type schemes for hyperbolic systems with parameter-dependent source: the case of Euler system with friction. Zbl 1213.35034
Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas
36
2010
Existence result for the coupling problem of two scalar conservation laws with Riemann initial data. Zbl 1211.35017
Boutin, Benjamin; Chalons, Christophe; Raviart, Pierre-Arnaud
6
2010
Coupling of general Lagrangian systems. Zbl 1149.35380
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
12
2008
Relaxation methods and coupling procedures. Zbl 1384.65051
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
12
2008
The interface coupling of the gas dynamics equations. Zbl 1157.76039
Chalons, Christophe; Raviart, Pierre-Arnaud; Seguin, Nicolas
11
2008
The drift-flux asymptotic limit of barotropic two-phase two-pressure models. Zbl 1141.76065
Ambroso, 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 1140.35515
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
6
2008
An asymptotic preserving scheme for Euler equations with gravity and friction. Zbl 1374.76165
Coquel, Frédéric; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas
1
2008
Extension of interface coupling to general Lagrangian systems. Zbl 1278.76099
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
3
2006
A method of coupling nonlinear hyperbolic systems: examples in CFD and plasma physics. Zbl 1155.76374
Godlewski, E.; Raviart, P. A.
28
2005
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. II: The case of systems. Zbl 1095.65084
Godlewski, Edwige; Le Thanh, Kim-Claire; Raviart, Pierre-Arnaud
25
2005
Homogeneous models with phase transition: coupling by finite volume methods. Zbl 1374.76108
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Lagoutière, Frédéric; Raviart, Pierre-Arnaud; Seguin, Nicolas
6
2005
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
187
2004
A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed planar-symmetric flows of gas dynamics. Zbl 1107.76367
Clarisse, Jean-Marie; Jaouen, Stéphane; Raviart, Pierre-Arnaud
4
2004
Coupling nonlinear hyperbolic systems: mathematical and numerical analysis. Zbl 1118.65354
Godlewski, Edwige; Raviart, Pierre-Arnaud
1
2002
Two-scale expansion of a singularly perturbed convection equation. Zbl 1032.35026
Frénod, E.; Raviart, P.-A.; Sonnendrücker, E.
19
2001
On singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051
Ambroso, A.; Méhats, F.; Raviart, P. A.
7
2001
Asymptotic results for the linear stage of the Rayleigh-Taylor instability. Zbl 0984.35128
Cherfils 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 0989.65105
Godlewski, 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 1004.82016
Ambroso, 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 1027.65124
Godlewski, Edwige; Raviart, Pierre-Arnaud
15
1999
Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169
Assous, 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 0968.76073
Godlewski, Edwige; Olazabal, Marina; Raviart, Pierre-Arnaud
5
1999
On the linearization of hyperbolic systems of conservation laws. Application to stability. Zbl 0912.35103
Godlewski, Edwige; Olazabal, Marina; Raviart, Pierre-Arnaud
10
1998
Modeling of collisions. Summer school, Saint-Malo, France, September 1994. Zbl 0924.76002
Decoster, A.; Markowich, P. A.; Perthame, B.
6
1998
Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075
Godlewski, Edwige; Raviart, Pierre-Arnaud
272
1996
A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122
Raviart, 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 0844.35086
Degond, 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 0844.35087
Degond, 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 0873.76094
Cargo, Patricia; Gallice, Gérard; Raviart, Pierre-Arnaud
1
1996
A mathematical analysis of electric probe models. Zbl 0870.35082
Ben Abdallah, N.; Mas-Gallic, S.; Raviart, P. A.
1
1996
A nonconservative hyperbolic system modeling spray dynamics. I: Solution of the Riemann problem. Zbl 0837.76089
Raviart, Pierre-Arnaud; Sainsaulieu, Lionel
24
1995
Approximate models for the Maxwell equations. Zbl 0862.65076
Raviart, Pierre-Arnau; Sonnendrücker, Eric
4
1995
Analysis and asymptotics of a one-dimensional ion extraction model. Zbl 0829.76096
Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud
2
1995
Paraxial approximation of ultrarelativistic intense beams. Zbl 0816.65119
Laval, G.; Mas-Gallic, S.; Raviart, P. A.
7
1994
Mathematical models of ion extraction and plasma sheaths. Zbl 0863.76095
Mas-Gallic, S.; Raviart, P. A.
3
1994
Paraxial approximation of the stationary Vlasov-Maxwell equations. Zbl 0823.35149
Raviart, P. A.
3
1994
On a finite-element method for solving the three-dimensional Maxwell equations. Zbl 0795.65087
Assous, F.; Degond, P.; Heintze, E.; Raviart, P. A.; Segre, J.
76
1993
On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110
Degond, P.; Raviart, P. A.
12
1993
Nonconservative hyperbolic systems and two-phase flows. Zbl 0938.35575
Raviart, P.-A.; Sainsaulieu, L.
3
1993
Asymptotic analysis of an ion extraction model. (Analyse asymptotique d’un modèle d’extraction d’ions.) Zbl 0773.34043
Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud
1
1993
An analysis of the Darwin model of approximation to Maxwell’s equations. Zbl 0755.35137
Degond, Pierre; Raviart, Pierre-Arnaud
22
1992
Hyperbolic systems of conservation laws. Zbl 0768.35059
Godlewski, Edwige; Raviart, Pierre-Arnaud
150
1991
An asymptotic analysis of the one-dimensional Vlasov-Poisson system: The Child-Langmuir law. Zbl 0840.35082
Degond, P.; Raviart, P. A.
16
1991
Approximate models for Maxwell’s equations and applications. Zbl 0779.65084
Raviart, P. A.
1
1991
A boundary-value problem for the stationary Vlasov-Poisson equations: The plane diode. Zbl 0721.35084
Greengard, 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 0703.35106
Bourgeade, A.; Le Floch, Ph.; Raviart, P. A.
28
1989
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
32
1988
Vortex methods for the incompressible Euler and Navier-Stokes equations. Zbl 0676.76027
Cottet, G. H.; Mas-Gallic, S.; Raviart, Pierre-Arnaud
1
1988
A particle method for first-order symmetric systems. Zbl 0625.65084
Mas-Gallic, S.; Raviart, Pierre-Arnaud
29
1987
Un développement asymptotique pour la solution du problème de Riemann généralisé. (An asymptotic expansion for the solution of the generalized Riemann problem). Zbl 0619.35074
Le Floch, Philippe; Raviart, Pierre-Arnaud
2
1987
Finite element methods for Navier-Stokes equations. Theory and algorithms. (Extended version of the 1979 publ.). Zbl 0585.65077
Girault, Vivette; Raviart, Pierre-Arnaud
1986
Particle approximation of first order systems. Zbl 0626.76077
Raviart, Pierre-Arnaud
1
1986
An analysis of particle methods. Zbl 0598.76003
Raviart, Pierre-Arnaud
14
1985
Particle methods for the one-dimensional Vlasov-Poisson equations. Zbl 0549.65084
Cottet, G.-H.; Raviart, P.-A.
51
1984
Introduction à l’analyse numérique des équations aux dérivées partielles. Zbl 0561.65069
Raviart, Pierre-Arnaud; Thomas, J. M.
124
1983
On the numerical analysis of particle simulations in plasma physics. Zbl 0576.76127
Raviart, Pierre-Arnaud
4
1983
An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036
Girault, V.; Raviart, P.-A.
12
1982
Eigenvalue approximation by mixed and hybrid methods. Zbl 0472.65080
Mercier, B.; Osborn, J.; Rappaz, J.; Raviart, P. A.
86
1981
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
60
1981
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
57
1981
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
50
1981
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
169
1980
Study of an implicit scheme for integrating Maxwell’s equations. Zbl 0433.73067
Adam, J. C.; Gourdin Serveniere, A.; Nedelec, J. C.; Raviart, P. A.
11
1980
On an equilibrium finite element method for plate bending problems. Zbl 0456.73062
Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A.
3
1980
Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081
Girault, V.; Raviart, P.-A.
633
1979
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
398
1979
Finite element collocation methods for first order systems. Zbl 0417.65056
Lesaint, P.; Raviart, P. A.
28
1979
Dual finite element models for second order elliptic problems. Zbl 0408.73070
Raviart, P. A.; Thomas, J. M.
5
1979
Finite element methods and Navier-Stokes equations. Zbl 0403.76039
Raviart, P. A.
1
1979
Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077
Brezzi, Franco; Hager, William W.; Raviart, P. A.
50
1978
Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035
Crouzeix, M.; Raviart, P. A.
12
1978
A mixed finite element method for 2nd order elliptic problems. Zbl 0362.65089
Raviart, P. A.; Thomas, J. M.
482
1977
Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082
Raviart, P. A.; Thomas, J. M.
119
1977
Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030
Brezzi, Franco; Hager, William W.; Raviart, P. A.
110
1977
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
53
1977
Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064
Crouzeix, Michel; Raviart, Pierre-Arnaud
8
1976
Hybrid finite element methods for solving 2nd order elliptic equations. Zbl 0339.65061
Raviart, P. A.
13
1975
Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087
Crouzeix, M.; Raviart, P.-A.
503
1974
On a finite element method for solving the neutron transport equation. Zbl 0341.65076
Lasaint, P.; Raviart, P. A.
117
1974
A mixed finite element method for the biharmonic equation. Zbl 0337.65058
Ciarlet, P. G.; Raviart, P. A.
88
1974
Numerical solution of the stationary Navier-Stokes equations by finite element methods. Zbl 0285.76007
Jamet, P.; Raviart, P. A.
17
1974
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
220
1973
The use of numerical integration in finite element methods for solving parabolic equations. Zbl 0293.65086
Raviart, P. A.
19
1973
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
200
1972
Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079
Ciarlet, P. G.; Raviart, P.-A.
109
1972
The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070
Ciarlet, P. G.; Raviart, P.-A.
83
1972
Résolution numérique de certains problèmes hyperboliques non linéaires. Méthode de pseudo-viscosite. Zbl 0241.65065
Raviart, P. A.
1
1971
Sur la résolution de certaines équations paraboliques non linéaires. Zbl 0199.42401
Raviart, P. A.
58
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 0212.44101
Raviart, P. A.
3
1970
Une méthode de résolution numérique des équations de Navier-Stokes. Zbl 0203.48403
Jamet, P.; Lascaux, P.; Raviart, P. A.
1
1970
Sur une classe d’équations paraboliques non linéaires dégénérées. Zbl 0174.15602
Raviart, P.-A.
1
1969
Sur l’approximation du problème de Dirichlet pour les opérateurs elliptiques d’ordre 2. Zbl 0236.35005
Lebaud, G.; Raviart, P. A.
1
1969
Sur la résolution et l’approximation de certaines équations paraboliques non linéaires dégénérées. Zbl 0153.42202
Raviart, P. A.
14
1967
Sur l’approximation de certaines équations d’évolution linéaires et non linéaires. Zbl 0198.49803
Raviart, P. A.
11
1967
Sur l’approximation de certaines équations d’évolution linéaires et non linéaires. Zbl 0198.49901
Raviart, P. A.
11
1967
Remarques sur la résolution, exacte et approchee,d’équations d’évolution paraboliques à coefficients non bornes. Zbl 0191.11601
Lions, J.; Raviart, P. A.
1
1967
all top 5

Cited by 5,554 Authors

88 He, Yinnian
54 Bernardi, Christine
49 Girault, Vivette
44 Gatica, Gabriel N.
40 Gunzburger, Max D.
35 Rui, Hongxing
34 Ye, Xiu
33 Li, Jian
33 Nicaise, Serge
31 Ciarlet, Patrick jun.
31 Shang, Yueqiang
30 Hérard, Jean-Marc
30 Raviart, Pierre-Arnaud
28 Brezzi, Franco
27 Berthon, Christophe
27 Brenner, Susanne Cecelia
27 Chen, Zhangxin
27 Nochetto, Ricardo Horacio
26 Oyarzúa, Ricardo
26 Quarteroni, Alfio M.
26 Wheeler, Mary Fanett
25 Chen, Yanping
25 Layton, William J.
24 Rodríguez, Rodolfo
23 Barrenechea, Gabriel R.
23 Carstensen, Carsten
23 Chalons, Christophe
23 Feng, Xinlong
22 Assous, Franck
22 Chacón Rebollo, Tomás
22 Duan, Huoyuan
22 Luo, Zhendong
22 Shi, Dongyang
22 Stenberg, Rolf
21 Cockburn, Bernardo
21 Degond, Pierre
21 Hiptmair, Ralf
21 Rebholz, Leo G.
21 Ruas, Vitoriano
21 Tobiska, Lutz
21 Wang, Junping
21 Zhang, Shangyou
20 Burman, Erik
20 Ciarlet, Philippe Gaston
20 Coquel, Frédéric
20 Maday, Yvon
20 Sonnendrücker, Eric
19 Bramble, James H.
19 Hecht, Frédéric
19 Li, Kaitai
19 Xu, Jinchao
18 Guermond, Jean-Luc
18 Guillén González, Francisco M.
18 Hansbo, Peter
18 Herbin, Raphaèle
18 Hughes, Thomas J. R.
18 Latché, Jean-Claude
18 Meddahi, Salim
18 Mora, David
18 Schwab, Christoph
18 Valentin, Frédéric
17 Bermúdez, Alfredo
17 Feistauer, Miloslav
17 Glowinski, Roland
17 John, Volker
17 Loula, Abimael Fernando Dourado
17 Oden, John Tinsley
17 Xie, Hehu
17 Yang, Yidu
17 Zhu, Jiang
17 Zou, Jun
16 Barrett, John W.
16 Douglas, Jim jun.
16 Hu, Jun
16 Linke, Alexander
16 Ma, Yichen
16 Matthies, Gunar
16 Mishra, Siddhartha
16 Pironneau, Olivier
16 Ruiz-Baier, Ricardo
16 Toro, Eleuterio F.
15 Beirão da Veiga, Lourenço
15 Cai, Zhiqiang
15 Codina, Ramon
15 Dumbser, Michael
15 Godlewski, Edwige
15 Huang, Yunqing
15 Korotov, Sergey
15 Kwak, Do Young
15 Lee, Hyung-Chun
15 Mai Duc Thanh
15 Mao, Shipeng
15 Park, Eun-Jae
15 Pasciak, Joseph E.
15 Salgado, Abner J.
15 Sayas, Francisco-Javier
15 Shi, Zhongci
15 Tabata, Masahisa
15 Yang, Suh-Yuh
14 Ben Belgacem, Faker
...and 5,454 more Authors
all top 5

Cited in 387 Serials

456 Computer Methods in Applied Mechanics and Engineering
358 Journal of Computational Physics
355 Numerische Mathematik
280 Mathematics of Computation
280 Journal of Computational and Applied Mathematics
231 Journal of Scientific Computing
185 Computers & Mathematics with Applications
173 Numerical Methods for Partial Differential Equations
158 Applied Mathematics and Computation
157 Applied Numerical Mathematics
145 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
134 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
115 SIAM Journal on Numerical Analysis
106 RAIRO. Modélisation Mathématique et Analyse Numérique
95 International Journal for Numerical Methods in Fluids
93 Journal of Mathematical Analysis and Applications
84 Computers and Fluids
81 Mathematical Methods in the Applied Sciences
79 Calcolo
67 SIAM Journal on Scientific Computing
64 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
63 Advances in Computational Mathematics
58 RAIRO. Analyse Numérique
51 Numerical Functional Analysis and Optimization
42 International Journal for Numerical Methods in Engineering
41 Applied Mathematics Letters
33 Comptes Rendus. Mathématique. Académie des Sciences, Paris
32 Archive for Rational Mechanics and Analysis
32 Computing
32 Numerical Algorithms
30 BIT
28 Applied Mathematics and Mechanics. (English Edition)
28 Computational Geosciences
28 Computational Methods in Applied Mathematics
27 Journal of Differential Equations
26 Applications of Mathematics
25 Aplikace Matematiky
25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Japan Journal of Industrial and Applied Mathematics
24 Applicable Analysis
24 Mathematics and Computers in Simulation
23 Communications in Computational Physics
22 Numerical Linear Algebra with Applications
22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Mathematical and Computer Modelling
20 International Journal of Numerical Analysis and Modeling
20 Advances in Applied Mathematics and Mechanics
20 Science China. Mathematics
19 Journal of Mathematical Sciences (New York)
19 Multiscale Modeling & Simulation
18 International Journal of Computer Mathematics
18 Journal of Mathematical Fluid Mechanics
18 Nonlinear Analysis. Theory, Methods & Applications
17 Mathematical Problems in Engineering
16 SIAM Journal on Mathematical Analysis
16 Computational and Applied Mathematics
16 Abstract and Applied Analysis
15 Computational Mechanics
15 Nonlinear Analysis. Real World Applications
15 Discrete and Continuous Dynamical Systems. Series B
14 Applied Mathematics and Optimization
14 Acta Mathematicae Applicatae Sinica. English Series
14 Applied Mathematical Modelling
14 Communications in Partial Differential Equations
14 Discrete and Continuous Dynamical Systems. Series S
14 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Applied Mathematics. Series B (English Edition)
13 Journal of Applied Mathematics
13 Journal of Hyperbolic Differential Equations
12 Journal of Mathematical Physics
12 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
12 Quarterly of Applied Mathematics
12 SIAM Journal on Control and Optimization
12 Chinese Annals of Mathematics. Series B
12 Physica D
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Communications in Numerical Methods in Engineering
12 International Journal of Computational Fluid Dynamics
12 Differential Equations
12 Archives of Computational Methods in Engineering
12 SMAI Journal of Computational Mathematics
11 Transport Theory and Statistical Physics
11 Acta Applicandae Mathematicae
11 Journal of Numerical Mathematics
11 Journal of Applied Mathematics and Computing
11 Boundary Value Problems
10 Journal of Fluid Mechanics
10 Journal of Approximation Theory
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Journal of Elasticity
10 Journal of Inequalities and Applications
10 Advances in Numerical Analysis
9 International Journal of Engineering Science
9 Journal of Soviet Mathematics
9 Journal of Mathematical Imaging and Vision
9 Computational Optimization and Applications
9 Networks and Heterogeneous Media
9 Kinetic and Related Models
9 S\(\vec{\text{e}}\)MA Journal
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Cited in 51 Fields

4,002 Numerical analysis (65-XX)
2,807 Fluid mechanics (76-XX)
2,742 Partial differential equations (35-XX)
713 Mechanics of deformable solids (74-XX)
396 Calculus of variations and optimal control; optimization (49-XX)
354 Optics, electromagnetic theory (78-XX)
174 Statistical mechanics, structure of matter (82-XX)
117 Classical thermodynamics, heat transfer (80-XX)
106 Approximations and expansions (41-XX)
94 Geophysics (86-XX)
94 Biology and other natural sciences (92-XX)
90 Operator theory (47-XX)
66 Ordinary differential equations (34-XX)
61 Operations research, mathematical programming (90-XX)
60 Functional analysis (46-XX)
58 Systems theory; control (93-XX)
52 Integral equations (45-XX)
45 Probability theory and stochastic processes (60-XX)
44 Global analysis, analysis on manifolds (58-XX)
37 Computer science (68-XX)
35 Potential theory (31-XX)
22 Real functions (26-XX)
21 Mechanics of particles and systems (70-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
17 Dynamical systems and ergodic theory (37-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Information and communication theory, circuits (94-XX)
10 Astronomy and astrophysics (85-XX)
9 Functions of a complex variable (30-XX)
9 Difference and functional equations (39-XX)
9 Differential geometry (53-XX)
8 Combinatorics (05-XX)
8 Quantum theory (81-XX)
8 Relativity and gravitational theory (83-XX)
7 Special functions (33-XX)
7 Statistics (62-XX)
4 History and biography (01-XX)
4 Measure and integration (28-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-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)
3 Manifolds and cell complexes (57-XX)
2 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Integral transforms, operational calculus (44-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Mathematics education (97-XX)

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