Raphaèle Herbin - Author Profile

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Herbin, Raphaèle

Author ID:	herbin.raphaele
Published as:	Herbin, Raphaèle; Herbin, R.; Herbin, Raphaele; Herbin, Raphaéle; Herbin, Raphaelle more...less
Homepage:	https://www.i2m.univ-amu.fr/perso/raphaele.herbin/
External Links:	MGP · Wikidata · GND · IdRef · theses.fr

Documents Indexed:	158 Publications since 1986, including 2 Books and 8 Additional arXiv Preprints
	3 Contributions as Editor
Co-Authors:	74 Co-Authors with 156 Joint Publications
	1,262 Co-Co-Authors

all top 5

Co-Authors

5	single-authored
74	Eymard, Robert
73	Gallouët, Thierry
55	Latché, Jean-Claude
11	Droniou, Jérôme
11	Guichard, Cindy
7	Gastaldo, Laura
7	Hubert, Florence
6	Chénier, Eric
6	Kheriji, Walid
6	Therme, Nicolas
5	Nasseri, Youssouf
4	Cautrès, René
4	Hilhorst, Danielle
4	Maltese, David
4	Masson, Roland
3	Bouillard, Nicolas
3	Brunel, Aubin
3	Gerbi, Stéphane
3	Mallem, K.
3	Nguyen, Trung Tan
3	Piar, Bruno
2	Babik, Fabrice
2	Batteux, Lea
2	Blanc, Philippe
2	Bradji, Abdallah
2	Conrad, Francis
2	Gallouët, Emily
2	Gutnic, Michaël
2	Handlovičová, Angela
2	Labergerie, Olivier
2	Marchand, Emmanuelle
2	Michel, Anthony
2	Mikula, Karol
2	Montarnal, Philippe
2	Novotný, Antonín
2	Ohayon, Jacques
2	Poullet, Pascal
2	Saleh, Khaled
2	Stašová, Olga
1	Agelas, Leo
1	Angot, Philippe
1	Bejček, Michal
1	Boyer, Franck
1	Chadwick, Richard S.
1	Champier, Sylvie
1	Coudière, Yves
1	Feistauer, Miloslav
1	Feron, Pierre
1	Fořt, Jaroslav
1	Fürst, Jiří
1	Ghilani, Mustapha
1	Grapsas, Dionysios
1	Grapsas, Dionysis
1	Hájek, Jaroslav
1	Halama, Jan
1	Henry, Gérard
1	Henry, Marie
1	Klöfkorn, Robert
1	Kröner, Dietmar
1	Lapuerta, Céline
1	Larcher, Aurélien
1	Le Tellier, Romain
1	Linke, Alexander
1	Mainguy, M.
1	Minjeaud, Sebastian
1	Mittelmann, Hans Detlef
1	Ohlberger, Mario
1	Piar, L.
1	Rhoudaf, Mohamed
1	Sonnad, Vijay
1	Teppaz, Pierre
1	Touazi, Ouardia
1	Vignal, Marie-Hélène
1	Zaza, Chady

all top 5

Serials

10	IMA Journal of Numerical Analysis
9	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7	Mathematics of Computation
7	Comptes Rendus. Mathématique. Académie des Sciences, Paris
6	International Journal on Finite Volumes
5	SIAM Journal on Numerical Analysis
4	European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
3	Calcolo
3	Numerische Mathematik
3	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2	Computers and Fluids
2	International Journal for Numerical Methods in Fluids
2	Mathematics and Computers in Simulation
2	Numerical Methods for Partial Differential Equations
2	Acta Mathematica Universitatis Comenianae. New Series
2	Computational and Applied Mathematics
2	Advances in Differential Equations
2	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2	M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2	Journal of Numerical Mathematics
2	S\(\vec{\text{e}}\)MA Journal
1	Computer Methods in Applied Mechanics and Engineering
1	Journal of Computational Physics
1	Applied Mathematics and Computation
1	Czechoslovak Mathematical Journal
1	Mechanics Research Communications
1	Chinese Annals of Mathematics. Series B
1	Applied Numerical Mathematics
1	Applied Mathematics Letters
1	Journal of Scientific Computing
1	Differential and Integral Equations
1	Applications of Mathematics
1	SIAM Journal on Scientific Computing
1	Mathematical Engineering in Industry
1	Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b
1	Computing and Visualization in Science
1	Journal of Mathematical Fluid Mechanics
1	Computational Geosciences
1	Nonlinear Analysis. Real World Applications
1	Foundations of Computational Mathematics
1	Computational Methods in Applied Mathematics
1	Mathématiques & Applications (Berlin)
1	Springer Proceedings in Mathematics
1	European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1	Références Sciences
1	SMAI Journal of Computational Mathematics

all top 5

Fields

132	Numerical analysis (65-XX)
89	Fluid mechanics (76-XX)
79	Partial differential equations (35-XX)
6	Classical thermodynamics, heat transfer (80-XX)
5	Mechanics of deformable solids (74-XX)
4	Calculus of variations and optimal control; optimization (49-XX)
4	Biology and other natural sciences (92-XX)
3	General and overarching topics; collections (00-XX)
2	Operator theory (47-XX)
1	Real functions (26-XX)
1	Measure and integration (28-XX)
1	Probability theory and stochastic processes (60-XX)
1	Optics, electromagnetic theory (78-XX)
1	Geophysics (86-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

128 Publications have been cited 3,196 times in 1,650 Documents	Cited by ▼	Year ▼
Finite volume methods. Zbl 0981.65095 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	762	2000
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144 Eymard, R.; Gallouët, T.; Herbin, R.	200	2010
Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314 Herbin, Raphaèle; Hubert, Florence	153	2008
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	125	2010
The gradient discretisation method. Zbl 1435.65005 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle	102	2018
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle	87	2012
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony	77	2002
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136 Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele	76	2013
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110 Eymard, R.; Gallouët, T.; Herbin, R.	66	2006
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355 Eymard, Robert; Herbin, Raphaèle; Michel, Anthony	65	2003
Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078 Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R.	60	1998
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051 Agelas, Léo; Eymard, Robert; Herbin, Raphaèle	49	2009
3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053 Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert	48	2011
An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433 Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude	46	2008
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085 Herbin, Raphaèle	44	1995
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland	42	2014
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle	39	2016
TP or not TP, that is the question. Zbl 1378.76118 Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.	35	2014
A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041 Gallouët, T.; Herbin, R.; Latché, J.-C.	35	2009
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	32	2007
Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028 Eymard, R.; Herbin, R.; Latché, J. C.	32	2007
Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122 Eymard, R.; Gallouët, T.; Herbin, R.	31	2001
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.	31	2010
Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077 Eymard, R.; Gallouët, T.; Herbin, R.	30	1995
Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122 Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle	30	2001
Existence of a solution to a coupled elliptic system. Zbl 0791.35043 Gallouët, T.; Herbin, R.	29	1994
An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149 Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude	29	2016
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519 Herbin, R.; Kheriji, W.; Latché, J.-C.	28	2014
Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	27	1999
A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C.	26	2010
On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude	24	2006
A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127 Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle	22	2003
Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068 Eymard, R.; Gallouët, T.; Herbin, R.	21	1995
Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206 Herbin, R.; Latché, J.-C.; Nguyen, T. T.	21	2013
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075 Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.	20	2000
Gradient schemes for the Stefan problem. Zbl 1482.65162 Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy	20	2013
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083 Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin	19	2016
An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256 Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.	19	2017
Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh. Zbl 0801.65089 Champier, S.; Gallouët, T.; Herbin, R.	18	1993
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135 Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.	18	2012
Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland	18	2012
Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	17	2002
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395 Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle	16	2004
W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109 Gallouët, T.; Herbin, R.; Latché, J.-C.	16	2012
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138 Eymard, R.; Gallouët, T.; Herbin, R.	15	2009
Staggered schemes for all speed flows. Zbl 1357.76038 Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude	15	2012
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	15	2008
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle	14	2004
Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094 Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C.	14	2011
Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149 Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan	14	2018
Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024 Bradji, Abdallah; Herbin, Raphaèle	13	2008
Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778 Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude	13	2013
Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 1459.65168 Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K.	12	2018
A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude	12	2011
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047 Eymard, Robert; Herbin, Raphaèle	12	2007
A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas	12	2018
Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258 Herbin, R.; Latché, J.-C.; Saleh, K.	11	2021
Analysis tools for finite volume schemes. Zbl 1133.65062 Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude	11	2007
Approximation by the finite volume method of an elliptic-parabolic equation arising in environmental studies. Zbl 1173.76359 Eymard, R.; Gallouët, T.; Herbin, R.; Gutnic, M.; Hilhorst, D.	10	2001
The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137 Cautrès, René; Herbin, Raphaèle; Hubert, Florence	10	2004
Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Zbl 1220.76004	10	2011
Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086 Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe	10	2007
Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001 Gallouët, Thierry; Herbin, Raphaèle	9	2013
Kinetic energy control in explicit finite volume discretizations of the incompressible and compressible Navier-Stokes equations. Zbl 1490.76149 Gallouët, T.; Herbin, R.; Latché, J.-C.	9	2010
Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110 Gallouët, Thierry; Herbin, Raphaèle	8	2004
Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119 Fournier, D.; Herbin, R.; Le Tellier, R.	8	2013
A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374 Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude	8	2013
Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118 Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed	8	2011
Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno	8	2009
A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055 Herbin, Raphaèle	7	2003
An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105 Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	7	2015
Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552 Gallouët, Thierry; Herbin, Raphaèle	7	1999
A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089 Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady	7	2020
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. Zbl 1464.65097 Herbin, R.; Latché, J.-C.; Minjeaud, S.; Therme, N.	7	2021
Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038 Herbin, R.; Latché, J.-C.; Mallem, K.	7	2014
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309 Eymard, R.; Gallouët, T.; Herbin, R.	7	2008
Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. Zbl 1490.76152 Herbin, Raphaele; Latché, Jean-Claude	7	2010
An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude	6	2010
Gradient scheme approximations for diffusion problems. Zbl 1246.65205 Eymard, Robert; Herbin, Raphaèle	6	2011
Finite volume approximation of a class of variational inequalities. Zbl 0990.65069 Herbin, Raphaèle; Marchand, Emmanuelle	6	2001
Approximation of obstacle problems by continuation methods. Zbl 0668.65048 Conrad, Francis; Herbin, Raphaele; Mittelmann, Hans D.	6	1988
Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks. Zbl 1052.65557 Angot, Philippe; Gallouët, Thierry; Herbin, Raphaèle	6	1999
Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 1540.76116 Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A.	6	2017
On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149 Gallouët, T.; Herbin, R.; Latché, J.-C.	6	2019
Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079 Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle	6	2007
A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. Zbl 1490.65241 Eymard, Robert; Herbin, Raphaèle	6	2005
Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072 Herbin, Raphaèle; Labergerie, Olivier	5	1997
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231 Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D.	5	2018
A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052 Eymard, Robert; Herbin, Raphaèle	5	2003
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187 Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga	5	2015
On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062 Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B.	5	2007
Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes. Zbl 1490.65169 Gallouët, T.; Herbin, R.; Latché, J.-C.	5	2022
Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052 Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M.	4	1999
Benchmark 3D: the VAG scheme. Zbl 1246.76084 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle	4	2011
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle	4	2009
A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions. Zbl 1490.65236 Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle	4	2005
A uniqueness result for measure-valued solutions of nonlinear hyperbolic equations. Zbl 0806.35114 Gallouët, Thierry; Herbin, Raphaèle	3	1993
Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. Zbl 1049.65002	3	2002
A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396 Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D.	3	2009
A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103 Herbin, Raphaèle; Ohlberger, Mario	3	2002
A consistent quasi-second-order staggered scheme for the two-dimensional shallow water equations. Zbl 1511.65091 Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas	2	2023
Convergence of the fully discrete incremental projection scheme for incompressible flows. Zbl 1519.35225 Gallouët, T.; Herbin, R.; Latché, J. C.; Maltese, D.	1	2023
Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes. Zbl 1490.65169 Gallouët, T.; Herbin, R.; Latché, J.-C.	5	2022
Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258 Herbin, R.; Latché, J.-C.; Saleh, K.	11	2021
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. Zbl 1464.65097 Herbin, R.; Latché, J.-C.; Minjeaud, S.; Therme, N.	7	2021
Consistent internal energy based schemes for the compressible Euler equations. Zbl 1498.65141 Gallouët, T.; Herbin, R.; Latché, J.-C.; Therme, N.	3	2021
A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089 Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady	7	2020
A unified analysis of elliptic problems with various boundary conditions and their approximation. Zbl 1513.65498 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	2	2020
The gradient discretisation method for linear advection problems. Zbl 1451.65175 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	2	2020
On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149 Gallouët, T.; Herbin, R.; Latché, J.-C.	6	2019
A decoupled staggered scheme for the shallow water equations. Zbl 1471.65116 Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas	1	2019
A class of staggered schemes for the compressible Euler equations. Zbl 1422.65208 Herbin, Raphaele; Latché, Jean-Claude	1	2019
The gradient discretisation method. Zbl 1435.65005 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle	102	2018
Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149 Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan	14	2018
Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 1459.65168 Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K.	12	2018
A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas	12	2018
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231 Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D.	5	2018
An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256 Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.	19	2017
Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 1540.76116 Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A.	6	2017
Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows. Zbl 1391.76415 Herbin, Raphaèle; Latché, Jean-Claude; Saleh, Khaled	2	2017
Convergence of the MAC scheme for variable density flows. Zbl 1391.76407 Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K.	1	2017
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle	39	2016
An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149 Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude	29	2016
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083 Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin	19	2016
Analysis of a fractional-step scheme for the \(\mathbf P_1\) radiative diffusion model. Zbl 1350.65094 Gallouët, T.; Herbin, R.; Larcher, A.; Latché, J.-C.	3	2016
An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105 Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	7	2015
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187 Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga	5	2015
\( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems. Zbl 1540.76086 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	2	2015
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland	42	2014
TP or not TP, that is the question. Zbl 1378.76118 Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.	35	2014
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519 Herbin, R.; Kheriji, W.; Latché, J.-C.	28	2014
Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038 Herbin, R.; Latché, J.-C.; Mallem, K.	7	2014
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136 Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele	76	2013
Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206 Herbin, R.; Latché, J.-C.; Nguyen, T. T.	21	2013
Gradient schemes for the Stefan problem. Zbl 1482.65162 Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy	20	2013
Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778 Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude	13	2013
Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001 Gallouët, Thierry; Herbin, Raphaèle	9	2013
Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119 Fournier, D.; Herbin, R.; Le Tellier, R.	8	2013
A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374 Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude	8	2013
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle	87	2012
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135 Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.	18	2012
Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland	18	2012
W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109 Gallouët, T.; Herbin, R.; Latché, J.-C.	16	2012
Staggered schemes for all speed flows. Zbl 1357.76038 Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude	15	2012
3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053 Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert	48	2011
Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094 Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C.	14	2011
A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude	12	2011
Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Zbl 1220.76004	10	2011
Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118 Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed	8	2011
Gradient scheme approximations for diffusion problems. Zbl 1246.65205 Eymard, Robert; Herbin, Raphaèle	6	2011
Benchmark 3D: the VAG scheme. Zbl 1246.76084 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle	4	2011
An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle	2	2011
Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland	1	2011
Gradient schemes for image processing. Zbl 1246.65163 Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga	1	2011
Playing with Burgers’s equation. Zbl 1246.76093 Gallouët, T.; Herbin, R.; Latché, J.-C.; Nguyen, T. T.	1	2011
Discretization of the viscous dissipation term with the MAC scheme. Zbl 1246.76063 Babik, F.; Herbin, R.; Kheriji, W.; Latché, J.-C.	1	2011
Benchmark 3D: the SUSHI scheme. Zbl 1246.76083 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	1	2011
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144 Eymard, R.; Gallouët, T.; Herbin, R.	200	2010
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	125	2010
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.	31	2010
A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C.	26	2010
Kinetic energy control in explicit finite volume discretizations of the incompressible and compressible Navier-Stokes equations. Zbl 1490.76149 Gallouët, T.; Herbin, R.; Latché, J.-C.	9	2010
Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. Zbl 1490.76152 Herbin, Raphaele; Latché, Jean-Claude	7	2010
An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude	6	2010
Approximation of the biharmonic problem using piecewise linear finite elements. (Approximation d’un problème biharmonique par élément fini \(P1\).) Zbl 1205.65314 Eymard, Robert; Herbin, Raphaèle	2	2010
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051 Agelas, Léo; Eymard, Robert; Herbin, Raphaèle	49	2009
A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041 Gallouët, T.; Herbin, R.; Latché, J.-C.	35	2009
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138 Eymard, R.; Gallouët, T.; Herbin, R.	15	2009
Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno	8	2009
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle	4	2009
A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396 Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D.	3	2009
Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314 Herbin, Raphaèle; Hubert, Florence	153	2008
An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433 Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude	46	2008
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	15	2008
Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024 Bradji, Abdallah; Herbin, Raphaèle	13	2008
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309 Eymard, R.; Gallouët, T.; Herbin, R.	7	2008
Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes. Zbl 1133.76028 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle; Touazi, Ouardia	1	2008
A pressure correction scheme for the homogeneous two-phase flow model with two barotropic phases. Zbl 1374.76144 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude	1	2008
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle	32	2007
Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028 Eymard, R.; Herbin, R.; Latché, J. C.	32	2007
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047 Eymard, Robert; Herbin, Raphaèle	12	2007
Analysis tools for finite volume schemes. Zbl 1133.65062 Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude	11	2007
Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086 Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe	10	2007
Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079 Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle	6	2007
On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062 Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B.	5	2007
Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele	2	2007
On the discretization of the coupled heat and electrical diffusion problems. Zbl 1137.65430 Bradji, Abdallah; Herbin, Raphaèle	1	2007
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110 Eymard, R.; Gallouët, T.; Herbin, R.	66	2006
On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude	24	2006
A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. Zbl 1490.65241 Eymard, Robert; Herbin, Raphaèle	6	2005
A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions. Zbl 1490.65236 Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle	4	2005
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395 Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle	16	2004
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle	14	2004
The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137 Cautrès, René; Herbin, Raphaèle; Hubert, Florence	10	2004
Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110 Gallouët, Thierry; Herbin, Raphaèle	8	2004
A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361 Eymard, Robert; Herbin, Raphaèle	2	2004
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355 Eymard, Robert; Herbin, Raphaèle; Michel, Anthony	65	2003
A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127 Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle	22	2003
A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055 Herbin, Raphaèle	7	2003
A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052 Eymard, Robert; Herbin, Raphaèle	5	2003
...and 28 more Documents

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Cited by 2,024 Authors

70	Eymard, Robert
67	Herbin, Raphaèle
60	Droniou, Jérôme
51	Gallouët, Thierry
44	Di Pietro, Daniele Antonio
42	Latché, Jean-Claude
38	Cancès, Clément
34	Masson, Roland
33	Bradji, Abdallah
30	Yuan, Guangwei
26	Brenner, Konstantin
26	Chainais-Hillairet, Claire
25	Manzini, Gianmarco
25	Saad, Mazen
23	Vohralík, Martin
22	Wu, Jiming
21	Fuhrmann, Jürgen
21	Zou, Qingsong
20	Andreianov, Boris
18	Ern, Alexandre
18	Quenjel, EL Houssaine
17	Beirão da Veiga, Lourenço
16	Guichard, Cindy
15	Hilhorst, Danielle
15	Sheng, Zhiqiang
14	Bendahmane, Mostafa
14	Gao, Zhiming
14	Lukáčová-Medviďová, Mária
14	Sepúlveda, Mauricio A.
14	Terekhov, Kirill M.
13	Brezzi, Franco
13	Goudon, Thierry
13	Karlsen, Kenneth Hvistendahl
13	Mikula, Karol
13	Pop, Iuliu Sorin
12	Benkhaldoun, Fayssal
12	Krell, Stella
12	Zhang, Zhimin
11	Feireisl, Eduard
11	Hérard, Jean-Marc
11	Linke, Alexander
11	Maltese, David
11	Risebro, Nils Henrik
11	Rui, Hongxing
10	Antonietti, Paola Francesca
10	Després, Bruno
10	Jüngel, Ansgar
10	Le Potier, Christophe
10	Lipnikov, Konstantin N.
10	Luo, Zhendong
10	Marini, Luisa Donatella
10	She, Bangwei
9	Alnashri, Yahya Ahmad
9	Bauzet, Caroline
9	Bessemoulin-Chatard, Marianne
9	Clain, Stéphane Louis
9	Minjeaud, Sebastian
9	Nabet, Flore
9	Rivière, Beatrice M.
9	Russo, Alessandro
9	Tchelepi, Hamdi A.
8	Glitzky, Annegret
8	Goatin, Paola
8	Handlovičová, Angela
8	Hermeline, François
8	Ohlberger, Mario
8	Rhoudaf, Mohamed
8	Vovelle, Julien
7	Castelletto, Nicola
7	Cheng, Hanz Martin C.
7	Chénier, Eric
7	Coatléven, Julien
7	Enchéry, Guillaume
7	Formaggia, Luca
7	Fumagalli, Alessio
7	Li, Yonghai
7	Novotný, Antonín
7	Ouaro, Stanislas
7	Scotti, Anna
7	Seguin, Nicolas
7	Su, Shuai
7	Tambue, Antoine
7	Vallet, Guy
7	Ye, Xiu
7	Yousef, Soleiman
6	Amaziane, Brahim
6	Bertolazzi, Enrico
6	Botti, Michele
6	Boyer, Franck
6	Bürger, Raimund
6	Calgaro, Caterina
6	Chen, Zhangxin
6	Coudière, Yves
6	Faille, Isabelle
6	Farrell, Patricio
6	Gaspar, Francisco José
6	Herda, Maxime
6	Hošek, Radim
6	Hubert, Florence
6	Ibrahim, Moustafa
...and 1,924 more Authors

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Cited in 212 Serials

145	Journal of Computational Physics
89	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
65	Journal of Scientific Computing
63	Numerische Mathematik
61	Computers & Mathematics with Applications
59	Journal of Computational and Applied Mathematics
56	Computer Methods in Applied Mechanics and Engineering
51	Numerical Methods for Partial Differential Equations
50	Mathematics of Computation
45	Applied Numerical Mathematics
41	SIAM Journal on Numerical Analysis
40	Computational Geosciences
34	Comptes Rendus. Mathématique. Académie des Sciences, Paris
30	Applied Mathematics and Computation
29	Computers and Fluids
27	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22	SIAM Journal on Scientific Computing
21	International Journal on Finite Volumes
20	Communications in Computational Physics
19	M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
18	Mathematics and Computers in Simulation
17	Computational Methods in Applied Mathematics
15	Advances in Computational Mathematics
14	Journal of Mathematical Analysis and Applications
14	International Journal for Numerical Methods in Engineering
12	Mathematical Methods in the Applied Sciences
11	International Journal for Numerical Methods in Fluids
11	Applied Mathematical Modelling
10	Calcolo
10	Journal of Differential Equations
10	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9	Journal of Numerical Mathematics
8	Computational and Applied Mathematics
8	Discrete and Continuous Dynamical Systems. Series S
7	Archive for Rational Mechanics and Analysis
7	Mathematical and Computer Modelling
7	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7	Journal of Mathematical Fluid Mechanics
7	Nonlinear Analysis. Real World Applications
7	International Journal of Numerical Analysis and Modeling
7	European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
7	SMAI Journal of Computational Mathematics
6	Computer Physics Communications
6	BIT
6	RAIRO. Modélisation Mathématique et Analyse Numérique
6	Computational Mechanics
6	SIAM Journal on Mathematical Analysis
5	European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
5	Communications in Nonlinear Science and Numerical Simulation
5	Lobachevskii Journal of Mathematics
5	Foundations of Computational Mathematics
5	Discrete and Continuous Dynamical Systems. Series B
5	Journal of Hyperbolic Differential Equations
5	Results in Applied Mathematics
4	Journal of Engineering Mathematics
4	Numerical Functional Analysis and Optimization
4	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4	Applied Mathematics Letters
4	Applications of Mathematics
4	Calculus of Variations and Partial Differential Equations
4	Russian Journal of Numerical Analysis and Mathematical Modelling
4	Discrete and Continuous Dynamical Systems
4	Vietnam Journal of Mathematics
4	Multiscale Modeling & Simulation
4	International Journal of Computational Methods
4	Networks and Heterogeneous Media
4	Mathematics in Engineering
3	Journal of Mathematical Biology
3	Journal of Functional Analysis
3	Mathematische Nachrichten
3	Transactions of the American Mathematical Society
3	Acta Applicandae Mathematicae
3	Japan Journal of Industrial and Applied Mathematics
3	Stochastic Processes and their Applications
3	Numerical Linear Algebra with Applications
3	Arab Journal of Mathematical Sciences
3	Doklady Mathematics
3	Computing and Visualization in Science
3	Matematicheskoe Modelirovanie
3	Advances in Applied Mathematics and Mechanics
3	GEM - International Journal on Geomathematics
3	S\(\vec{\text{e}}\)MA Journal
3	AIMS Mathematics
2	ZAMP. Zeitschrift für angewandte Mathematik und Physik
2	Chaos, Solitons and Fractals
2	Computing
2	Journal of the Korean Mathematical Society
2	Kybernetika
2	Quarterly of Applied Mathematics
2	Ricerche di Matematica
2	Chinese Annals of Mathematics. Series B
2	Discrete & Computational Geometry
2	European Journal of Applied Mathematics
2	Computational Mathematics and Mathematical Physics
2	International Journal of Computer Mathematics
2	Journal de Mathématiques Pures et Appliquées. Neuvième Série
2	SIAM Journal on Applied Mathematics
2	Bulletin of the American Mathematical Society. New Series
2	NoDEA. Nonlinear Differential Equations and Applications
2	International Journal of Computational Fluid Dynamics
...and 112 more Serials

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Cited in 43 Fields

1,309	Numerical analysis (65-XX)
886	Partial differential equations (35-XX)
744	Fluid mechanics (76-XX)
120	Mechanics of deformable solids (74-XX)
83	Biology and other natural sciences (92-XX)
57	Geophysics (86-XX)
50	Classical thermodynamics, heat transfer (80-XX)
49	Statistical mechanics, structure of matter (82-XX)
43	Probability theory and stochastic processes (60-XX)
38	Calculus of variations and optimal control; optimization (49-XX)
37	Optics, electromagnetic theory (78-XX)
23	Computer science (68-XX)
21	Operations research, mathematical programming (90-XX)
17	Functional analysis (46-XX)
13	Integral equations (45-XX)
11	Global analysis, analysis on manifolds (58-XX)
10	Dynamical systems and ergodic theory (37-XX)
10	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9	Ordinary differential equations (34-XX)
8	Real functions (26-XX)
8	Potential theory (31-XX)
8	Operator theory (47-XX)
8	Information and communication theory, circuits (94-XX)
7	Approximations and expansions (41-XX)
6	Measure and integration (28-XX)
6	Systems theory; control (93-XX)
4	General and overarching topics; collections (00-XX)
4	Combinatorics (05-XX)
4	Convex and discrete geometry (52-XX)
4	Differential geometry (53-XX)
3	Mechanics of particles and systems (70-XX)
3	Astronomy and astrophysics (85-XX)
2	Algebraic geometry (14-XX)
2	Difference and functional equations (39-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
2	General topology (54-XX)
2	Statistics (62-XX)
2	Quantum theory (81-XX)
1	Category theory; homological algebra (18-XX)
1	Topological groups, Lie groups (22-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Special functions (33-XX)
1	Geometry (51-XX)

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