×

zbMATH — the first resource for mathematics

Raviart, Pierre-Arnaud

Compute Distance To:
Author ID: raviart.pierre-arnaud Recent zbMATH articles by "Raviart, Pierre-Arnaud"
Published as: Raviart, P. A.; Raviart, P.-A.; Raviart, Pierre A.; Raviart, Pierre-Arnau; Raviart, Pierre-Arnaud
External Links: MGP · Wikidata · GND
Documents Indexed: 124 Publications since 1966, including 9 Books
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
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 Applied Mathematical Sciences
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

103 Publications have been cited 7,696 times in 5,900 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.
651
1979
A mixed finite element method for 2nd order elliptic problems. Zbl 0362.65089
Raviart, P. A.; Thomas, J. M.
540
1977
Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087
Crouzeix, M.; Raviart, P.-A.
442
1974
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
413
1979
Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075
Godlewski, Edwige; Raviart, Pierre-Arnaud
371
1996
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
201
1973
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
196
1972
Hyperbolic systems of conservation laws. Zbl 0768.35059
Godlewski, Edwige; Raviart, Pierre-Arnaud
182
1991
On a finite element method for solving the neutron transport equation. Zbl 0341.65076
Lasaint, P.; Raviart, P. A.
170
1974
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
168
2004
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
158
1980
Introduction à l’analyse numérique des équations aux dérivées partielles. Zbl 0561.65069
Raviart, Pierre-Arnaud; Thomas, J. M.
129
1983
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.
107
1977
Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082
Raviart, P. A.; Thomas, J. M.
107
1977
Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079
Ciarlet, P. G.; Raviart, P.-A.
102
1972
A mixed finite element method for the biharmonic equation. Zbl 0337.65058
Ciarlet, P. G.; Raviart, P. A.
90
1974
The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070
Ciarlet, P. G.; Raviart, P.-A.
87
1972
Eigenvalue approximation by mixed and hybrid methods. Zbl 0472.65080
Mercier, B.; Osborn, J.; Rappaz, J.; Raviart, P. A.
76
1981
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.
74
1993
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
67
1981
Sur la résolution de certaines équations paraboliques non linéaires. Zbl 0199.42401
Raviart, P. A.
55
1970
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
53
1981
Particle methods for the one-dimensional Vlasov-Poisson equations. Zbl 0549.65084
Cottet, G.-H.; Raviart, P.-A.
50
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
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
50
1977
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
46
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.
35
2012
An analysis of particle methods. Zbl 0598.76003
Raviart, Pierre-Arnaud
31
1985
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
30
1988
A particle method for first-order symmetric systems. Zbl 0625.65084
Mas-Gallic, S.; Raviart, Pierre-Arnaud
29
1987
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
28
2010
A method of coupling nonlinear hyperbolic systems: examples in CFD and plasma physics. Zbl 1155.76374
Godlewski, E.; Raviart, P. A.
28
2005
Finite element collocation methods for first order systems. Zbl 0417.65056
Lesaint, P.; Raviart, P. A.
28
1979
A boundary-value problem for the stationary Vlasov-Poisson equations: The plane diode. Zbl 0721.35084
Greengard, Claude; Raviart, P.-A.
27
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.
26
1989
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
24
2005
A nonconservative hyperbolic system modeling spray dynamics. I: Solution of the Riemann problem. Zbl 0837.76089
Raviart, Pierre-Arnaud; Sainsaulieu, Lionel
23
1995
An analysis of the Darwin model of approximation to Maxwell’s equations. Zbl 0755.35137
Degond, Pierre; Raviart, Pierre-Arnaud
21
1992
The use of numerical integration in finite element methods for solving parabolic equations. Zbl 0293.65086
Raviart, P. A.
21
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.
18
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
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.
15
2016
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.
15
1999
A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122
Raviart, Pierre-Arnaud; Sonnendrücker, Eric
14
1996
Coupling of general Lagrangian systems. Zbl 1149.35380
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
13
2008
Hybrid finite element methods for solving 2nd order elliptic equations. Zbl 0339.65061
Raviart, P. A.
13
1975
Sur la résolution et l’approximation de certaines équations paraboliques non linéaires dégénérées. Zbl 0153.42202
Raviart, P. A.
13
1967
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
An analysis of upwind schemes for the Navier-Stokes equations. Zbl 0487.76036
Girault, V.; Raviart, P.-A.
12
1982
Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035
Crouzeix, M.; Raviart, P. A.
12
1978
On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110
Degond, P.; Raviart, P. A.
11
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 0198.49901
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
The interface coupling of the gas dynamics equations. Zbl 1157.76039
Chalons, Christophe; Raviart, Pierre-Arnaud; Seguin, Nicolas
10
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
9
2008
Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064
Crouzeix, Michel; Raviart, Pierre-Arnaud
9
1976
On the numerical analysis of particle simulations in plasma physics. Zbl 0576.76127
Raviart, Pierre-Arnaud
8
1983
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.
7
2008
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
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 singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051
Ambroso, A.; Méhats, F.; Raviart, P. A.
6
2001
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
Paraxial approximation of ultrarelativistic intense beams. Zbl 0816.65119
Laval, G.; Mas-Gallic, S.; Raviart, P. A.
6
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
5
2010
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
Dual finite element models for second order elliptic problems. Zbl 0408.73070
Raviart, P. A.; Thomas, J. M.
5
1979
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
Modeling of collisions. Summer school, Saint-Malo, France, September 1994. Zbl 0924.76002
Decoster, A.; Markowich, P. A.; Perthame, B.; Raviart, Pierre-Arnaud (ed.)
4
1998
Approximate models for the Maxwell equations. Zbl 0862.65076
Raviart, Pierre-Arnau; Sonnendrücker, Eric
4
1995
Mathematical models of ion extraction and plasma sheaths. Zbl 0863.76095
Mas-Gallic, S.; Raviart, P. A.
4
1994
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
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
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
Analysis and asymptotics of a one-dimensional ion extraction model. Zbl 0829.76096
Ben Abdallah, Naoufel; Mas-Gallic, Sylvie; Raviart, Pierre-Arnaud
2
1995
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
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
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 the Maxwell equations. Zbl 0900.65355
Raviart, P.-A.; Sonnendrücker, E.
1
1996
A mathematical analysis of electric probe models. Zbl 0870.35082
Ben Abdallah, N.; Mas-Gallic, S.; Raviart, P. A.
1
1996
Construction of a Roe linearization for the ideal MHD equations. Zbl 0873.76094
Cargo, Patricia; Gallice, Gérard; Raviart, Pierre-Arnaud
1
1996
Numerical models for transport of charged particles. Zbl 0920.76071
Raviart, P. A.
1
1993
Asymptotic analysis of an ion extraction model. 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
Vortex methods for the incompressible Euler and Navier-Stokes equations. Zbl 0676.76027
Cottet, G. H.; Mas-Gallic, S.; Raviart, Pierre-Arnaud
1
1988
Approximate solution of the generalized Riemann problem and applications. Zbl 0644.65059
Bourgeade, A.; Le Floch, Philippe; Raviart, Pierre-Arnaud
1
1987
Particle approximation of first order systems. Zbl 0626.76077
Raviart, Pierre-Arnaud
1
1986
Particle numerical models in fluid dynamics. Zbl 0606.76051
Raviart, Pierre-Arnaud
1
1986
Finite element methods and Navier-Stokes equations. Zbl 0403.76039
Raviart, P. A.
1
1979
Résolution numérique de certains problèmes hyperboliques non linéaires. Méthode de pseudo-viscosite. Zbl 0241.65065
Raviart, P. A.
1
1971
Une méthode de résolution numérique des équations de Navier-Stokes. Zbl 0203.48403
Jamet, P.; Lascaux, P.; Raviart, P. A.
1
1970
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.
15
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.
35
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
28
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
5
2010
Coupling of general Lagrangian systems. Zbl 1149.35380
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N.
13
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
10
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
9
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.
7
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
24
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.
168
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
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 singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051
Ambroso, A.; Méhats, F.; Raviart, P. A.
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
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.
15
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.; Raviart, Pierre-Arnaud (ed.)
4
1998
Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075
Godlewski, Edwige; Raviart, Pierre-Arnaud
371
1996
A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122
Raviart, Pierre-Arnaud; Sonnendrücker, Eric
14
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
Approximate models for the Maxwell equations. Zbl 0900.65355
Raviart, P.-A.; Sonnendrücker, E.
1
1996
A mathematical analysis of electric probe models. Zbl 0870.35082
Ben Abdallah, N.; Mas-Gallic, S.; Raviart, P. A.
1
1996
Construction of a Roe linearization for the ideal MHD equations. Zbl 0873.76094
Cargo, Patricia; Gallice, Gérard; Raviart, Pierre-Arnaud
1
1996
A nonconservative hyperbolic system modeling spray dynamics. I: Solution of the Riemann problem. Zbl 0837.76089
Raviart, Pierre-Arnaud; Sainsaulieu, Lionel
23
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.
6
1994
Mathematical models of ion extraction and plasma sheaths. Zbl 0863.76095
Mas-Gallic, S.; Raviart, P. A.
4
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.
74
1993
On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110
Degond, P.; Raviart, P. A.
11
1993
Nonconservative hyperbolic systems and two-phase flows. Zbl 0938.35575
Raviart, P.-A.; Sainsaulieu, L.
3
1993
Numerical models for transport of charged particles. Zbl 0920.76071
Raviart, P. A.
1
1993
Asymptotic analysis of an ion extraction model. 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
21
1992
Hyperbolic systems of conservation laws. Zbl 0768.35059
Godlewski, Edwige; Raviart, Pierre-Arnaud
182
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.
27
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.
26
1989
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
30
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
Approximate solution of the generalized Riemann problem and applications. Zbl 0644.65059
Bourgeade, A.; Le Floch, Philippe; Raviart, Pierre-Arnaud
1
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
Particle numerical models in fluid dynamics. Zbl 0606.76051
Raviart, Pierre-Arnaud
1
1986
An analysis of particle methods. Zbl 0598.76003
Raviart, Pierre-Arnaud
31
1985
Particle methods for the one-dimensional Vlasov-Poisson equations. Zbl 0549.65084
Cottet, G.-H.; Raviart, P.-A.
50
1984
Introduction à l’analyse numérique des équations aux dérivées partielles. Zbl 0561.65069
Raviart, Pierre-Arnaud; Thomas, J. M.
129
1983
On the numerical analysis of particle simulations in plasma physics. Zbl 0576.76127
Raviart, Pierre-Arnaud
8
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.
76
1981
Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed. Zbl 0441.65081
Girault, V.; Raviart, P.-A.
67
1981
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
53
1981
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
46
1981
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
158
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.
651
1979
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
413
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.
540
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.
107
1977
Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082
Raviart, P. A.; Thomas, J. M.
107
1977
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
50
1977
Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064
Crouzeix, Michel; Raviart, Pierre-Arnaud
9
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.
442
1974
On a finite element method for solving the neutron transport equation. Zbl 0341.65076
Lasaint, P.; Raviart, P. A.
170
1974
A mixed finite element method for the biharmonic equation. Zbl 0337.65058
Ciarlet, P. G.; Raviart, P. A.
90
1974
Numerical solution of the stationary Navier-Stokes equations by finite element methods. Zbl 0285.76007
Jamet, P.; Raviart, P. A.
18
1974
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
201
1973
The use of numerical integration in finite element methods for solving parabolic equations. Zbl 0293.65086
Raviart, P. A.
21
1973
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
196
1972
Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079
Ciarlet, P. G.; Raviart, P.-A.
102
1972
The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070
Ciarlet, P. G.; Raviart, P.-A.
87
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.
55
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 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.
13
1967
...and 3 more Documents
all top 5

Cited by 5,733 Authors

89 He, Yinnian
56 Bernardi, Christine
48 Girault, Vivette
47 Gatica, Gabriel N.
44 Gunzburger, Max D.
37 Nicaise, Serge
35 Ciarlet, Patrick jun.
35 Li, Jian
35 Rui, Hongxing
33 Chen, Zhangxin
30 Hérard, Jean-Marc
30 Raviart, Pierre-Arnaud
30 Wheeler, Mary Fanett
30 Ye, Xiu
29 Brenner, Susanne Cecelia
28 Brezzi, Franco
27 Ciarlet, Philippe Gaston
27 Quarteroni, Alfio M.
27 Rebholz, Leo G.
26 Guermond, Jean-Luc
26 Shang, Yueqiang
25 Berthon, Christophe
25 Chen, Yanping
25 Nochetto, Ricardo Horacio
25 Rodríguez, Rodolfo
24 Duan, Huoyuan
24 Layton, William J.
23 Chacón Rebollo, Tomás
23 Shi, Dongyang
23 Stenberg, Rolf
22 Carstensen, Carsten
22 Chalons, Christophe
22 Li, Kaitai
22 Oyarzúa, Ricardo
22 Sonnendrücker, Eric
21 Barrenechea, Gabriel R.
21 Cockburn, Bernardo
21 Degond, Pierre
21 Feng, Xinlong
21 Luo, Zhendong
21 Ruas, Vitoriano
21 Tobiska, Lutz
20 Assous, Franck
20 Bermúdez, Alfredo
20 Hecht, Frédéric
20 Maday, Yvon
20 Wang, Junping
19 Bramble, James H.
19 Burman, Erik
19 Coquel, Frédéric
19 Hansbo, Peter
19 Hiptmair, Ralf
19 Zhang, Shangyou
19 Zou, Jun
18 Hughes, Thomas J. R.
18 Xu, Jinchao
18 Yang, Suh-Yuh
17 Barrett, John W.
17 Bochev, Pavel B.
17 Douglas, Jim jun.
17 Feistauer, Miloslav
17 Glowinski, Roland
17 Guillén González, Francisco M.
17 John, Volker
17 Linke, Alexander
17 Loula, Abimael Fernando Dourado
17 Ma, Yichen
17 Meddahi, Salim
17 Oden, John Tinsley
17 Olshanskii, Maxim A.
17 Schwab, Christoph
17 Xie, Hehu
17 Zhu, Jiang
16 Ern, Alexandre
16 Lee, Hyung-Chun
16 Mishra, Siddhartha
16 Monk, Peter B.
16 Pironneau, Olivier
16 Sayas, Francisco-Javier
15 Abdulle, Assyr
15 Baccouch, Mahboub
15 Ben Belgacem, Faker
15 Codina, Ramon
15 Demkowicz, Leszek F.
15 Dumbser, Michael
15 Ewing, Richard Edward
15 Huang, Yunqing
15 Korotov, Sergey
15 Kurganov, Alexander
15 Matthies, Gunar
15 Pasciak, Joseph E.
15 Ruiz-Baier, Ricardo
15 Salgado, Abner J.
15 Schötzau, Dominik
15 Sheen, Dongwoo
15 Shi, Zhongci
15 Tabata, Masahisa
15 Valentin, Frédéric
14 Amrouche, Chérif
14 Beirão da Veiga, Lourenço
...and 5,633 more Authors
all top 5

Cited in 368 Serials

503 Computer Methods in Applied Mechanics and Engineering
423 Journal of Computational Physics
342 Numerische Mathematik
320 Journal of Computational and Applied Mathematics
276 Mathematics of Computation
204 Journal of Scientific Computing
200 Computers & Mathematics with Applications
181 Applied Numerical Mathematics
177 Applied Mathematics and Computation
173 Numerical Methods for Partial Differential Equations
123 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
115 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
109 Journal of Mathematical Analysis and Applications
106 RAIRO. Modélisation Mathématique et Analyse Numérique
105 SIAM Journal on Numerical Analysis
95 International Journal for Numerical Methods in Fluids
85 Computers and Fluids
81 Mathematical Methods in the Applied Sciences
72 Calcolo
64 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
60 Comptes Rendus. Mathématique. Académie des Sciences, Paris
58 RAIRO. Analyse Numérique
55 SIAM Journal on Scientific Computing
52 Advances in Computational Mathematics
51 Numerical Functional Analysis and Optimization
46 Applied Mathematics Letters
42 International Journal for Numerical Methods in Engineering
36 Journal of Differential Equations
36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
32 Computing
30 Archive for Rational Mechanics and Analysis
28 Applied Mathematics and Mechanics. (English Edition)
27 Computational Methods in Applied Mathematics
25 Aplikace Matematiky
25 BIT
25 Mathematics and Computers in Simulation
25 Mathematical and Computer Modelling
25 Applications of Mathematics
25 Numerical Algorithms
25 Computational Geosciences
24 Japan Journal of Industrial and Applied Mathematics
23 Nonlinear Analysis. Real World Applications
22 Applicable Analysis
22 Numerical Linear Algebra with Applications
22 Nonlinear Analysis. Theory, Methods & Applications
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Journal of Mathematical Sciences (New York)
19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Applied Mathematical Modelling
17 Abstract and Applied Analysis
17 Science China. Mathematics
16 Mathematical Problems in Engineering
16 Multiscale Modeling & Simulation
15 Journal of Mathematical Physics
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Applied Mathematics and Optimization
14 Acta Mathematicae Applicatae Sinica. English Series
14 Computational Mechanics
14 Communications in Partial Differential Equations
14 International Journal of Computer Mathematics
14 Journal of Mathematical Fluid Mechanics
14 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
13 Physica D
13 Applied Mathematics. Series B (English Edition)
13 Journal of Applied Mathematics
13 Journal of Numerical Mathematics
13 Journal of Hyperbolic Differential Equations
13 Discrete and Continuous Dynamical Systems. Series S
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
12 Quarterly of Applied Mathematics
12 Chinese Annals of Mathematics. Series B
12 Communications in Numerical Methods in Engineering
12 Archives of Computational Methods in Engineering
11 Transport Theory and Statistical Physics
11 Engineering Analysis with Boundary Elements
11 Differential Equations
11 SMAI Journal of Computational Mathematics
10 International Journal of Engineering Science
10 Journal of Approximation Theory
10 SIAM Journal on Mathematical Analysis
10 Computational and Applied Mathematics
10 International Journal of Computational Fluid Dynamics
10 Discrete and Continuous Dynamical Systems. Series B
10 Journal of Applied Mathematics and Computing
10 Advances in Numerical Analysis
9 Journal of Fluid Mechanics
9 Journal of Soviet Mathematics
9 SIAM Journal on Control and Optimization
9 Acta Applicandae Mathematicae
8 Journal of Functional Analysis
8 Journal of Elasticity
8 Linear Algebra and its Applications
8 Computational Optimization and Applications
8 European Journal of Mechanics. B. Fluids
8 Networks and Heterogeneous Media
8 S\(\vec{\text{e}}\)MA Journal
7 Transactions of the American Mathematical Society
7 Journal of Mathematical Imaging and Vision
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 268 more Serials
all top 5

Cited in 51 Fields

3,887 Numerical analysis (65-XX)
2,798 Fluid mechanics (76-XX)
2,669 Partial differential equations (35-XX)
712 Mechanics of deformable solids (74-XX)
380 Calculus of variations and optimal control; optimization (49-XX)
373 Optics, electromagnetic theory (78-XX)
178 Statistical mechanics, structure of matter (82-XX)
112 Classical thermodynamics, heat transfer (80-XX)
103 Approximations and expansions (41-XX)
92 Geophysics (86-XX)
87 Biology and other natural sciences (92-XX)
81 Operator theory (47-XX)
65 Ordinary differential equations (34-XX)
63 Functional analysis (46-XX)
62 Operations research, mathematical programming (90-XX)
60 Systems theory; control (93-XX)
51 Integral equations (45-XX)
44 Probability theory and stochastic processes (60-XX)
42 Global analysis, analysis on manifolds (58-XX)
34 Potential theory (31-XX)
27 Computer science (68-XX)
20 Real functions (26-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
18 Mechanics of particles and systems (70-XX)
17 Dynamical systems and ergodic theory (37-XX)
13 Information and communication theory, circuits (94-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Difference and functional equations (39-XX)
9 Quantum theory (81-XX)
9 Astronomy and astrophysics (85-XX)
8 Differential geometry (53-XX)
8 Relativity and gravitational theory (83-XX)
7 Functions of a complex variable (30-XX)
7 Special functions (33-XX)
7 Statistics (62-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Combinatorics (05-XX)
4 History and biography (01-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
2 General and overarching topics; collections (00-XX)
2 Category theory; homological algebra (18-XX)
2 Group theory and generalizations (20-XX)
2 Integral transforms, operational calculus (44-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-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. Updates and corrections should be made in Wikidata.