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Raviart, Pierre-Arnaud

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 Series in Applied Mathematics (Paris)
1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
1 Mathématiques & Applications (Paris)
1 International Journal on Finite Volumes

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 10,143 times in 8,417 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
A mixed finite element method for 2nd order elliptic problems. Zbl 0362.65089
Raviart, P. A.; Thomas, J. M.
1977
Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081
Girault, V.; Raviart, P.-A.
757
1979
Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087
Crouzeix, M.; Raviart, P.-A.
630
1974
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
416
1979
Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075
Godlewski, Edwige; Raviart, Pierre-Arnaud
385
1996
On a finite element method for solving the neutron transport equation. Zbl 0341.65076
Lasaint, P.; Raviart, P. A.
352
1974
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
251
1973
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
225
2004
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
215
1972
Hyperbolic systems of conservation laws. Zbl 0768.35059
Godlewski, Edwige; Raviart, Pierre-Arnaud
204
1991
Introduction à l’analyse numérique des équations aux dérivées partielles. Zbl 0561.65069
Raviart, Pierre-Arnaud; Thomas, J. M.
197
1983
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
187
1980
Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082
Raviart, P. A.; Thomas, J. M.
135
1977
A mixed finite element method for the biharmonic equation. Zbl 0337.65058
Ciarlet, P. G.; Raviart, P. A.
129
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.
128
1977
Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079
Ciarlet, P. G.; Raviart, P.-A.
119
1972
Eigenvalue approximation by mixed and hybrid methods. Zbl 0472.65080
Mercier, B.; Osborn, J.; Rappaz, J.; Raviart, P. A.
108
1981
The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070
Ciarlet, P. G.; Raviart, P.-A.
101
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.
91
1993
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
86
1981
An analysis of particle methods. Zbl 0598.76003
Raviart, Pierre-Arnaud
78
1985
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
66
1977
Sur la résolution de certaines équations paraboliques non linéaires. Zbl 0199.42401
Raviart, P. A.
66
1970
Particle methods for the one-dimensional Vlasov-Poisson equations. Zbl 0549.65084
Cottet, G.-H.; Raviart, P.-A.
62
1984
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
59
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.
59
2012
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.
58
1978
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
55
1981
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
48
2010
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
48
1988
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.
36
1989
An analysis of the Darwin model of approximation to Maxwell’s equations. Zbl 0755.35137
Degond, Pierre; Raviart, Pierre-Arnaud
34
1992
A boundary-value problem for the stationary Vlasov-Poisson equations: The plane diode. Zbl 0721.35084
Greengard, Claude; Raviart, P.-A.
33
1990
The use of numerical integration in finite element methods for solving parabolic equations. Zbl 0293.65086
Raviart, P. A.
33
1973
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.
33
2016
A particle method for first-order symmetric systems. Zbl 0625.65084
Mas-Gallic, S.; Raviart, Pierre-Arnaud
32
1987
Finite element collocation methods for first order systems. Zbl 0417.65056
Lesaint, P.; Raviart, P. A.
29
1979
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
28
2005
A method of coupling nonlinear hyperbolic systems: examples in CFD and plasma physics. Zbl 1155.76374
Godlewski, E.; Raviart, P. A.
28
2005
A nonconservative hyperbolic system modeling spray dynamics. I: Solution of the Riemann problem. Zbl 0837.76089
Raviart, Pierre-Arnaud; Sainsaulieu, Lionel
27
1995
Two-scale expansion of a singularly perturbed convection equation. Zbl 1032.35026
Frénod, E.; Raviart, P.-A.; Sonnendrücker, E.
21
2001
A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122
Raviart, Pierre-Arnaud; Sonnendrücker, Eric
18
1996
The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. A general numerical approach. Zbl 1027.65124
Godlewski, Edwige; Raviart, Pierre-Arnaud
17
1999
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
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.
16
1999
Coupling of general Lagrangian systems. Zbl 1149.35380
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
15
2008
Sur la résolution et l’approximation de certaines équations paraboliques non linéaires dégénérées. Zbl 0153.42202
Raviart, P. A.
15
1967
Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035
Crouzeix, M.; Raviart, P. A.
14
1978
The interface coupling of the gas dynamics equations. Zbl 1157.76039
Chalons, Christophe; Raviart, Pierre-Arnaud; Seguin, Nicolas
14
2008
On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110
Degond, P.; Raviart, P. A.
14
1993
Relaxation methods and coupling procedures. Zbl 1384.65051
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
14
2008
Hybrid finite element methods for solving 2nd order elliptic equations. Zbl 0339.65061
Raviart, P. A.
12
1975
An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036
Girault, V.; Raviart, P.-A.
12
1982
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
11
2008
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 0198.49901
Raviart, P. A.
11
1967
Sur l’approximation de certaines équations d’évolution linéaires et non linéaires. Zbl 0198.49803
Raviart, P. A.
11
1967
Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064
Crouzeix, Michel; Raviart, Pierre-Arnaud
10
1976
On singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051
Ambroso, A.; Méhats, F.; Raviart, P. A.
10
2001
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.
10
1998
Paraxial approximation of ultrarelativistic intense beams. Zbl 0816.65119
Laval, G.; Mas-Gallic, S.; Raviart, P. A.
9
1994
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
9
2005
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
8
2010
Dual finite element models for second order elliptic problems. Zbl 0408.73070
Raviart, P. A.; Thomas, J. M.
7
1979
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.
7
1996
Numerical approximation of hyperbolic systems of conservation laws. 2nd edition. Zbl 1469.65007
Godlewski, Edwige; Raviart, Pierre-Arnaud
7
2021
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
6
2004
Asymptotic results for the linear stage of the Rayleigh-Taylor instability. Zbl 0984.35128
Cherfils Clérouin, Catherine; Lafitte, Olivier; Raviart, Pierre-Arnaud
6
2001
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
6
1999
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 coupling of homogeneous models for two-phase flows. Zbl 1490.76135
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Lagoutière, Frédéric; Raviart, Pierre-Arnaud; Seguin, Nicolas
6
2007
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.
5
2006
Approximate models for the Maxwell equations. Zbl 0862.65076
Raviart, Pierre-Arnau; Sonnendrücker, Eric
4
1995
On the numerical analysis of particle simulations in plasma physics. Zbl 0576.76127
Raviart, Pierre-Arnaud
4
1983
On an equilibrium finite element method for plate bending problems. Zbl 0456.73062
Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A.
4
1980
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.
4
1996
Nonconservative hyperbolic systems and two-phase flows. Zbl 0938.35575
Raviart, P.-A.; Sainsaulieu, L.
3
1993
Mathematical models of ion extraction and plasma sheaths. Zbl 0863.76095
Mas-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 0619.35074
Le Floch, Philippe; Raviart, Pierre-Arnaud
3
1987
Particle numerical models in fluid dynamics. Zbl 0606.76051
Raviart, Pierre-Arnaud
3
1986
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
Paraxial approximation of the stationary Vlasov-Maxwell equations. Zbl 0823.35149
Raviart, P. A.
3
1994
Approximate solution of the generalized Riemann problem and applications. Zbl 0644.65059
Bourgeade, A.; 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
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
2
1996
Une méthode de résolution numérique des équations de Navier-Stokes. Zbl 0203.48403
Jamet, P.; Lascaux, P.; Raviart, P. A.
2
1970
Vortex methods for the incompressible Euler and Navier-Stokes equations. Zbl 0676.76027
Cottet, G. H.; Mas-Gallic, S.; Raviart, Pierre-Arnaud
2
1988
A mathematical analysis of electric probe models. Zbl 0870.35082
Ben Abdallah, N.; Mas-Gallic, S.; Raviart, P. A.
1
1996
Particle approximation of first order systems. Zbl 0626.76077
Raviart, Pierre-Arnaud
1
1986
Coupling nonlinear hyperbolic systems: mathematical and numerical analysis. Zbl 1118.65354
Godlewski, Edwige; Raviart, Pierre-Arnaud
1
2002
Finite element methods and Navier-Stokes equations. Zbl 0403.76039
Raviart, P. A.
1
1979
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
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
Approximate models for Maxwell’s equations and applications. Zbl 0779.65084
Raviart, P. A.
1
1991
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 une classe d’équations paraboliques non linéaires dégénérées. Zbl 0174.15602
Raviart, P.-A.
1
1969
Remarques sur la résolution, exacte et approchée, d’équations d’évolution paraboliques à coefficients non bornés. Zbl 0191.11601
Lions, J.; Raviart, P. A.
1
1967
Numerical approximation of hyperbolic systems of conservation laws. 2nd edition. Zbl 1469.65007
Godlewski, Edwige; Raviart, Pierre-Arnaud
7
2021
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.
33
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.
59
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
48
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
8
2010
Coupling of general Lagrangian systems. Zbl 1149.35380
Ambroso, 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 1157.76039
Chalons, Christophe; Raviart, Pierre-Arnaud; Seguin, Nicolas
14
2008
Relaxation methods and coupling procedures. Zbl 1384.65051
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
14
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
11
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
The coupling of homogeneous models for two-phase flows. Zbl 1490.76135
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Godlewski, Edwige; Lagoutière, Frédéric; Raviart, Pierre-Arnaud; Seguin, Nicolas
6
2007
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.
5
2006
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
28
2005
A method of coupling nonlinear hyperbolic systems: examples in CFD and plasma physics. Zbl 1155.76374
Godlewski, E.; Raviart, P. A.
28
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
9
2005
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
225
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
6
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.
21
2001
On singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051
Ambroso, A.; Méhats, F.; Raviart, P. A.
10
2001
Asymptotic results for the linear stage of the Rayleigh-Taylor instability. Zbl 0984.35128
Cherfils Clérouin, Catherine; Lafitte, Olivier; Raviart, Pierre-Arnaud
6
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
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
The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. A general numerical approach. Zbl 1027.65124
Godlewski, Edwige; Raviart, Pierre-Arnaud
17
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.
16
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
6
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.
10
1998
Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075
Godlewski, Edwige; Raviart, Pierre-Arnaud
385
1996
A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122
Raviart, Pierre-Arnaud; Sonnendrücker, Eric
18
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.
7
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.
4
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
2
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
27
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.
9
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.
91
1993
On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110
Degond, P.; Raviart, P. A.
14
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
34
1992
Hyperbolic systems of conservation laws. Zbl 0768.35059
Godlewski, Edwige; Raviart, Pierre-Arnaud
204
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.
33
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.
36
1989
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
48
1988
Vortex methods for the incompressible Euler and Navier-Stokes equations. Zbl 0676.76027
Cottet, G. H.; Mas-Gallic, S.; Raviart, Pierre-Arnaud
2
1988
A particle method for first-order symmetric systems. Zbl 0625.65084
Mas-Gallic, S.; Raviart, Pierre-Arnaud
32
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
3
1987
Approximate solution of the generalized Riemann problem and applications. Zbl 0644.65059
Bourgeade, A.; 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 numerical models in fluid dynamics. Zbl 0606.76051
Raviart, Pierre-Arnaud
3
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
78
1985
Particle methods for the one-dimensional Vlasov-Poisson equations. Zbl 0549.65084
Cottet, G.-H.; Raviart, P.-A.
62
1984
Introduction à l’analyse numérique des équations aux dérivées partielles. Zbl 0561.65069
Raviart, Pierre-Arnaud; Thomas, J. M.
197
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.
108
1981
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
86
1981
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
59
1981
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
55
1981
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
187
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.
4
1980
Finite element approximation of the Navier-Stokes equations. Zbl 0413.65081
Girault, V.; Raviart, P.-A.
757
1979
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
416
1979
Finite element collocation methods for first order systems. Zbl 0417.65056
Lesaint, P.; Raviart, P. A.
29
1979
Dual finite element models for second order elliptic problems. Zbl 0408.73070
Raviart, P. A.; Thomas, J. M.
7
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.
58
1978
Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035
Crouzeix, M.; Raviart, P. A.
14
1978
A mixed finite element method for 2nd order elliptic problems. Zbl 0362.65089
Raviart, P. A.; Thomas, J. M.
1977
Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082
Raviart, P. A.; Thomas, J. M.
135
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.
128
1977
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
66
1977
Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064
Crouzeix, Michel; Raviart, Pierre-Arnaud
10
1976
Hybrid finite element methods for solving 2nd order elliptic equations. Zbl 0339.65061
Raviart, P. A.
12
1975
Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087
Crouzeix, M.; Raviart, P.-A.
630
1974
On a finite element method for solving the neutron transport equation. Zbl 0341.65076
Lasaint, P.; Raviart, P. A.
352
1974
A mixed finite element method for the biharmonic equation. Zbl 0337.65058
Ciarlet, P. G.; Raviart, P. A.
129
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.
251
1973
The use of numerical integration in finite element methods for solving parabolic equations. Zbl 0293.65086
Raviart, P. A.
33
1973
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
215
1972
Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079
Ciarlet, P. G.; Raviart, P.-A.
119
1972
The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070
Ciarlet, P. G.; Raviart, P.-A.
101
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.
66
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.
2
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
Sur une classe d’équations paraboliques non linéaires dégénérées. Zbl 0174.15602
Raviart, P.-A.
1
1969
Sur la résolution et l’approximation de certaines équations paraboliques non linéaires dégénérées. Zbl 0153.42202
Raviart, P. A.
15
1967
...and 3 more Documents
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Cited by 7,516 Authors

106 He, Yinnian
64 Gatica, Gabriel N.
64 Rui, Hongxing
58 Bernardi, Christine
52 Girault, Vivette
48 Shang, Yueqiang
47 Gunzburger, Max D.
46 Li, Jian
45 Rebholz, Leo Gregory
45 Ye, Xiu
43 Chen, Yanping
43 Nicaise, Serge
42 Ciarlet, Patrick jun.
38 Wheeler, Mary Fanett
37 Chen, Zhangxin
37 Hérard, Jean-Marc
36 Berthon, Christophe
36 Brenner, Susanne Cecelia
36 Ruiz-Baier, Ricardo
35 Duan, Huoyuan
34 Wang, Junping
34 Zhang, Shangyou
33 Carstensen, Carsten
33 Oyarzúa, Ricardo
32 Rodríguez, Rodolfo
31 Brezzi, Franco
31 Chalons, Christophe
31 Quarteroni, Alfio M.
31 Raviart, Pierre-Arnaud
30 Guermond, Jean-Luc
30 Mora, David
29 Cockburn, Bernardo
29 Feng, Xinlong
29 Luo, Zhendong
29 Nochetto, Ricardo Horacio
28 Ciarlet, Philippe Gaston
28 Layton, William J.
28 Shi, Dongyang
27 Ern, Alexandre
27 Huang, Pengzhan
26 Assous, Franck
26 Coquel, Frédéric
26 Huang, Yunqing
26 Olshanskii, Maxim A.
25 Bermúdez, Alfredo
25 Chacón Rebollo, Tomás
25 Li, Xiaoli
25 Ruas, Vitoriano
25 Stenberg, Rolf
24 Barrenechea, Gabriel R.
24 Burman, Erik
24 Degond, Pierre
24 Guillén González, Francisco M.
24 Herbin, Raphaèle
24 Hughes, Thomas J. R.
24 Kwak, Do Young
24 Schwab, Christoph
24 Shu, Chi-Wang
24 Sung, Li-Yeng
24 Xu, Jinchao
24 Yakoubi, Driss
24 Yang, Yidu
23 Chen, Jinru
23 Li, Kaitai
23 Maday, Yvon
23 Yotov, Ivan
23 Zou, Jun
22 Bochev, Pavel B.
22 Hecht, Frédéric
22 Hiptmair, Ralf
22 Hou, Yanren
22 Kaya, Songul
22 Kurganov, Alexander
22 Latché, Jean-Claude
22 Park, Eun-Jae
22 Sayah, Toni
22 Sonnendrücker, Eric
21 Abdulle, Assyr
21 Abgrall, Rémi
21 Hu, Jun
21 Mao, Shipeng
21 Monk, Peter B.
21 Tobiska, Lutz
20 Beirão da Veiga, Lourenço
20 Chorfi, Nejmeddine
20 Després, Bruno
20 Hansbo, Peter
20 John, Volker
20 Linke, Alexander
20 Mai Duc Thanh
20 Meddahi, Salim
20 Oden, John Tinsley
20 Salgado, Abner J.
20 Toro, Eleuterio Francisco
20 Valentin, Frédéric
19 Bramble, James H.
19 Cai, Zhiqiang
19 Feng, Minfu
19 Loula, Abimael Fernando Dourado
19 Mishra, Siddhartha
...and 7,416 more Authors
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Cited in 444 Serials

673 Computer Methods in Applied Mechanics and Engineering
579 Journal of Computational Physics
408 Journal of Computational and Applied Mathematics
391 Numerische Mathematik
361 Computers & Mathematics with Applications
336 Journal of Scientific Computing
311 Mathematics of Computation
287 Numerical Methods for Partial Differential Equations
251 Applied Numerical Mathematics
225 Applied Mathematics and Computation
189 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
179 SIAM Journal on Numerical Analysis
146 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
140 Journal of Mathematical Analysis and Applications
120 Mathematical Methods in the Applied Sciences
118 SIAM Journal on Scientific Computing
110 International Journal for Numerical Methods in Fluids
106 RAIRO. Modélisation Mathématique et Analyse Numérique
103 Computers and Fluids
94 Calcolo
85 Advances in Computational Mathematics
65 Comptes Rendus. Mathématique. Académie des Sciences, Paris
64 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
59 Applied Mathematics Letters
58 Mathematics and Computers in Simulation
58 RAIRO. Analyse Numérique
56 Numerical Functional Analysis and Optimization
56 Computational Methods in Applied Mathematics
53 International Journal for Numerical Methods in Engineering
47 Numerical Algorithms
44 Journal of Differential Equations
44 Computational Geosciences
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
38 Advances in Applied Mathematics and Mechanics
37 BIT
36 Communications in Computational Physics
34 Applicable Analysis
34 Archive for Rational Mechanics and Analysis
34 International Journal of Numerical Analysis and Modeling
33 Computing
32 International Journal of Computer Mathematics
31 Applications of Mathematics
30 Numerical Linear Algebra with Applications
29 Computational and Applied Mathematics
28 Applied Mathematics and Mechanics. (English Edition)
28 Japan Journal of Industrial and Applied Mathematics
28 Nonlinear Analysis. Real World Applications
28 Journal of Numerical Mathematics
27 Multiscale Modeling & Simulation
26 SIAM Journal on Mathematical Analysis
26 Science China. Mathematics
25 Aplikace Matematiky
25 Mathematical and Computer Modelling
25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
24 Computational Mechanics
24 Applied Mathematical Modelling
23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
23 Journal of Mathematical Fluid Mechanics
22 Nonlinear Analysis. Theory, Methods & Applications
21 Journal de Mathématiques Pures et Appliquées. Neuvième Série
21 Journal of Mathematical Sciences (New York)
21 Communications in Nonlinear Science and Numerical Simulation
21 Discrete and Continuous Dynamical Systems. Series B
20 Discrete and Continuous Dynamical Systems. Series S
19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 Applied Mathematics and Optimization
19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
19 International Journal on Finite Volumes
18 Mathematical Problems in Engineering
18 Boundary Value Problems
18 SMAI Journal of Computational Mathematics
17 Acta Mathematicae Applicatae Sinica. English Series
17 Abstract and Applied Analysis
17 Communications on Applied Mathematics and Computation
16 Computer Physics Communications
16 SIAM Journal on Control and Optimization
16 Journal of Applied Mathematics and Computing
15 Journal of Mathematical Physics
15 Physica D
15 Differential Equations
15 Foundations of Computational Mathematics
15 Journal of Applied Mathematics
15 Journal of Hyperbolic Differential Equations
14 Quarterly of Applied Mathematics
14 Communications in Partial Differential Equations
14 Journal of Inequalities and Applications
14 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
13 Acta Applicandae Mathematicae
13 Applied Mathematics. Series B (English Edition)
13 Engineering Analysis with Boundary Elements
13 Archives of Computational Methods in Engineering
13 Networks and Heterogeneous Media
12 International Journal of Engineering Science
12 Journal of Fluid Mechanics
12 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
12 Chinese Annals of Mathematics. Series B
12 Journal of Elasticity
12 Journal of Mathematical Imaging and Vision
12 Communications in Numerical Methods in Engineering
12 International Journal of Computational Fluid Dynamics
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Cited in 54 Fields

5,872 Numerical analysis (65-XX)
4,057 Fluid mechanics (76-XX)
3,978 Partial differential equations (35-XX)
1,018 Mechanics of deformable solids (74-XX)
541 Calculus of variations and optimal control; optimization (49-XX)
512 Optics, electromagnetic theory (78-XX)
245 Statistical mechanics, structure of matter (82-XX)
165 Classical thermodynamics, heat transfer (80-XX)
150 Geophysics (86-XX)
136 Biology and other natural sciences (92-XX)
135 Approximations and expansions (41-XX)
116 Operator theory (47-XX)
84 Systems theory; control (93-XX)
81 Operations research, mathematical programming (90-XX)
79 Functional analysis (46-XX)
79 Global analysis, analysis on manifolds (58-XX)
75 Ordinary differential equations (34-XX)
74 Probability theory and stochastic processes (60-XX)
65 Integral equations (45-XX)
58 Computer science (68-XX)
49 Potential theory (31-XX)
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34 Dynamical systems and ergodic theory (37-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
23 Statistics (62-XX)
22 Mechanics of particles and systems (70-XX)
19 Information and communication theory, circuits (94-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
17 Quantum theory (81-XX)
17 Astronomy and astrophysics (85-XX)
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15 Relativity and gravitational theory (83-XX)
12 Difference and functional equations (39-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Combinatorics (05-XX)
10 Functions of a complex variable (30-XX)
8 Special functions (33-XX)
7 Measure and integration (28-XX)
6 History and biography (01-XX)
4 General and overarching topics; collections (00-XX)
4 Integral transforms, operational calculus (44-XX)
4 Convex and discrete geometry (52-XX)
3 Algebraic geometry (14-XX)
3 Group theory and generalizations (20-XX)
3 General topology (54-XX)
2 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Manifolds and cell complexes (57-XX)
1 Number theory (11-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

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