Edit Profile (opens in new tab) Abgrall, Rémi Co-Author Distance Author ID: abgrall.remi Published as: Abgrall, Rémi; Abgrall, R.; Abgrall, Remi more...less Homepage: https://www.math.uzh.ch/people?key1=8882&key2=2024 External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 168 Publications since 1987, including 1 Book and 14 Additional arXiv Preprints 19 Contributions as Editor Co-Authors: 139 Co-Authors with 150 Joint Publications 3,230 Co-Co-Authors all top 5 Co-Authors 36 single-authored 17 Ricchiuto, Mario 11 Congedo, Pietro Marco 11 Tokareva, Svetlana A. 9 Öffner, Philipp 7 Bacigaluppi, Paola 6 Deconinck, Herman 6 Liu, Yongle 6 Maire, Pierre-Henri 6 Saurel, Richard 6 Torlo, Davide 5 Dobrzynski, Cécile 5 Geraci, Gianluca 5 Karni, Smadar 5 le Mélédo, Elise 5 Shu, Chi-Wang 4 Beaugendre, Héloïse 4 Mezine, Mohamed 4 Nkonga, Boniface 4 Perrier, Vincent 4 Sonar, Thomas 3 Barsukow, Wasilij 3 Lin, Jianfang 3 Lukáčová-Medviďová, Mária 3 Mishra, Siddhartha 3 Rodio, Maria Giovanna 3 Vilar, François 3 Wissocq, Gauthier 2 Amsallem, David 2 Arpaia, Luca 2 Augoula, Steeve 2 Barth, Timothy J. 2 Baurin, G. 2 Billet, Germain 2 Breil, Jérôme 2 Colin, Thierry 2 Dumbser, Michael 2 Garavello, Mauro 2 Guardone, Alberto 2 Guillard, Hervé 2 Hallo, Ludovic 2 Han Veiga, Maria 2 Iaccarino, Gianluca 2 Jacq, Pascal 2 Jiao, Miaosen 2 Krust, Arnaud 2 Kumar, Harish 2 Larat, Adam 2 Loubère, Raphaël 2 Michel, Sixtine 2 Nassajian Mojarrad, Fatemeh 2 Nordström, Jan 2 Ovadia, Jean 2 Papin, Mikael 2 Petrella, Marco 2 Qiu, Jianxian 2 Ranocha, Hendrik 2 Re, Barbara 2 Sirianni, Giuseppe 2 Tang, Kunkun 2 Trivisa, Konstantina 2 Villedieu, Nadège 2 Wu, Kailiang 2 Xiao, Feng 1 Adams, Nikolaus A. 1 Aregba-Driollet, Denise 1 Balsara, Dinshaw S. 1 Basdevant, Claude 1 Bassi, Francesco 1 Berthon, Christophe 1 Boscheri, Walter 1 Busto, Saray 1 Caraeni, Doru Adrian 1 Carlier, Julien 1 Carney, Sean P. 1 Cary, Andrew W. 1 Castro, Manuel J. 1 Chacón, Luis 1 Cheng, Lidong 1 Crisonovan, Roxana 1 Crisovan, R. 1 Dallet, Sophie 1 De Sterck, Hans 1 Dobeš, Jiří 1 Dobryzynski, Cécile 1 Farhat, Charbel H. 1 Fezoui, Loula 1 Fidkowski, Krzysztof J. 1 Friedrich, Oliver 1 Gozalo, L. 1 Hajduk, Hennes 1 Harten, Ami 1 Hartmann, Ralf 1 Hillewaert, Koen 1 Hundsdorfer, Willem H. 1 Jennings, G. I. 1 Klingenberg, Christian 1 Kolev, Tzanio V. 1 Koren, Barry 1 Kroll, Norbert 1 Kumar, Ronit ...and 39 more Co-Authors all top 5 Serials 35 Journal of Computational Physics 17 Journal of Scientific Computing 13 Computers and Fluids 12 SIAM Journal on Scientific Computing 8 International Journal for Numerical Methods in Fluids 6 Communications on Applied Mathematics and Computation 5 Computer Methods in Applied Mechanics and Engineering 5 Communications in Computational Physics 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Journal of Computational and Applied Mathematics 3 Oberwolfach Reports 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Applied Mathematics and Computation 2 SIAM Journal on Numerical Analysis 2 La Recherche Aérospatiale 2 Handbook of Numerical Analysis 2 Journal of Computational Physics: X 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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 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 Communications in Mathematical Sciences 1 Lecture Notes in Computational Science and Engineering 1 Series in Applied Mathematics (Paris) 1 SMAI Journal of Computational Mathematics all top 5 Fields 126 Numerical analysis (65-XX) 113 Fluid mechanics (76-XX) 63 Partial differential equations (35-XX) 17 General and overarching topics; collections (00-XX) 7 Probability theory and stochastic processes (60-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 143 Publications have been cited 4,514 times in 2,397 Documents Cited by ▼ Year ▼ A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053 Saurel, Richard; Abgrall, Rémi 409 1999 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 341 2013 How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060 Abgrall, Rémi 321 1996 Computations of compressible multifluids. Zbl 1033.76029 Abgrall, Rémi; Karni, Smadar 221 2001 A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028 Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean 209 2007 On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation. Zbl 0822.65062 Abgrall, R. 200 1994 A simple method for compressible multifluid flows. Zbl 0957.76057 Saurel, Richard; Abgrall, Rémi 194 1999 Discrete equations for physical and numerical compressible multiphase mixtures. Zbl 1072.76594 Abgrall, Rémi; Saurel, Richard 117 2003 Modelling phase transition in metastable liquids: application to cavitating and flashing flows. Zbl 1147.76060 Saurel, Richard; Petitpas, Fabien; Abgrall, Remi 117 2008 A comment on the computation of non-conservative products. Zbl 1188.65134 Abgrall, Rémi; Karni, Smadar 105 2010 High-order fluctuation schemes on triangular meshes. Zbl 1068.65133 Abgrall, R.; Roe, P. L. 92 2003 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426 Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 92 2014 Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues. Zbl 1352.65001 85 2016 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. 79 2007 Toward the ultimate conservative scheme: Following the quest. Zbl 0988.76055 Abgrall, R. 77 2001 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 69 2013 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 69 2014 Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes. Zbl 0870.65116 Abgrall, R. 65 1996 Two-layer shallow water system: a relaxation approach. Zbl 1188.76229 Abgrall, Rémi; Karni, Smadar 65 2009 Residual distribution schemes: current status and future trends. Zbl 1177.76205 Abgrall, Rémi 64 2006 Essentially non-oscillatory residual distribution schemes for hyperbolic problems. Zbl 1089.65083 Abgrall, R. 59 2006 Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems. Zbl 1127.76338 Abgrall, Rémi; Mezine, Mohamed 58 2003 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. 55 2011 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. 54 2002 A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes. Zbl 1415.76442 Abgrall, R. 54 2018 Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case. Zbl 1195.65133 Ricchiuto, M.; Abgrall, R. 50 2010 Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100 Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 41 2020 High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices. Zbl 1398.65242 Abgrall, R. 40 2017 Construction of second-order accurate monotone and stable residual distribution schemes for steady problems. Zbl 1067.65505 Abgrall, Rémi; Mezine, Mohamed 37 2004 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 37 2011 High order numerical discretization for Hamilton-Jacobi equations on triangular meshes. Zbl 1077.65506 Augoula, Steeve; Abgrall, Rémi 33 2000 A high-order nonconservative approach for hyperbolic equations in fluid dynamics. Zbl 1410.76277 Abgrall, R.; Bacigaluppi, P.; Tokareva, S. 33 2018 A Lagrangian discontinuous Galerkin-type method on unstructured meshes to solve hydrodynamics problems. Zbl 1067.76591 Loubère, R.; Ovadia, J.; Abgrall, R. 32 2004 Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization. Zbl 07517718 Abgrall, Rémi; Öffner, Philipp; Ranocha, Hendrik 31 2022 Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205 Abgrall, R.; Mishra, S. 30 2017 An adaptive shock-capturing algorithm for solving unsteady reactive flows. Zbl 1033.76031 Billet, G.; Abgrall, R. 27 2003 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 27 1988 High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics. Zbl 1442.65245 Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana 25 2019 Residual distribution schemes for conservation laws via adaptive quadrature. Zbl 1037.35042 Abgrall, Rémi; Barth, Timothy 24 2002 Efficient numerical approximation of compressible multi-material flow for unstructured meshes. Zbl 1084.76543 Abgrall, R.; Nkonga, B.; Saurel, R. 23 2003 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 23 1994 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. 23 2015 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. 23 2014 A review of residual distribution schemes for hyperbolic and parabolic problems: the July 2010 state of the art. Zbl 1373.76114 Abgrall, Remi 22 2012 On uniformly high-order accurate residual distribution schemes for advection-diffusion. Zbl 1138.65103 Ricchiuto, M.; Villedieu, N.; Abgrall, R.; Deconinck, H. 21 2008 High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids. Zbl 1297.65119 Abgrall, R.; De Santis, D.; Ricchiuto, M. 21 2014 An example of high order residual distribution scheme using non-Lagrange elements. Zbl 1203.65240 Abgrall, R.; Trefilík, J. 19 2010 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 18 1994 Multiresolution representation in unstructured meshes. Zbl 0933.65110 Abgrall, Rémi; Harten, Ami 18 1998 A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Zbl 1510.76098 Abgrall, Rémi; Busto, Saray; Dumbser, Michael 18 2023 A Lax-Wendroff type theorem for residual schemes. Zbl 1035.76029 Abgrall, Rémi; Mer, Katherine; Nkonga, B. 16 2002 Development of residual distribution schemes for the discontinuous Galerkin method: the scalar case with linear elements. Zbl 1364.65190 Abgrall, Remi; Shu, Chi-Wang 16 2009 An extension of Roe’s upwind scheme to algebraic equilibrium real gas models. Zbl 0721.76061 Abgrall, Rémi 16 1991 High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. Zbl 1473.65183 Abgrall, Rémi; Torlo, Davide 16 2020 Staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1374.76099 Abgrall, Rémi; Tokareva, Svetlana 16 2017 On the use of Mühlbach expansions in the recovery step of ENO methods. Zbl 0882.76062 Abgrall, Rémi; Sonar, Thomas 15 1997 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. 15 2009 Asymptotic expansion of a multiscale numerical scheme for compressible multiphase flow. Zbl 1236.76053 Abgrall, Rémi; Perrier, Vincent 13 2006 Some remarks about conservation for residual distribution schemes. Zbl 1398.76090 Abgrall, Rémi 13 2018 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 13 2016 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. 12 2019 Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability. Zbl 1524.65498 Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 12 2023 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 12 2016 An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flows. Zbl 0824.76052 Abgrall, R. 11 1994 Robust finite volume schemes for two-fluid plasma equations. Zbl 1299.76157 Abgrall, Remi; Kumar, Harish 11 2014 Sensitivity analysis using anchored ANOVA expansion and high-order moments computation. Zbl 1352.62120 Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi 11 2015 Relaxation deferred correction methods and their applications to residual distribution schemes. Zbl 1501.65061 Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp; Torlo, Davide 11 2022 Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes. Zbl 1134.76400 Abgrall, R.; Andrianov, N.; Mezine, M. 10 2005 Numerical discretization of boundary conditions for first order Hamilton–Jacobi equations. Zbl 1058.65102 Abgrall, Rémi 10 2003 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 10 2020 Residual distribution schemes on quadrilateral meshes. Zbl 1116.76058 Abgrall, R.; Marpeau, F. 10 2007 Construction of simple, stable, and convergent high order schemes for steady first order Hamilton-Jacobi equations. Zbl 1197.65167 Abgrall, R. 10 2009 A one-time truncate and encode multiresolution stochastic framework. Zbl 1349.65004 Abgrall, R.; Congedo, P. M.; Geraci, G. 10 2014 THINC scaling method that bridges VOF and level set schemes. Zbl 07513864 Kumar, Ronit; Cheng, Lidong; Xiong, Yunong; Xie, Bin; Abgrall, Rémi; Xiao, Feng 10 2021 How to avoid mass matrix for linear hyperbolic problems. Zbl 1352.65328 Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana 9 2016 Numerical approximation of a compressible multiphase system. Zbl 1373.76154 Abgrall, Remi; Kumar, Harish 9 2014 Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001 9 2017 Multiresolution analysis on unstructured meshes: Application to CFD. Zbl 0913.76054 Abgrall, Rémi 8 1997 Multidimensional staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1434.76062 Abgrall, Rémi; Lipnikov, Konstantin; Morgan, Nathaniel; Tokareva, Svetlana 8 2020 Construction of a \(p\)-adaptive continuous residual distribution scheme. Zbl 1383.65138 Abgrall, Rémi; Viville, Q.; Beaugendre, H.; Dobrzynski, C. 7 2017 Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080 Abgrall, Remi; Barsukow, Wasilij 7 2023 A combination of residual distribution and the active flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations. Zbl 1524.65305 Abgrall, R. 7 2023 A compact residual scheme for unsteady compressible flow problems. Zbl 1157.76367 Abgrall, Rémi; Mezine, Mohamed 6 2003 An asymptotic preserving scheme for the barotropic Baer-Nunziato model. Zbl 1426.76326 Abgrall, Rémi; Dallet, Sophie 6 2014 A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems. Zbl 1455.65218 Abgrall, R.; Dobrzynski, C.; Froehly, A. 6 2014 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 6 2020 Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping. Zbl 1480.65268 Michel, Sixtine; Torlo, Davide; Ricchiuto, Mario; Abgrall, Rémi 6 2021 On a class of high order schemes for hyperbolic problems. Zbl 1377.65146 Abgrall, Rémi 6 2014 Multiresolution analysis on unstructured meshes: Application to CFD. Zbl 0925.76421 Abgrall, R. 5 1995 Numerical approximation of parabolic problems by residual distribution schemes. Zbl 1431.65211 Abgrall, R.; Baurin, G.; Krust, A.; De Santis, D.; Ricchiuto, M. 5 2013 On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. Zbl 1514.65123 Abgrall, Rémi; Lukáčova-Medvid’ová, Mária; Öffner, Philipp 5 2023 Neural network-based limiter with transfer learning. Zbl 1524.65699 Abgrall, Rémi; Han Veiga, Maria 5 2023 Hyperbolic balance laws: residual distribution, local and global fluxes. Zbl 1513.76096 Abgrall, Rémi; Ricchiuto, Mario 5 2022 On third-order limiter functions for finite volume methods. Zbl 1356.65219 Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel 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 High-order statistics in global sensitivity analysis: decomposition and model reduction. Zbl 1425.65021 Geraci, G.; Congedo, P. M.; Abgrall, R.; Iaccarino, G. 5 2016 “A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. Zbl 07652785 Bacigaluppi, Paola; Abgrall, Rémi; Tokareva, Svetlana 5 2023 Capturing near-equilibrium solutions: a comparison between high-order discontinuous Galerkin methods and well-balanced schemes. Zbl 1473.65196 Han Veiga, Maria; Velasco-Romero, David A.; Abgrall, Rémi; Teyssier, Romain 5 2019 Design of a second-order fully explicit residual distribution scheme for compressible multiphase flows. Zbl 1368.76068 Abgrall, Rémi; Bacigaluppi, Paola 4 2017 An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1318.65047 Arpaia, L.; Ricchiuto, M.; Abgrall, R. 4 2015 A posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids. Zbl 1535.65159 Vilar, François; Abgrall, Rémi 1 2024 Novel well-balanced continuous interior penalty stabilizations. Zbl 1544.65172 Micalizzi, Lorenzo; Ricchiuto, Mario; Abgrall, Rémi 1 2024 An arbitrarily high order and asymptotic preserving kinetic scheme in compressible fluid dynamic. Zbl 1541.65086 Abgrall, Rémi; Nassajian Mojarrad, Fatemeh 1 2024 A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Zbl 1510.76098 Abgrall, Rémi; Busto, Saray; Dumbser, Michael 18 2023 Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability. Zbl 1524.65498 Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 12 2023 Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080 Abgrall, Remi; Barsukow, Wasilij 7 2023 A combination of residual distribution and the active flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations. Zbl 1524.65305 Abgrall, R. 7 2023 On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. Zbl 1514.65123 Abgrall, Rémi; Lukáčova-Medvid’ová, Mária; Öffner, Philipp 5 2023 Neural network-based limiter with transfer learning. Zbl 1524.65699 Abgrall, Rémi; Han Veiga, Maria 5 2023 “A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. Zbl 07652785 Bacigaluppi, Paola; Abgrall, Rémi; Tokareva, Svetlana 5 2023 A hybrid finite element-finite volume method for conservation laws. Zbl 1511.76057 Abgrall, Rémi; Barsukow, Wasilij 4 2023 Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping. Zbl 1517.65088 Michel, Sixtine; Torlo, Davide; Ricchiuto, Mario; Abgrall, Rémi 3 2023 Momentum weighted interpolation for unsteady weakly compressible two-phase flows on unstructured meshes. Zbl 1528.76086 Sirianni, Giuseppe; Re, Barbara; Abgrall, Remi; Guardone, Alberto 1 2023 A personal discussion on conservation, and how to formulate it. Zbl 1529.65023 Abgrall, Rémi 1 2023 A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model. Zbl 07620373 Abgrall, Rémi; Rai, Pratik; Renac, Florent 1 2023 Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization. Zbl 07517718 Abgrall, Rémi; Öffner, Philipp; Ranocha, Hendrik 31 2022 Relaxation deferred correction methods and their applications to residual distribution schemes. Zbl 1501.65061 Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp; Torlo, Davide 11 2022 Hyperbolic balance laws: residual distribution, local and global fluxes. Zbl 1513.76096 Abgrall, Rémi; Ricchiuto, Mario 5 2022 Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme. Zbl 1492.65229 Abgrall, Rémi; Torlo, Davide 3 2022 Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum. Zbl 1521.76309 Abgrall, Rémi; Nassajian Mojarrad, Fatemeh 2 2022 High order residual distribution conservative finite difference HWENO scheme for steady state problems. Zbl 1515.65267 Lin, Jianfang; Ren, Yupeng; Abgrall, Rémi; Qiu, Jianxian 2 2022 Assessment of a non-conservative four-equation multiphase system with phase transition. Zbl 07444773 Bacigaluppi, Paola; Carlier, Julien; Pelanti, Marica; Congedo, Pietro Marco; Abgrall, Rémi 1 2022 THINC scaling method that bridges VOF and level set schemes. Zbl 07513864 Kumar, Ronit; Cheng, Lidong; Xiong, Yunong; Xie, Bin; Abgrall, Rémi; Xiao, Feng 10 2021 Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping. Zbl 1480.65268 Michel, Sixtine; Torlo, Davide; Ricchiuto, Mario; Abgrall, Rémi 6 2021 General polytopal \(H(\mathrm{div})\)-conformal finite elements and their discretisation spaces. Zbl 1477.65184 Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp 1 2021 Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100 Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 41 2020 High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. Zbl 1473.65183 Abgrall, Rémi; Torlo, Davide 16 2020 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 10 2020 Multidimensional staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1434.76062 Abgrall, Rémi; Lipnikov, Konstantin; Morgan, Nathaniel; Tokareva, Svetlana 8 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 6 2020 The notion of conservation for residual distribution schemes (or fluctuation splitting schemes), with some applications. Zbl 1476.65202 Abgrall, Rémi 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 25 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. 12 2019 Capturing near-equilibrium solutions: a comparison between high-order discontinuous Galerkin methods and well-balanced schemes. Zbl 1473.65196 Han Veiga, Maria; Velasco-Romero, David A.; Abgrall, Rémi; Teyssier, Romain 5 2019 High order residual distribution for steady state problems for hyperbolic conservation laws. Zbl 1450.65080 Lin, Jianfang; Abgrall, Rémi; Qiu, Jianxian 3 2019 A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes. Zbl 1415.76442 Abgrall, R. 54 2018 A high-order nonconservative approach for hyperbolic equations in fluid dynamics. Zbl 1410.76277 Abgrall, R.; Bacigaluppi, P.; Tokareva, S. 33 2018 Some remarks about conservation for residual distribution schemes. Zbl 1398.76090 Abgrall, Rémi 13 2018 High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices. Zbl 1398.65242 Abgrall, R. 40 2017 Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205 Abgrall, R.; Mishra, S. 30 2017 Staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1374.76099 Abgrall, Rémi; Tokareva, Svetlana 16 2017 Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001 9 2017 Construction of a \(p\)-adaptive continuous residual distribution scheme. Zbl 1383.65138 Abgrall, Rémi; Viville, Q.; Beaugendre, H.; Dobrzynski, C. 7 2017 Design of a second-order fully explicit residual distribution scheme for compressible multiphase flows. Zbl 1368.76068 Abgrall, Rémi; Bacigaluppi, Paola 4 2017 The stochastic finite volume method. Zbl 1404.65108 Abgrall, Rémi; Tokareva, Svetlana 3 2017 Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties. Zbl 1540.65442 Abgrall, R.; Congedo, P. M.; Geraci, G. 3 2017 Some failures of Riemann solvers. Zbl 1366.76058 Abgrall, R. 1 2017 About non linear stabilization for scalar hyperbolic problems. Zbl 1409.35016 Abgrall, Rémi 1 2017 Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues. Zbl 1352.65001 85 2016 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 13 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 12 2016 How to avoid mass matrix for linear hyperbolic problems. Zbl 1352.65328 Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana 9 2016 On third-order limiter functions for finite volume methods. Zbl 1356.65219 Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel 5 2016 High-order statistics in global sensitivity analysis: decomposition and model reduction. Zbl 1425.65021 Geraci, G.; Congedo, P. M.; Abgrall, R.; Iaccarino, G. 5 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. 4 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. 23 2015 Sensitivity analysis using anchored ANOVA expansion and high-order moments computation. Zbl 1352.62120 Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi 11 2015 An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1318.65047 Arpaia, L.; Ricchiuto, M.; Abgrall, R. 4 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 3 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 92 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 69 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. 23 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. 21 2014 Robust finite volume schemes for two-fluid plasma equations. Zbl 1299.76157 Abgrall, Remi; Kumar, Harish 11 2014 A one-time truncate and encode multiresolution stochastic framework. Zbl 1349.65004 Abgrall, R.; Congedo, P. M.; Geraci, G. 10 2014 Numerical approximation of a compressible multiphase system. Zbl 1373.76154 Abgrall, Remi; Kumar, Harish 9 2014 An asymptotic preserving scheme for the barotropic Baer-Nunziato model. Zbl 1426.76326 Abgrall, Rémi; Dallet, Sophie 6 2014 A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems. Zbl 1455.65218 Abgrall, R.; Dobrzynski, C.; Froehly, A. 6 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 Discrete equation method (DEM) for the simulation of viscous, compressible, two-phase flows. Zbl 1391.76457 Abgrall, R.; Rodio, M. G. 4 2014 A non-linear residual distribution scheme for real-gas computations. Zbl 1391.76658 Abgrall, R.; Congedo, P. M.; De Santis, D.; Razaaly, N. 4 2014 An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1305.65206 Abgrall, Remi; Arpaia, Luca; Ricchiuto, Mario 3 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. 2 2014 Frontiers in computational physics: modeling the Earth system. Zbl 1349.86001 1 2014 A nominally second-order cell-centered finite volume scheme for simulating three-dimensional anisotropic diffusion equations on unstructured grids. Zbl 1373.76132 Jacq, Pascal; Maire, Pierre-Henri; Abgrall, Rémi 1 2014 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 341 2013 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 69 2013 Numerical approximation of parabolic problems by residual distribution schemes. Zbl 1431.65211 Abgrall, R.; Baurin, G.; Krust, A.; De Santis, D.; Ricchiuto, M. 5 2013 A review of residual distribution schemes for hyperbolic and parabolic problems: the July 2010 state of the art. Zbl 1373.76114 Abgrall, Remi 22 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. 3 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. 55 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 37 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 2 2011 A comment on the computation of non-conservative products. Zbl 1188.65134 Abgrall, Rémi; Karni, Smadar 105 2010 Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case. Zbl 1195.65133 Ricchiuto, M.; Abgrall, R. 50 2010 An example of high order residual distribution scheme using non-Lagrange elements. Zbl 1203.65240 Abgrall, R.; Trefilík, J. 19 2010 Two-layer shallow water system: a relaxation approach. Zbl 1188.76229 Abgrall, Rémi; Karni, Smadar 65 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 16 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. 15 2009 Construction of simple, stable, and convergent high order schemes for steady first order Hamilton-Jacobi equations. Zbl 1197.65167 Abgrall, R. 10 2009 Modelling phase transition in metastable liquids: application to cavitating and flashing flows. Zbl 1147.76060 Saurel, Richard; Petitpas, Fabien; Abgrall, Remi 117 2008 On uniformly high-order accurate residual distribution schemes for advection-diffusion. Zbl 1138.65103 Ricchiuto, M.; Villedieu, N.; Abgrall, R.; Deconinck, H. 21 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 209 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. 79 2007 Residual distribution schemes on quadrilateral meshes. Zbl 1116.76058 Abgrall, R.; Marpeau, F. 10 2007 On the numerical approximation of first-order Hamilton-Jacobi equations. Zbl 1147.65323 Abgrall, Rémi; Perrier, Vincent 1 2007 ...and 43 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,078 Authors 88 Abgrall, Rémi 82 Dumbser, Michael 47 Shu, Chi-Wang 44 Ricchiuto, Mario 36 Qiu, Jianxian 35 Zhu, Jun 34 Boscheri, Walter 34 Saurel, Richard 33 Balsara, Dinshaw S. 33 Liu, Tiegang 30 Maire, Pierre-Henri 27 Loubère, Raphaël 27 Morgan, Nathaniel R. 25 Öffner, Philipp 25 Wang, Zhijian 24 Mai Duc Thanh 24 Toro, Eleuterio Francisco 22 Kurganov, Alexander 22 Kuzmin, Dmitri 20 Hérard, Jean-Marc 20 Munz, Claus-Dieter 20 Xu, Kun 19 Deng, Xiaogang 19 Tian, Baolin 18 Ferrer, Esteban 18 Shashkov, Mikhail J. 17 Khoo, Boo Cheong 16 Jiang, Song 16 Lukáčová-Medviďová, Mária 16 Nkonga, Boniface 16 Ren, Yuxin 16 Torlo, Davide 16 Zhao, Ning 15 Clain, Stéphane Louis 15 Shen, Zhijun 14 Burton, Donald E. 14 Després, Bruno 14 Vermeire, Brian C. 13 Busto, Saray 13 Congedo, Pietro Marco 13 Coquel, Frédéric 13 Gassner, Gregor J. 13 Gavrilyuk, Sergey L. 13 Helluy, Philippe 13 Jia, Zupeng 13 Men’shov, Igor S. 13 Nordström, Jan 13 Tokareva, Svetlana A. 13 Valero, Eusebio 12 Breil, Jérôme 12 Chalons, Christophe 12 Chan, Jesse 12 Chen, Yibing 12 Cuong, Dao Huy 12 Li, Jiequan 12 Luo, Hong 12 Ni, Guoxi 12 Nishikawa, Hiroaki 12 Pan, Liang 12 Parsani, Matteo 12 Rueda-Ramírez, Andrés Mauricio 12 Xiao, Feng 12 Yu, Xijun 11 Cheng, Juan 11 Deng, Xi 11 Hu, Guanghui 11 Ihme, Matthias 11 Johnsen, Eric 11 Petitpas, Fabien 11 Ranocha, Hendrik 11 Renac, Florent 11 Rubio, Gonzalo 11 Seguin, Nicolas 11 Wang, Zhenming 11 Wu, Kailiang 10 Adams, Nikolaus A. 10 Chandrashekar, Praveen 10 Daude, Frédéric 10 Deconinck, Herman 10 Gaburro, Elena 10 Glaubitz, Jan 10 Guermond, Jean-Luc 10 Lerat, Alain 10 Li, Ruo 10 Müller, Siegfried 10 Persson, Per-Olof 10 Popov, Boyan 10 Shyue, Keh-Ming 10 Zhang, Chao 9 Berthon, Christophe 9 Chizari, Hossain 9 Cockburn, Bernardo 9 Favrie, Nicolas 9 Hantke, Maren 9 Ismail, Farzad 9 Labourasse, Emmanuel 9 Liu, Xiaodong 9 Mishra, Siddhartha 9 Parés Madroñal, Carlos 9 Pazner, Will E. ...and 2,978 more Authors all top 5 Cited in 162 Serials 842 Journal of Computational Physics 315 Computers and Fluids 156 Journal of Scientific Computing 84 Computer Methods in Applied Mechanics and Engineering 55 Communications in Computational Physics 53 Computers & Mathematics with Applications 52 International Journal for Numerical Methods in Fluids 44 Applied Mathematics and Computation 44 SIAM Journal on Scientific Computing 35 Applied Numerical Mathematics 33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 33 Communications on Applied Mathematics and Computation 31 Journal of Computational and Applied Mathematics 30 Journal of Fluid Mechanics 28 Computer Physics Communications 25 International Journal for Numerical Methods in Engineering 23 Advances in Applied Mathematics and Mechanics 22 International Journal of Computational Fluid Dynamics 19 SIAM Journal on Numerical Analysis 19 European Journal of Mechanics. 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