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Abgrall, Rémi

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Author ID: abgrall.remi Recent zbMATH articles by "Abgrall, Rémi"
Published as: Abgrall, Rémi; Abgrall, R.; Abgrall, Remi
Documents Indexed: 135 Publications since 1987, including 6 Books
all top 5

Co-Authors

29 single-authored
14 Ricchiuto, Mario
10 Congedo, Pietro Marco
8 Tokareva, Svetlana A.
6 Deconinck, Herman
6 Maire, Pierre-Henri
6 Saurel, Richard
5 Dobrzynski, Cécile
5 Geraci, Gianluca
5 Karni, Smadar
4 Bacigaluppi, Paola
4 Beaugendre, Héloïse
4 Mezine, Mohamed
4 Nkonga, Boniface
4 Perrier, Vincent
4 Sonar, Thomas
3 Öffner, Philipp
3 Rodio, Maria Giovanna
3 Shu, Chi-Wang
3 Torlo, Davide
2 Arpaia, Luca
2 Augoula, Steeve
2 Barth, Timothy J.
2 Baurin, G.
2 Billet, Germain
2 Breil, Jérôme
2 Colin, Thierry
2 Guillard, Hervé
2 Hallo, Ludovic
2 Iaccarino, Gianluca
2 Jacq, Pascal
2 Krust, Arnaud
2 Kumar, Harish
2 Larat, Adam
2 le Mélédo, Elise
2 Loubère, Raphaël
2 Ovadia, Jean
2 Papin, Mikael
2 Tang, Kunkun
2 Vilar, François
2 Villedieu, Nadège
1 Aregba-Driollet, Denise
1 Balsara, Dinshaw S.
1 Basdevant, Claude
1 Bassi, Francesco
1 Berthon, Christophe
1 Caraeni, Doru Adrian
1 Carney, Sean P.
1 Cary, Andrew
1 Castro, Manuel J.
1 Crisovan, R.
1 Dallet, Sophie
1 Dobeš, Jiří
1 Dobryzynski, Cécile
1 Dumbser, Michael
1 Fezoui, Loula
1 Fidkowski, Krzysztof J.
1 Friedrich, Oliver
1 Froehly, André
1 Gozalo, L.
1 Hajduk, Hennes
1 Harten, Ami
1 Hartmann, Ralf
1 Hillewaert, Koen
1 Hundsdorfer, Willem H.
1 Jennings, G. I.
1 Kolev, Tzanio V.
1 Koren, Barry
1 Kroll, Norbert
1 Kuzmin, Dmitri
1 Lanteri, Stéphane
1 Lin, Jianfang
1 Lipnikov, Konstantin N.
1 Marpeau, Fabien
1 Massoni, Jacques
1 May, Georg
1 Meister, Andreas
1 Mer, Katherine
1 Michel, Sixtine
1 Mishra, Siddhartha
1 Montagné, Jean-Louis
1 Morgan, Nathaniel R.
1 Nouveau, Léo
1 Parés Madroñal, Carlos
1 Persson, Per-Olof
1 Petitpas, Fabien
1 Prigge, D.
1 Qiu, Jianxian
1 Quintino, Tiago
1 Ranocha, Hendrik
1 Rauch, Jeffrey B.
1 Razaaly, Nassim
1 Rebourcet, Bernard
1 Roe, Philip L.
1 Schmidtmann, Birte
1 Talandier, J.
1 Tavé, C.
1 Torrilhon, Manuel
1 Trefilík, Jiří
1 van Leer, Bram
1 Visbal, Miguel R.
...and 2 more Co-Authors
all top 5

Serials

25 Journal of Computational Physics
13 Journal of Scientific Computing
12 Computers and Fluids
9 SIAM Journal on Scientific Computing
8 International Journal for Numerical Methods in Fluids
5 Computer Methods in Applied Mechanics and Engineering
4 Comptes Rendus de l’Académie des Sciences. Série I
4 Communications in Computational Physics
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Numerical Analysis
2 La Recherche Aérospatiale
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Handbook of Numerical Analysis
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 International Journal of Heat and Mass Transfer
1 Journal of Fluid Mechanics
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 European Journal of Mechanics. B. Fluids
1 International Journal of Applied Mathematics and Computer Science
1 Computational Methods in Applied Mathematics
1 Comptes Rendus. Mécanique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Multiscale Modeling & Simulation
1 Oberwolfach Reports
1 Lecture Notes in Computational Science and Engineering

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 2,562 times in 1,302 Documents Cited by Year
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
Saurel, Richard; Abgrall, Rémi
287
1999
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
218
1996
On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation. Zbl 0822.65062
Abgrall, R.
149
1994
Computations of compressible multifluids. Zbl 1033.76029
Abgrall, Rémi; Karni, Smadar
147
2001
A simple method for compressible multifluid flows. Zbl 0957.76057
Saurel, Richard; Abgrall, Rémi
133
1999
A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean
129
2007
Discrete equations for physical and numerical compressible multiphase mixtures. Zbl 1072.76594
Abgrall, Rémi; Saurel, Richard
86
2003
Modelling phase transition in metastable liquids: application to cavitating and flashing flows. Zbl 1147.76060
Saurel, Richard; Petitpas, Fabien; Abgrall, Remi
73
2008
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
71
2003
A comment on the computation of non-conservative products. Zbl 1188.65134
Abgrall, Rémi; Karni, Smadar
65
2010
Toward the ultimate conservative scheme: Following the quest. Zbl 0988.76055
Abgrall, R.
64
2001
Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426
Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi
57
2014
Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes. Zbl 0870.65116
Abgrall, R.
53
1996
Essentially non-oscillatory residual distribution schemes for hyperbolic problems. Zbl 1089.65083
Abgrall, R.
44
2006
Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes. Zbl 1216.76051
Ricchiuto, M.; Abgrall, R.; Deconinck, H.
43
2007
Residual distribution schemes: current status and future trends. Zbl 1177.76205
Abgrall, Rémi
43
2006
A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids. Zbl 1349.76278
Vilar, François; Maire, Pierre-Henri; Abgrall, Rémi
43
2014
Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems. Zbl 1127.76338
Abgrall, Rémi; Mezine, Mohamed
42
2003
Two-layer shallow water system: a relaxation approach. Zbl 1188.76229
Abgrall, Rémi; Karni, Smadar
36
2009
Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes. Zbl 1343.76017
Abgrall, R.; Larat, A.; Ricchiuto, M.
36
2011
Construction of second-order accurate monotone and stable residual distribution schemes for steady problems. Zbl 1067.65505
Abgrall, Rémi; Mezine, Mohamed
35
2004
A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids. Zbl 1291.74186
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Loubère, Raphaël; Rebourcet, Bernard
35
2013
Some models and Eulerian methods for interface problems between compressible fluids with heat transfer. (Proposition de méthodes et modèles eulériens pour les problèmes à interfaces entre fluides compressible en présence de transfert de chaleur.) Zbl 1121.76378
Massoni, J.; Saurel, R.; Nkonga, B.; Abgrall, R.
33
2002
Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case. Zbl 1195.65133
Ricchiuto, M.; Abgrall, R.
29
2010
High order numerical discretization for Hamilton-Jacobi equations on triangular meshes. Zbl 1077.65506
Augoula, Steeve; Abgrall, Rémi
27
2000
Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics. Zbl 1433.76093
Vilar, François; Maire, Pierre-Henri; Abgrall, Rémi
27
2011
A Lagrangian discontinuous Galerkin-type method on unstructured meshes to solve hydrodynamics problems. Zbl 1067.76591
Loubère, R.; Ovadia, J.; Abgrall, R.
24
2004
Residual distribution schemes for conservation laws via adaptive quadrature. Zbl 1037.35042
Abgrall, Rémi; Barth, Timothy
21
2002
An adaptive shock-capturing algorithm for solving unsteady reactive flows. Zbl 1033.76031
Billet, G.; Abgrall, R.
17
2003
On uniformly high-order accurate residual distribution schemes for advection-diffusion. Zbl 1138.65103
Ricchiuto, M.; Villedieu, N.; Abgrall, R.; Deconinck, H.
17
2008
Approximation of the genuinely multidimensional Riemann problem for the Euler equations by a Roe type method. I: The linearisation. (Approximation du problème de Riemann vraiment multidimensionnel des équations d’Euler par une méthode de type Roe. I: La linéarisation.) Zbl 0813.76074
Abgrall, Rémi
17
1994
Efficient numerical approximation of compressible multi-material flow for unstructured meshes. Zbl 1084.76543
Abgrall, R.; Nkonga, B.; Saurel, R.
17
2003
A review of residual distribution schemes for hyperbolic and parabolic problems: the July 2010 state of the art. Zbl 1373.76114
Abgrall, Remi
16
2012
Linear and non-linear high order accurate residual distribution schemes for the discretization of the steady compressible Navier-Stokes equations. Zbl 1351.76045
Abgrall, R.; De Santis, D.
16
2015
Multiresolution representation in unstructured meshes. Zbl 0933.65110
Abgrall, Rémi; Harten, Ami
15
1998
High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices. Zbl 1398.65242
Abgrall, R.
15
2017
An example of high order residual distribution scheme using non-Lagrange elements. Zbl 1203.65240
Abgrall, R.; Trefilík, J.
14
2010
Généralisation du schéma de Roe pour le calcul d’écoulements de mélanges de gaz a concentrations variables. (Generalization of the Roe scheme for computing flows of mixed gases at variable concentrations). Zbl 0662.76097
Abgrall, Rémi
14
1988
A simple construction of very high order non-oscillatory compact schemes on unstructured meshes. Zbl 1242.76107
Abgrall, R.; Larat, A.; Ricchiuto, M.; Tavé, C.
14
2009
Approximation of the genuinely multidimensional Riemann problem for the Euler equations by a Roe type method. II: Solution of the approximated Riemann problem. (Approximation du problème de Riemann vraiment multidimensionnel des équations d’Euler par une méthode de type Roe. II: Solution du problème de Riemann approché.) Zbl 0813.76075
Abgrall, Rémi
13
1994
A Lax-Wendroff type theorem for residual schemes. Zbl 1035.76029
Abgrall, Rémi; Mer, Katherine; Nkonga, B.
13
2002
High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids. Zbl 1297.65119
Abgrall, R.; De Santis, D.; Ricchiuto, M.
13
2014
An extension of Roe’s upwind scheme to algebraic equilibrium real gas models. Zbl 0721.76061
Abgrall, Rémi
12
1991
Asymptotic expansion of a multiscale numerical scheme for compressible multiphase flow. Zbl 1236.76053
Abgrall, Rémi; Perrier, Vincent
12
2006
Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205
Abgrall, R.; Mishra, S.
12
2017
Development of residual distribution schemes for the discontinuous Galerkin method: the scalar case with linear elements. Zbl 1364.65190
Abgrall, Remi; Shu, Chi-Wang
12
2009
An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flows. Zbl 0824.76052
Abgrall, R.
10
1994
Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes. Zbl 1134.76400
Abgrall, R.; Andrianov, N.; Mezine, M.
10
2005
Residual distribution schemes on quadrilateral meshes. Zbl 1116.76058
Abgrall, R.; Marpeau, F.
9
2007
Construction of simple, stable, and convergent high order schemes for steady first order Hamilton-Jacobi equations. Zbl 1197.65167
Abgrall, R.
9
2009
On the use of Mühlbach expansions in the recovery step of ENO methods. Zbl 0882.76062
Abgrall, Rémi; Sonar, Thomas
9
1997
A one-time truncate and encode multiresolution stochastic framework. Zbl 1349.65004
Abgrall, R.; Congedo, P. M.; Geraci, G.
9
2014
Sensitivity analysis using anchored ANOVA expansion and high-order moments computation. Zbl 1352.62120
Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi
9
2015
A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes. Zbl 1415.76442
Abgrall, R.
9
2018
Staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1374.76099
Abgrall, Rémi; Tokareva, Svetlana
8
2017
An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques. Zbl 1349.76580
Abgrall, R.; Beaugendre, H.; Dobrzynski, C.
8
2014
A high-order nonconservative approach for hyperbolic equations in fluid dynamics. Zbl 1410.76277
Abgrall, R.; Bacigaluppi, P.; Tokareva, S.
8
2018
High-order CFD methods: current status and perspective. Zbl 1455.76007
Wang, Z. J.; Fidkowski, Krzysztof; Abgrall, Rémi; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H. T.; Kroll, Norbert; May, Georg; Persson, Per-Olof; van Leer, Bram; Visbal, Miguel
8
2013
Numerical discretization of boundary conditions for first order Hamilton–Jacobi equations. Zbl 1058.65102
Abgrall, Rémi
7
2003
Numerical approximation of a compressible multiphase system. Zbl 1373.76154
Abgrall, Remi; Kumar, Harish
7
2014
Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulation. Zbl 1349.62329
Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi
7
2016
Multiresolution analysis on unstructured meshes: Application to CFD. Zbl 0913.76054
Abgrall, Rémi
6
1997
A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations. Zbl 1338.65011
Geraci, Gianluca; Congedo, Pietro Marco; Abgrall, Rémi; Iaccarino, Gianluca
6
2016
On a class of high order schemes for hyperbolic problems. Zbl 1377.65146
Abgrall, Rémi
6
2014
A compact residual scheme for unsteady compressible flow problems. Zbl 1157.76367
Abgrall, Rémi; Mezine, Mohamed
5
2003
Some remarks about conservation for residual distribution schemes. Zbl 1398.76090
Abgrall, Rémi
5
2018
Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues. Zbl 1352.65001
Abgrall, Remi (ed.); Shu, Chi-Wang (ed.)
5
2016
How to avoid mass matrix for linear hyperbolic problems. Zbl 1352.65328
Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana
5
2016
Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs. Zbl 1349.76343
Jennings, G. I.; Prigge, D.; Carney, S.; Karni, S.; Rauch, J. B.; Abgrall, R.
5
2014
Multiresolution analysis on unstructured meshes: Application to CFD. Zbl 0925.76421
Abgrall, R.
4
1995
Robust finite volume schemes for two-fluid plasma equations. Zbl 1299.76157
Abgrall, Remi; Kumar, Harish
4
2014
On third-order limiter functions for finite volume methods. Zbl 1356.65219
Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel
4
2016
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi
4
2020
High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics. Zbl 1442.65245
Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana
4
2019
Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S.
4
2020
An extension of Osher’s Riemann solver for chemical and vibrational non- equilibrium gas flows. Zbl 0753.76110
Abgrall, R.; Fezoui, L.; Talandier, J.
3
1992
Construction of a \(p\)-adaptive continuous residual distribution scheme. Zbl 1383.65138
Abgrall, Rémi; Viville, Q.; Beaugendre, H.; Dobrzynski, C.
3
2017
An asymptotic preserving scheme for the barotropic Baer-Nunziato model. Zbl 1426.76326
Abgrall, Rémi; Dallet, Sophie
3
2014
Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification. Zbl 1404.65112
Crisovan, R.; Torlo, D.; Abgrall, R.; Tokareva, S.
3
2019
High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. Zbl 07226088
Abgrall, Rémi; Torlo, Davide
3
2020
ENO approximations for compressible fluid dynamics. Zbl 0917.76060
Abgrall, R.; Lantéri, S.; Sonar, Thomas
2
1999
New results for residual distribution schemes. Zbl 0989.65090
Abgrall, R.; Barth, T. J.
2
2001
High-order residual distribution schemes on quadrilateral meshes. Zbl 1135.65402
Villedieu, N.; Quintino, T.; Abgrall, R.; Deconinck, H.
2
2008
A relaxation scheme for the two-layer shallow water system. Zbl 1369.76030
Abgrall, R.; Karni, S.
2
2008
Entropic closure laws for two-fluids seven equation models. (Fermetures entropiques pour les systèmes bifluides à sept équations.) Zbl 1177.76435
Papin, Mikael; Abgrall, Rémi
2
2005
A scheme for compressible two-phase flows and interface problems. Zbl 1276.76045
Abgrall, R.; Papin, M.; Hallo, L.
2
2003
An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1318.65047
Arpaia, L.; Ricchiuto, M.; Abgrall, R.
2
2015
Some examples of high order simulations parallel of inviscid flows on unstructured and hybrid meshes by residual distribution schemes. Zbl 1365.76107
Abgrall, R.; Baurin, G.; Jacq, P.; Ricchiuto, M.
2
2012
On hybrid residual distribution-Galerkin discretizations for steady and time dependent viscous laminar flows. Zbl 1423.76225
Dobeš, Jiří; Ricchiuto, Mario; Abgrall, Rémi; Deconinck, Herman
2
2015
An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1305.65206
Abgrall, Remi; Arpaia, Luca; Ricchiuto, Mario
2
2014
Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001
Abgrall, Rémi (ed.); Shu, Chi-Wang (ed.)
2
2017
Discrete equation method (DEM) for the simulation of viscous, compressible, two-phase flows. Zbl 1391.76457
Abgrall, R.; Rodio, M. G.
2
2014
High-order statistics in global sensitivity analysis: decomposition and model reduction. Zbl 1425.65021
Geraci, G.; Congedo, P. M.; Abgrall, R.; Iaccarino, G.
2
2016
An adaptive, residual based, splitting approach for the penalized Navier Stokes equations. Zbl 1423.76267
Nouveau, L.; Beaugendre, H.; Dobrzynski, C.; Abgrall, R.; Ricchiuto, M.
2
2016
Error boundedness of correction procedure via reconstruction / flux reconstruction and the connection to residual distribution schemes. Zbl 1466.65113
Abgrall, Rémi; le Mélédo, Elise; Öffner, Philipp; Ranocha, Hendrik
2
2020
Hypersonic calculations by Riemann solvers techniques. Zbl 0900.76228
Abgrall, Rémi
1
1991
Numerical modelling of compressible fluids. (Modélisation numérique des fluides compressibles.) Zbl 0988.76003
Guillard, Hervé; Abgrall, Rémi
1
2001
On the asymptotic behaviour of the coefficients of some polynomial approximations. (Sur le comportement asymptotique des coefficients de certaines approximations polynomiales.) Zbl 0754.65015
Abgrall, Rémi
1
1992
High order approximations for compressible fluid dynamics on unstructured and Cartesian meshes. Zbl 0937.76039
Abgrall, Rémi; Sonar, Thomas; Friedrich, Oliver; Billet, Germain
1
1999
On the numerical approximation of first-order Hamilton-Jacobi equations. Zbl 1147.65323
Abgrall, Rémi; Perrier, Vincent
1
2007
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi
4
2020
Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S.
4
2020
High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. Zbl 07226088
Abgrall, Rémi; Torlo, Davide
3
2020
Error boundedness of correction procedure via reconstruction / flux reconstruction and the connection to residual distribution schemes. Zbl 1466.65113
Abgrall, Rémi; le Mélédo, Elise; Öffner, Philipp; Ranocha, Hendrik
2
2020
High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics. Zbl 1442.65245
Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana
4
2019
Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification. Zbl 1404.65112
Crisovan, R.; Torlo, D.; Abgrall, R.; Tokareva, S.
3
2019
High order residual distribution for steady state problems for hyperbolic conservation laws. Zbl 1450.65080
Lin, Jianfang; Abgrall, Rémi; Qiu, Jianxian
1
2019
A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes. Zbl 1415.76442
Abgrall, R.
9
2018
A high-order nonconservative approach for hyperbolic equations in fluid dynamics. Zbl 1410.76277
Abgrall, R.; Bacigaluppi, P.; Tokareva, S.
8
2018
Some remarks about conservation for residual distribution schemes. Zbl 1398.76090
Abgrall, Rémi
5
2018
High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices. Zbl 1398.65242
Abgrall, R.
15
2017
Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205
Abgrall, R.; Mishra, S.
12
2017
Staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1374.76099
Abgrall, Rémi; Tokareva, Svetlana
8
2017
Construction of a \(p\)-adaptive continuous residual distribution scheme. Zbl 1383.65138
Abgrall, Rémi; Viville, Q.; Beaugendre, H.; Dobrzynski, C.
3
2017
Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001
Abgrall, Rémi; Shu, Chi-Wang
2
2017
Some failures of Riemann solvers. Zbl 1366.76058
Abgrall, R.
1
2017
Design of a second-order fully explicit residual distribution scheme for compressible multiphase flows. Zbl 1368.76068
Abgrall, Rémi; Bacigaluppi, Paola
1
2017
About non linear stabilization for scalar hyperbolic problems. Zbl 1409.35016
Abgrall, Rémi
1
2017
Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulation. Zbl 1349.62329
Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi
7
2016
A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations. Zbl 1338.65011
Geraci, Gianluca; Congedo, Pietro Marco; Abgrall, Rémi; Iaccarino, Gianluca
6
2016
Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues. Zbl 1352.65001
Abgrall, Remi; Shu, Chi-Wang
5
2016
How to avoid mass matrix for linear hyperbolic problems. Zbl 1352.65328
Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana
5
2016
On third-order limiter functions for finite volume methods. Zbl 1356.65219
Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel
4
2016
High-order statistics in global sensitivity analysis: decomposition and model reduction. Zbl 1425.65021
Geraci, G.; Congedo, P. M.; Abgrall, R.; Iaccarino, G.
2
2016
An adaptive, residual based, splitting approach for the penalized Navier Stokes equations. Zbl 1423.76267
Nouveau, L.; Beaugendre, H.; Dobrzynski, C.; Abgrall, R.; Ricchiuto, M.
2
2016
Linear and non-linear high order accurate residual distribution schemes for the discretization of the steady compressible Navier-Stokes equations. Zbl 1351.76045
Abgrall, R.; De Santis, D.
16
2015
Sensitivity analysis using anchored ANOVA expansion and high-order moments computation. Zbl 1352.62120
Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi
9
2015
An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1318.65047
Arpaia, L.; Ricchiuto, M.; Abgrall, R.
2
2015
On hybrid residual distribution-Galerkin discretizations for steady and time dependent viscous laminar flows. Zbl 1423.76225
Dobeš, Jiří; Ricchiuto, Mario; Abgrall, Rémi; Deconinck, Herman
2
2015
Stochastic discrete equation method (SDEM) for two-phase flows. Zbl 1351.76044
Abgrall, R.; Congedo, P. M.; Geraci, G.; Rodio, M. G.
1
2015
Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426
Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi
57
2014
A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids. Zbl 1349.76278
Vilar, François; Maire, Pierre-Henri; Abgrall, Rémi
43
2014
High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids. Zbl 1297.65119
Abgrall, R.; De Santis, D.; Ricchiuto, M.
13
2014
A one-time truncate and encode multiresolution stochastic framework. Zbl 1349.65004
Abgrall, R.; Congedo, P. M.; Geraci, G.
9
2014
An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques. Zbl 1349.76580
Abgrall, R.; Beaugendre, H.; Dobrzynski, C.
8
2014
Numerical approximation of a compressible multiphase system. Zbl 1373.76154
Abgrall, Remi; Kumar, Harish
7
2014
On a class of high order schemes for hyperbolic problems. Zbl 1377.65146
Abgrall, Rémi
6
2014
Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs. Zbl 1349.76343
Jennings, G. I.; Prigge, D.; Carney, S.; Karni, S.; Rauch, J. B.; Abgrall, R.
5
2014
Robust finite volume schemes for two-fluid plasma equations. Zbl 1299.76157
Abgrall, Remi; Kumar, Harish
4
2014
An asymptotic preserving scheme for the barotropic Baer-Nunziato model. Zbl 1426.76326
Abgrall, Rémi; Dallet, Sophie
3
2014
An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1305.65206
Abgrall, Remi; Arpaia, Luca; Ricchiuto, Mario
2
2014
Discrete equation method (DEM) for the simulation of viscous, compressible, two-phase flows. Zbl 1391.76457
Abgrall, R.; Rodio, M. G.
2
2014
Two-phase flow numerical simulation with real-gas effects and occurrence of rarefaction shock waves. Zbl 1408.76441
Rodio, M. G.; Congedo, P. M.; Abgrall, R.
1
2014
A non-linear residual distribution scheme for real-gas computations. Zbl 1391.76658
Abgrall, R.; Congedo, P. M.; De Santis, D.; Razaaly, N.
1
2014
A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids. Zbl 1291.74186
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Loubère, Raphaël; Rebourcet, Bernard
35
2013
High-order CFD methods: current status and perspective. Zbl 1455.76007
Wang, Z. J.; Fidkowski, Krzysztof; Abgrall, Rémi; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H. T.; Kroll, Norbert; May, Georg; Persson, Per-Olof; van Leer, Bram; Visbal, Miguel
8
2013
Numerical approximation of parabolic problems by residual distribution schemes. Zbl 1431.65211
Abgrall, R.; Baurin, G.; Krust, A.; De Santis, D.; Ricchiuto, M.
1
2013
A review of residual distribution schemes for hyperbolic and parabolic problems: the July 2010 state of the art. Zbl 1373.76114
Abgrall, Remi
16
2012
Some examples of high order simulations parallel of inviscid flows on unstructured and hybrid meshes by residual distribution schemes. Zbl 1365.76107
Abgrall, R.; Baurin, G.; Jacq, P.; Ricchiuto, M.
2
2012
Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes. Zbl 1343.76017
Abgrall, R.; Larat, A.; Ricchiuto, M.
36
2011
Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics. Zbl 1433.76093
Vilar, François; Maire, Pierre-Henri; Abgrall, Rémi
27
2011
Special issue: Selected papers based on the presentations at the 1st workshop of numerical approximations of hyperbolic systems and source terms and applications, Castro Urdiales, Spain, September 7–11, 2009. Zbl 1221.65003
Abgrall, Rémi; Aregba, Denise; Berthon, Christophe; Castro, Manuel; Parés, Carlos
1
2011
A comment on the computation of non-conservative products. Zbl 1188.65134
Abgrall, Rémi; Karni, Smadar
65
2010
Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case. Zbl 1195.65133
Ricchiuto, M.; Abgrall, R.
29
2010
An example of high order residual distribution scheme using non-Lagrange elements. Zbl 1203.65240
Abgrall, R.; Trefilík, J.
14
2010
Two-layer shallow water system: a relaxation approach. Zbl 1188.76229
Abgrall, Rémi; Karni, Smadar
36
2009
A simple construction of very high order non-oscillatory compact schemes on unstructured meshes. Zbl 1242.76107
Abgrall, R.; Larat, A.; Ricchiuto, M.; Tavé, C.
14
2009
Development of residual distribution schemes for the discontinuous Galerkin method: the scalar case with linear elements. Zbl 1364.65190
Abgrall, Remi; Shu, Chi-Wang
12
2009
Construction of simple, stable, and convergent high order schemes for steady first order Hamilton-Jacobi equations. Zbl 1197.65167
Abgrall, R.
9
2009
Modelling phase transition in metastable liquids: application to cavitating and flashing flows. Zbl 1147.76060
Saurel, Richard; Petitpas, Fabien; Abgrall, Remi
73
2008
On uniformly high-order accurate residual distribution schemes for advection-diffusion. Zbl 1138.65103
Ricchiuto, M.; Villedieu, N.; Abgrall, R.; Deconinck, H.
17
2008
High-order residual distribution schemes on quadrilateral meshes. Zbl 1135.65402
Villedieu, N.; Quintino, T.; Abgrall, R.; Deconinck, H.
2
2008
A relaxation scheme for the two-layer shallow water system. Zbl 1369.76030
Abgrall, R.; Karni, S.
2
2008
A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean
129
2007
Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes. Zbl 1216.76051
Ricchiuto, M.; Abgrall, R.; Deconinck, H.
43
2007
Residual distribution schemes on quadrilateral meshes. Zbl 1116.76058
Abgrall, R.; Marpeau, F.
9
2007
On the numerical approximation of first-order Hamilton-Jacobi equations. Zbl 1147.65323
Abgrall, Rémi; Perrier, Vincent
1
2007
Essentially non-oscillatory residual distribution schemes for hyperbolic problems. Zbl 1089.65083
Abgrall, R.
44
2006
Residual distribution schemes: current status and future trends. Zbl 1177.76205
Abgrall, Rémi
43
2006
Asymptotic expansion of a multiscale numerical scheme for compressible multiphase flow. Zbl 1236.76053
Abgrall, Rémi; Perrier, Vincent
12
2006
Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes. Zbl 1134.76400
Abgrall, R.; Andrianov, N.; Mezine, M.
10
2005
Entropic closure laws for two-fluids seven equation models. (Fermetures entropiques pour les systèmes bifluides à sept équations.) Zbl 1177.76435
Papin, Mikael; Abgrall, Rémi
2
2005
Construction of second-order accurate monotone and stable residual distribution schemes for steady problems. Zbl 1067.65505
Abgrall, Rémi; Mezine, Mohamed
35
2004
A Lagrangian discontinuous Galerkin-type method on unstructured meshes to solve hydrodynamics problems. Zbl 1067.76591
Loubère, R.; Ovadia, J.; Abgrall, R.
24
2004
Discrete equations for physical and numerical compressible multiphase mixtures. Zbl 1072.76594
Abgrall, Rémi; Saurel, Richard
86
2003
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
71
2003
Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems. Zbl 1127.76338
Abgrall, Rémi; Mezine, Mohamed
42
2003
An adaptive shock-capturing algorithm for solving unsteady reactive flows. Zbl 1033.76031
Billet, G.; Abgrall, R.
17
2003
Efficient numerical approximation of compressible multi-material flow for unstructured meshes. Zbl 1084.76543
Abgrall, R.; Nkonga, B.; Saurel, R.
17
2003
Numerical discretization of boundary conditions for first order Hamilton–Jacobi equations. Zbl 1058.65102
Abgrall, Rémi
7
2003
A compact residual scheme for unsteady compressible flow problems. Zbl 1157.76367
Abgrall, Rémi; Mezine, Mohamed
5
2003
A scheme for compressible two-phase flows and interface problems. Zbl 1276.76045
Abgrall, R.; Papin, M.; Hallo, L.
2
2003
Some models and Eulerian methods for interface problems between compressible fluids with heat transfer. (Proposition de méthodes et modèles eulériens pour les problèmes à interfaces entre fluides compressible en présence de transfert de chaleur.) Zbl 1121.76378
Massoni, J.; Saurel, R.; Nkonga, B.; Abgrall, R.
33
2002
Residual distribution schemes for conservation laws via adaptive quadrature. Zbl 1037.35042
Abgrall, Rémi; Barth, Timothy
21
2002
A Lax-Wendroff type theorem for residual schemes. Zbl 1035.76029
Abgrall, Rémi; Mer, Katherine; Nkonga, B.
13
2002
Computations of compressible multifluids. Zbl 1033.76029
Abgrall, Rémi; Karni, Smadar
147
2001
Toward the ultimate conservative scheme: Following the quest. Zbl 0988.76055
Abgrall, R.
64
2001
New results for residual distribution schemes. Zbl 0989.65090
Abgrall, R.; Barth, T. J.
2
2001
Numerical modelling of compressible fluids. (Modélisation numérique des fluides compressibles.) Zbl 0988.76003
Guillard, Hervé; Abgrall, Rémi
1
2001
High order numerical discretization for Hamilton-Jacobi equations on triangular meshes. Zbl 1077.65506
Augoula, Steeve; Abgrall, Rémi
27
2000
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
Saurel, Richard; Abgrall, Rémi
287
1999
A simple method for compressible multifluid flows. Zbl 0957.76057
Saurel, Richard; Abgrall, Rémi
133
1999
ENO approximations for compressible fluid dynamics. Zbl 0917.76060
Abgrall, R.; Lantéri, S.; Sonar, Thomas
2
1999
High order approximations for compressible fluid dynamics on unstructured and Cartesian meshes. Zbl 0937.76039
Abgrall, Rémi; Sonar, Thomas; Friedrich, Oliver; Billet, Germain
1
1999
Multiresolution representation in unstructured meshes. Zbl 0933.65110
Abgrall, Rémi; Harten, Ami
15
1998
On the use of Mühlbach expansions in the recovery step of ENO methods. Zbl 0882.76062
Abgrall, Rémi; Sonar, Thomas
9
1997
Multiresolution analysis on unstructured meshes: Application to CFD. Zbl 0913.76054
Abgrall, Rémi
6
1997
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
218
1996
Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes. Zbl 0870.65116
Abgrall, R.
53
1996
Multiresolution analysis on unstructured meshes: Application to CFD. Zbl 0925.76421
Abgrall, R.
4
1995
...and 9 more Documents
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Cited by 1,662 Authors

57 Abgrall, Rémi
49 Dumbser, Michael
30 Ricchiuto, Mario
30 Saurel, Richard
29 Shu, Chi-Wang
25 Balsara, Dinshaw S.
22 Morgan, Nathaniel R.
21 Maire, Pierre-Henri
20 Hérard, Jean-Marc
20 Qiu, Jianxian
18 Boscheri, Walter
18 Liu, Tiegang
18 Mai Duc Thanh
17 Khoo, Boo Cheong
17 Loubère, Raphaël
16 Toro, Eleuterio F.
16 Zhu, Jun
12 Burton, Donald E.
12 Després, Bruno
12 Helluy, Philippe
12 Jiang, Song
12 Munz, Claus-Dieter
12 Nkonga, Boniface
11 Breil, Jérôme
11 Congedo, Pietro Marco
11 Gavrilyuk, Sergey L.
11 Kuzmin, Dmitri
11 Nishikawa, Hiroaki
11 Shashkov, Mikhail J.
11 Tian, Baolin
10 Lerat, Alain
10 Ren, Yuxin
10 Seguin, Nicolas
10 Tokareva, Svetlana A.
9 Clain, Stéphane Louis
9 Coquel, Frédéric
9 Daude, Frédéric
9 Deconinck, Herman
9 Deng, Xiaogang
9 Kurganov, Alexander
9 Perrier, Vincent
9 Shyue, Keh-Ming
9 Xu, Kun
8 Bokanowski, Olivier
8 Cuong, Dao Huy
8 Favrie, Nicolas
8 Gallouët, Thierry
8 Galon, Pascal
8 Karni, Smadar
8 Le Metayer, Olivier
8 Petitpas, Fabien
8 Popov, Boyan
8 Terashima, Hiroshi
7 Chalons, Christophe
7 Chizari, Hossain
7 Flåtten, Tore
7 Franquet, Erwin
7 Ghidaglia, Jean-Michel
7 Goncalves, Eric
7 Guermond, Jean-Luc
7 Hubbard, Matthew E.
7 Hurisse, Olivier
7 Ismail, Farzad
7 Jia, Zupeng
7 Luo, Hong
7 Müller, Siegfried
7 Öffner, Philipp
7 Qamar, Shamsul
7 Scovazzi, Guglielmo
7 Waltz, Jacob I.
7 Zhao, Ning
6 Barlow, Andrew J.
6 Berthon, Christophe
6 Cheng, Juan
6 Evje, Steinar
6 Hantke, Maren
6 Kapila, Ashwani K.
6 Labourasse, Emmanuel
6 Men’shov, Igor S.
6 Mishra, Siddhartha
6 Montecinos, Gino I.
6 Nogueira, Xesús
6 Osher, Stanley Joel
6 Pan, Liang
6 Rohde, Christian
5 Adams, Nikolaus A.
5 Benkhaldoun, Fayssal
5 Bouchut, François
5 Canfield, Thomas R.
5 Castro-Díaz, Manuel Jesús
5 Castro, Manuel J.
5 Charest, Marc R. J.
5 Cheng, Junbo
5 Claisse, Alexandra
5 Daniel, Eric
5 Del Pino, Stéphane
5 Dellacherie, Stéphane
5 Deng, Xi
5 Donat, Rosa
5 Dong, Yidao
...and 1,562 more Authors
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Cited in 125 Serials

491 Journal of Computational Physics
195 Computers and Fluids
87 Journal of Scientific Computing
43 Computer Methods in Applied Mechanics and Engineering
29 Computers & Mathematics with Applications
29 Applied Numerical Mathematics
24 Applied Mathematics and Computation
24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 International Journal for Numerical Methods in Fluids
21 Journal of Computational and Applied Mathematics
19 Journal of Fluid Mechanics
17 SIAM Journal on Scientific Computing
13 European Journal of Mechanics. B. Fluids
11 Advances in Applied Mathematics and Mechanics
9 Mathematics of Computation
9 Shock Waves
9 Applied Mathematical Modelling
8 Numerische Mathematik
8 International Journal of Computational Fluid Dynamics
7 Quarterly of Applied Mathematics
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7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Computational Mathematics and Mathematical Physics
6 Archives of Computational Methods in Engineering
6 International Journal of Computational Methods
5 Mathematics and Computers in Simulation
5 SIAM Journal on Numerical Analysis
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Advances in Computational Mathematics
5 AMM. Applied Mathematics and Mechanics. (English Edition)
4 Computer Physics Communications
4 International Journal for Numerical Methods in Engineering
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4 International Journal of Numerical Methods for Heat & Fluid Flow
4 Mathematical Problems in Engineering
4 Flow, Turbulence and Combustion
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Mathematical Methods in the Applied Sciences
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3 SIAM/ASA Journal on Uncertainty Quantification
2 Modern Physics Letters B
2 International Journal of Heat and Mass Transfer
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1 Chaos, Solitons and Fractals
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1 Theoretical Population Biology
1 Acta Applicandae Mathematicae
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
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1 Computational and Applied Mathematics
1 Engineering Analysis with Boundary Elements
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