Rémi Abgrall

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Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes pdf

Rémi Abgrall, Philipp Öffner, Hendrik Ranocha, 2019, J. Comput. Phys..

Essentially non-oscillatory Residual Distribution schemes for hyperbolic problems

Rémi Abgrall, R. Abgrall, 2006, J. Comput. Phys..

A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems

Rémi Abgrall, Pietro Marco Congedo, 2013, J. Comput. Phys..

Asymptotic Expansion of a Multiscale Numerical Scheme for Compressible Multiphase Flow

Rémi Abgrall, Vincent Perrier, R. Abgrall, 2006, Multiscale Model. Simul..

Multi-objective Design Optimization Using High-Order Statistics for CFD Applications

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2015 .

Two-Layer Shallow Water System: A Relaxation Approach

Rémi Abgrall, Smadar Karni, R. Abgrall, 2009, SIAM J. Sci. Comput..

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability

Rémi Abgrall, Svetlana Tokareva, Philipp Öffner, 2019, Communications on Applied Mathematics and Computation.

Letter from the Editor: About "A linear, second-order, energy stable, fully adaptive finite-element method for phase-field modelling of wetting phenomena" by B. Aymard, U. Vaes, M. Pradras and S. Kalliadasis [J. Comput. Phys. X 2 (2019) 100010]

Rémi Abgrall, 2020, J. Comput. Phys..

37th advanced CFD lecture series recent developments in higher order methods and industrial application in aeronautics : December 9-12, 2013

Rémi Abgrall, Herman Deconinck, 2014 .

New Results - Mathematical Modelling

Rémi Abgrall, Charbel Farhat, Alain Dervieux, 2008 .

Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes

Rémi Abgrall, Herman Deconinck, Mario Ricchiuto, 2007, J. Comput. Phys..

High‐order CFD methods: current status and perspective

Rémi Abgrall, Miguel R. Visbal, Per-Olof Persson, 2013 .

Stochastic Discrete Equation Method (sDEM) for two-phase flows

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2015, J. Comput. Phys..

Non-equilibrium Model for Weakly Compressible Multi-component Flows: the Hyperbolic Operator pdf

Rémi Abgrall, Barbara Re, R. Abgrall, 2019, ArXiv.

High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics

Rémi Abgrall, Paola Bacigaluppi, Svetlana V. Tokareva, 2018, Comput. Math. Appl..

Semi-intrusive and non-intrusive stochastic methods for aerospace applications

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2011 .

Special issue: Residual distribution schemes, discontinuous Galerkin schemes and adaptation. Selected papers based on the presentation at the workshop, Bordeaux, France, June 23--25, 2002.

Rémi Abgrall, Herman Deconinck, 2005 .

Editorial

Rémi Abgrall, 2019, J. Comput. Phys. X.

Model reduction usingL1-norm minimization as an application to nonlinear hyperbolic problems: Model reduction for hyperbolic problems

Rémi Abgrall, Roxana Crisovan, R. Abgrall, 2018 .

Construction of a p-Adaptive Continuous Residual Distribution Scheme

Rémi Abgrall, H. Beaugendre, C. Dobrzynski, 2017, J. Sci. Comput..

Robust model reduction by $$L^{1}$$L1-norm minimization and approximation via dictionaries: application to nonlinear hyperbolic problems

Rémi Abgrall, David Amsallem, Roxana Crisovan, 2016, Adv. Model. Simul. Eng. Sci..

How to Avoid Mass Matrix for Linear Hyperbolic Problems

Rémi Abgrall, Paola Bacigaluppi, Svetlana V. Tokareva, 2016, ENUMATH.

Water wave propagation in unbounded domains. Part II: Numerical methods for fractional PDEs

Rémi Abgrall, Smadar Karni, G. I. Jennings, 2014, J. Comput. Phys..

Adaptive strategy in multiresolution framework for uncertainty quantification

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2012 .

Computational science for energy research

Rémi Abgrall, Barry Koren, 2017, J. Comput. Phys..

Preface to the special issue "High order methods for CFD problems"

Rémi Abgrall, Jianxian Qiu, R. Abgrall, 2011, J. Comput. Phys..

Editorial

Rémi Abgrall, 2019, J. Comput. Phys..

Efficient numerical approximation of compressible multi-material flow for unstructured meshes

Rémi Abgrall, Boniface Nkonga, Richard Saurel, 2003 .

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems

Rémi Abgrall, Philipp Öffner, Jan Nordström, 2019, J. Sci. Comput..

A comment on the computation of non-conservative products

Rémi Abgrall, Smadar Karni, R. Abgrall, 2010, J. Comput. Phys..

An innovative phase transition modeling for reproducing cavitation through a five-equation and seven-equation models and complex equation of state

Rémi Abgrall, Pietro Marco Congedo, Maria Giovanna Rodio, 2015 .

Residual Distribution Schemes on Quadrilateral Meshes

Rémi Abgrall, F. Marpeau, R. Abgrall, 2007, J. Sci. Comput..

Innovative formulation for the numerical simulation of uncertain shock waves in dispersed two-phase flows

Rémi Abgrall, Pietro Marco Congedo, Maria Giovanna Rodio, 2012 .

High Order Fluctuation Schemes on Triangular Meshes

Rémi Abgrall, Philip L. Roe, R. Abgrall, 2003, J. Sci. Comput..

Robust performance assessment for an oscillating airfoil using a Time-Spectral Method and a non-intrusive uncertainty propagation method

Rémi Abgrall, Pietro Marco Congedo, Christophe Eric Corre, 2012 .

A one-time truncate and encode multiresolution stochastic framework

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2014, J. Comput. Phys..

An ALE Formulation for Explicit Runge–Kutta Residual Distribution

Rémi Abgrall, Mario Ricchiuto, Luca Arpaia, 2014, Journal of Scientific Computing.

A Third-Order ENO Scheme on Unstructured Meshes. Application to Shock Wave Calculations

Rémi Abgrall, 1995 .

An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques

Rémi Abgrall, H. Beaugendre, C. Dobrzynski, 2014, J. Comput. Phys..

Explicit Runge-Kutta residual distribution schemes for time dependent problems: Second order case

Rémi Abgrall, Mario Ricchiuto, R. Abgrall, 2010, J. Comput. Phys..

Robust Finite Volume Schemes for Two-Fluid Plasma Equations

Rémi Abgrall, Harish Kumar, R. Abgrall, 2014, J. Sci. Comput..

Handbook of numerical methods for hyperbolic problems: applied and modern issues

Rémi Abgrall, Chi-Wang Shu, Chi-Wang Shu, 2017 .

Residual Schemes Applied to an Embedded Method Expressed on Unstructured Adapted Grids

Rémi Abgrall, Cécile Dobrzynski, Héloïse Beaugendre, 2014 .

A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids

Rémi Abgrall, Pierre-Henri Maire, François Vilar, 2014, J. Comput. Phys..

Residual schemes for penalized Navier-Stokes equations on adapted grids

Rémi Abgrall, Cécile Dobrzynski, Héloïse Beaugendre, 2014 .

Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification

Rémi Abgrall, Svetlana V. Tokareva, Roxana Crisovan, 2018, J. Comput. Appl. Math..

Handbook of Numerical Methods for Hyperbolic Problems : Basic and Fundamental Issues

Rémi Abgrall, R. Abgrall, 2016 .

Status of multidimensional upwind residual distribution schemes and applications in aeronautics

Rémi Abgrall, Kurt Sermeus, Herman Deconinck, 2000 .

Construction of Simple, Stable, and Convergent High Order Schemes for Steady First Order Hamilton--Jacobi Equations

Rémi Abgrall, R. Abgrall, 2009, SIAM J. Sci. Comput..

Numerical Discretization of Boundary Conditions for First Order Hamilton-Jacobi Equations

Rémi Abgrall, R. Abgrall, 2003, SIAM J. Numer. Anal..

High Order Nonlinear Numerical Schemes for Evolutionary PDEs: Proceedings of the European Workshop HONOM 2013, Bordeaux, France, March 18-22, 2013

Rémi Abgrall, Pietro Marco Congedo, Vincent Perrier, 2014 .

A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids

Rémi Abgrall, Raphaël Loubère, Jérôme Breil, 2013, J. Comput. Phys..

A Simple Method for Compressible Multifluid Flows

Rémi Abgrall, Richard Saurel, R. Abgrall, 1999, SIAM J. Sci. Comput..

A Novel Weakly-Intrusive Non-linear Multiresolution Framework for Uncertainty Quantification in Hyperbolic Partial Differential Equations

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2015, Journal of Scientific Computing.

High Order Residual Distribution for Steady State Problems for Hyperbolic Conservation Laws

Rémi Abgrall, Jianxian Qiu, Jianfang Lin, 2018, J. Sci. Comput..

A Compact Residual Scheme for Unsteady Compressible Flow Problems

Rémi Abgrall, Mohamed Mezine, R. Abgrall, 2003 .

Frontiers in Computational Physics: Modeling the Earth System

Feng Xiao, Rémi Abgrall, Piotr K. Smolarkiewicz, 2014, J. Comput. Phys..

A class of finite dimensional spaces and H(div) conformal elements on general polytopes pdf

Rémi Abgrall, Philipp Öffner, Élise Le Mélédo, 2019, ArXiv.

Very High Order Residual Distribution Schemes for Steady Flow Problems

Rémi Abgrall, Mario Ricchiuto, Adam Larat, 2009 .

A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes

Rémi Abgrall, R. Abgrall, 2017, J. Comput. Phys..

Residual Distribution Schemes for Conservation Laws via Adaptive Quadrature

Rémi Abgrall, Timothy Barth, R. Abgrall, 2013, SIAM J. Sci. Comput..

Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics

Rémi Abgrall, Svetlana V. Tokareva, 2017, SIAM J. Sci. Comput..

A New Limiter that Improves TVD-MUSCL Schemes

Rémi Abgrall, L. Gozalo, 2001 .

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows

Rémi Abgrall, Michael Dumbser, Dinshaw S. Balsara, 2014, J. Comput. Phys..

Computations of compressible multifluids

Rémi Abgrall, Smadar Karni, R. Abgrall, 2001 .

Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes

Rémi Abgrall, Mario Ricchiuto, Adam Larat, 2011, J. Comput. Phys..

The European Data Base - A new CFD validation tool for the design ofspace vehicles

Rémi Abgrall, Jean-Antoine Désidéri, Jacques Periaux, 1993 .

High Order Numerical Discretization for Hamilton–Jacobi Equations on Triangular Meshes

Rémi Abgrall, Steeve Augoula, R. Abgrall, 2000, J. Sci. Comput..

Editorial

Rémi Abgrall, 2016, J. Comput. Phys..

Some Remarks About Conservation for Residual Distribution Schemes

Rémi Abgrall, R. Abgrall, 2017, Comput. Methods Appl. Math..

On the Numerical Approximation of First-Order Hamilton-Jacobi Equations

Rémi Abgrall, Vincent Perrier, R. Abgrall, 2007, Int. J. Appl. Math. Comput. Sci..

High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models

Rémi Abgrall, Davide Torlo, R. Abgrall, 2020, SIAM J. Sci. Comput..

Scientific Foundations - Uncertainty quantification

Rémi Abgrall, Pietro Marco Congedo, Mario Ricchiuto, 2011 .

High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes

Rémi Abgrall, Oliver Friedrich, Thomas Sonar, 1999 .

Physics-compatible numerical methods

Rémi Abgrall, Pavel B. Bochev, Jason Frank, 2014, J. Comput. Phys..

High-Order Preserving Residual Distribution Schemes for Advection-Diffusion Scalar Problems on Arbitrary Grids

Rémi Abgrall, Dante De Santis, Mario Ricchiuto, 2014, SIAM J. Sci. Comput..

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems

Rémi Abgrall, Jérôme Breil, Pierre-Henri Maire, 2007, SIAM J. Sci. Comput..

Capturing near-equilibrium solutions: a comparison between high-order Discontinuous Galerkin methods and well-balanced schemes pdf

Rémi Abgrall, Romain Teyssier, Maria Han Veiga, 2018, Communications in Computational Physics.

Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics

Rémi Abgrall, Konstantin Lipnikov, Nathaniel R. Morgan, 2020, SIAM J. Sci. Comput..

On the predictive estimation of converging shock waves

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2013 .

Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulation

Rémi Abgrall, Pietro Marco Congedo, Kunkun Tang, 2016, J. Comput. Phys..

General polytopial H(div) conformal finite elements and their discretisation spaces pdf

Rémi Abgrall, Philipp Öffner, Élise Le Mélédo, 2019, ESAIM: Mathematical Modelling and Numerical Analysis.

Problem IV: Flow over a 3D Obstacle

Rémi Abgrall, Jean-Antoine Désidéri, Jacques Periaux, 1992 .

Sensitivity analysis and characterization of the uncertain input data for the EXPERT vehicle

Rémi Abgrall, Pietro Marco Congedo, N. Villedieu, 2013 .

Efficient ANOVA decomposition and metamodel-based multi-objective robust optimization

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2011 .

General polytopial H(div) conformal finite elements and their discretisation spaces pdf

Rémi Abgrall, Philipp Öffner, Élise Le Mélédo, 2021, ESAIM: Mathematical Modelling and Numerical Analysis.

Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes pdf

Rémi Abgrall, Philipp Öffner, Davide Torlo, 2021, ArXiv.

Preface

Feng Xiao, Rémi Abgrall, Nikolaus Adams, 2021, J. Comput. Phys..

A method for computing curved meshes via the linear elasticity analogy

Rémi Abgrall, Cécile Dobrzynski, Algiane Froehly, 2014 .

A simple construction of very high order non-oscillatory compact schemes on unstructured meshes

Rémi Abgrall, Mario Ricchiuto, Adam Larat, 2009 .

Toward a Unified Multiresolution Scheme in the Combined Physical/Stochastic Space for Stochastic Differential Equations

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2012 .

A Discontinuous Projection Algorithm for Hamilton Jacobi Equations

Rémi Abgrall, Steeve Augoula, R. Abgrall, 2000 .

Stable and convergent residual distribution for time-dependent conservation laws

Rémi Abgrall, Mario Ricchiuto, 2009 .

Towards very high‐order accurate schemes for unsteady convection problems on unstructured meshes

Rémi Abgrall, Mohamed Mezine, Nikolai Andrianov, 2005 .

High order methods for CFD

Rémi Abgrall, Mario Ricchiuto, R. Abgrall, 2017 .

Ghost-Fluids for the Poor: A Single Fluid Algorithm for Multifluids

Rémi Abgrall, Smadar Karni, R. Abgrall, 2001 .

An adaptive multiresolution semi‐intrusive scheme for UQ in compressible fluid problems

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2015 .

Numerical approximation of parabolic problems by means of residual distribution schemes

Rémi Abgrall, Dante De Santis, Mario Ricchiuto, 2011 .

APPROXIMATION DU PROBLEME DE RIEMANN VRAIMENT MULTIDIMENSIONNEL DES EQUATIONS D'EULER PAR UNE METHODE DE TYPE ROE (I) : LA LINEARISATION

Rémi Abgrall, 1994 .

Toward the ultimate conservative scheme: following the quest

Rémi Abgrall, R. Abgrall, 2001 .

An adaptive, residual based, splitting approach for the penalized Navier Stokes equations

Rémi Abgrall, Mario Ricchiuto, Cécile Dobrzynski, 2016 .

A Lagrangian Discontinuous Galerkin‐type method on unstructured meshes to solve hydrodynamics problems

Rémi Abgrall, Raphaël Loubère, Jean Ovadia, 2004 .

High-order statistics in global sensitivity analysis: Decomposition and model reduction

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2016 .

TSI metamodels-based multi-objective robust optimization

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2013 .

Big ray-tracing and eikonal solver on unstructured grids: Application to the computation of a multivalued traveltime field in the Marmousi model

Rémi Abgrall, Jean-David Benamou, R. Abgrall, 1999 .

On the use of the Sparse Grid techniques coupled with Polynomial Chaos

Rémi Abgrall, Gianluca Geraci, Pietro Marco Congedo, 2011 .

Towards a general stabilisation method for conservation laws using a multilayer Perceptron neural network: 1D scalar and system of equations

Rémi Abgrall, Maria Han Veiga, R. Abgrall, 2018 .

A high-order cell-centered finite volume scheme for simulating three dimensional anisotropic diffusion equations on unstructured grids

Rémi Abgrall, Pierre-Henri Maire, Pascal Jacq, 2013 .

Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems

Rémi Abgrall, Mohamed Mezine, R. Abgrall, 2003 .

High order residual distribution scheme for Navier-Stokes equations.

Rémi Abgrall, Dante De Santis, R. Abgrall, 2011 .

Uncertainty Quantification for Hyperbolic Systems of Conservation Laws

Rémi Abgrall, Siddhartha Mishra, R. Abgrall, 2017 .

A Lax–Wendroff type theorem for residual schemes

Rémi Abgrall, Boniface Nkonga, R. Abgrall, 2001 .

On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation

Rémi Abgrall, R. Abgrall, 1994 .

Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics

Rémi Abgrall, Pierre-Henri Maire, François Vilar, 2011 .

A non-linear residual distribution scheme for real-gas computations

Rémi Abgrall, Pietro Marco Congedo, Dante De Santis, 2014 .

Conservative numerical schemes for multi-component inviscid flows

Rémi Abgrall, Loula Fezoui, Bernard Larrouturou, 1992 .

An innovative phase transition modeling for reproducing cavitation through a five-equation model and theoretical generalization to six and seven-equation models

Rémi Abgrall, Maria Giovanna Rodio, R. Abgrall, 2015 .

An adaptive shock-capturing algorithm for solving unsteady reactive flows

Rémi Abgrall, G. Billet, R. Abgrall, 2003 .

Design of an Essentially Nonoscillatory Reconstruction Procedure on Finite-Element-Type Meshes

Rémi Abgrall, R. Abgrall, 1991 .

On uniformly high-order accurate residual distribution schemes for advection-diffusion

Rémi Abgrall, Herman Deconinck, Mario Ricchiuto, 2008 .

A method for computing curved 2D and 3D meshes via the linear elasticity analogy: preliminary results

Rémi Abgrall, Cécile Dobrzynski, Algiane Froehly, 2012 .

Residual distribution schemes: Current status and future trends

Rémi Abgrall, R. Abgrall, 2006 .

Special issue: Low Mach number flows. Selected papers based on the presentation at the international conference, Porquerolles Island, France, June 21--25, 2004.

Rémi Abgrall, Hervé Guillard, 2005 .

Numerical Approximation of a Compressible Multiphase System

Rémi Abgrall, Harish Kumar, R. Abgrall, 2014 .

An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flows

Rémi Abgrall, R. Abgrall, 1994 .

A Lagrangian scheme for multidimensional compressible flow problems.

Rémi Abgrall, Jérôme Breil, Pierre-Henri Maire, 2007 .

On hybrid residual distribution–Galerkin discretizations for steady and time dependent viscous laminar flows

Rémi Abgrall, Herman Deconinck, Mario Ricchiuto, 2015 .

Numerical simulation of cavitating flows under uncertainty

Rémi Abgrall, Pietro Marco Congedo, Maria Giovanna Rodio, 2016 .

A simple semi-intrusive method for Uncertainty Quantification of shocked flows, comparison with a non-intrusive Polynomial Chaos method

Rémi Abgrall, Pietro Marco Congedo, Christophe Eric Corre, 2010 .

Discrete equations for physical and numerical compressible multiphase mixtures

Rémi Abgrall, Richard Saurel, R. Abgrall, 2003 .

Some examples of high order simulations parallel of inviscid flows on unstructured and hybrid meshes by residual distribution schemes

Rémi Abgrall, Mario Ricchiuto, R. Abgrall, 2012 .

Eno schemes on unstructured meshes

Rémi Abgrall, R. Abgrall, F. Lafon, 1993 .

On the use of Mühlbach expansions in the recovery step of ENO methods

Rémi Abgrall, Thomas Sonar, R. Abgrall, 1997 .

A simple, flexible and generic deterministic approach to uncertainty quantifications in non linear problems: application to fluid flow problems

Rémi Abgrall, 2008 .

A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art

Rémi Abgrall, R. Abgrall, 2012 .

An extension of Roe's upwind scheme to algebraic equilibrium real gas models

Rémi Abgrall, R. Abgrall, 1991 .

Development of Residual Distribution Schemes for theDiscontinuous GalerkinMethod: The ScalarCase with Linear Elements

Rémi Abgrall, Chi-Wang Shu, 2009 .

Sensitivity analysis using anchored ANOVA expansion and high‐order moments computation

Rémi Abgrall, Pietro Marco Congedo, Kunkun Tang, 2015 .

Modelling phase transition in metastable liquids: application to cavitating and flashing flows

Rémi Abgrall, Richard Saurel, Fabien Petitpas, 2008, Journal of Fluid Mechanics.

Multiresolution Representation in Unstructured Meshes

Rémi Abgrall, R. Abgrall, 1998 .

A Residual Distribution Method Using Discontinuous Elements for the Computation of Possibly Non Smooth Flows

Rémi Abgrall, 2010 .

Construction of Higher Order Residual Distribution Schemes

Rémi Abgrall, Cédric Tavé, 2009 .