Rémi Abgrall

According to our database1, Rémi Abgrall authored at least 74 papers between 1999 and 2022.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


On csauthors.net:


Assessment of a Non-Conservative Four-Equation Multiphase System with Phase Transition.
J. Sci. Comput., 2022

High order residual distribution conservative finite difference HWENO scheme for steady state problems.
J. Comput. Phys., 2022

Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization.
J. Comput. Phys., 2022

On the discrete equation model for compressible multiphase fluid flows.
CoRR, 2022

A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model.
CoRR, 2022

Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum.
CoRR, 2022

Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping.
J. Sci. Comput., 2021

THINC scaling method that bridges VOF and level set schemes.
J. Comput. Phys., 2021

J. Comput. Phys., 2021

J. Comput. Phys., 2021

Staggered Residual Distribution scheme for compressible flow.
CoRR, 2021

Hyperbolic balance laws: residual distribution, local and global fluxes.
CoRR, 2021

A pressure-based method for weakly compressible two-phase flows under a Baer-Nunziato type model with generic equations of state and pressure and velocity disequilibrium.
CoRR, 2021

Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes.
CoRR, 2021

High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models.
SIAM J. Sci. Comput., 2020

Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics.
SIAM J. Sci. Comput., 2020

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems.
J. Sci. Comput., 2020

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].
J. Comput. Phys., 2020

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.
CoRR, 2020

On the simulation of multicomponent and multiphase compressible flows.
CoRR, 2020

High Order Residual Distribution for Steady State Problems for Hyperbolic Conservation Laws.
J. Sci. Comput., 2019

Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification.
J. Comput. Appl. Math., 2019

Neural network based limiter with transfer learning.
CoRR, 2019

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability.
CoRR, 2019

Non-equilibrium Model for Weakly Compressible Multi-component Flows: the Hyperbolic Operator.
CoRR, 2019

General polytopial H(div) conformal finite elements and their discretisation spaces.
CoRR, 2019

Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes.
CoRR, 2019

A class of finite dimensional spaces and H(div) conformal elements on general polytopes.
CoRR, 2019

High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics.
Comput. Math. Appl., 2019

A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes.
J. Comput. Phys., 2018

Capturing near-equilibrium solutions: a comparison between high-order Discontinuous Galerkin methods and well-balanced schemes.
CoRR, 2018

Some Remarks About Conservation for Residual Distribution Schemes.
Comput. Methods Appl. Math., 2018

Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics.
SIAM J. Sci. Comput., 2017

Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties.
Math. Comput. Simul., 2017

Construction of a p-Adaptive Continuous Residual Distribution Scheme.
J. Sci. Comput., 2017

High Order Schemes for Hyperbolic Problems Using Globally Continuous Approximation and Avoiding Mass Matrices.
J. Sci. Comput., 2017

Computational science for energy research.
J. Comput. Phys., 2017

A Novel Weakly-Intrusive Non-linear Multiresolution Framework for Uncertainty Quantification in Hyperbolic Partial Differential Equations.
J. Sci. Comput., 2016

Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulation.
J. Comput. Phys., 2016

Robust model reduction by L<sup>1</sup>-norm minimization and approximation via dictionaries: application to nonlinear hyperbolic problems.
Adv. Model. Simul. Eng. Sci., 2016

An ALE Formulation for Explicit Runge-Kutta Residual Distribution.
J. Sci. Comput., 2015

Linear and non-linear high order accurate residual distribution schemes for the discretization of the steady compressible Navier-Stokes equations.
J. Comput. Phys., 2015

Stochastic Discrete Equation Method (sDEM) for two-phase flows.
J. Comput. Phys., 2015

How to Avoid Mass Matrix for Linear Hyperbolic Problems.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

High-Order Preserving Residual Distribution Schemes for Advection-Diffusion Scalar Problems on Arbitrary Grids.
SIAM J. Sci. Comput., 2014

Robust Finite Volume Schemes for Two-Fluid Plasma Equations.
J. Sci. Comput., 2014

A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids.
J. Comput. Phys., 2014

Physics-compatible numerical methods.
J. Comput. Phys., 2014

Water wave propagation in unbounded domains. Part II: Numerical methods for fractional PDEs.
J. Comput. Phys., 2014

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows.
J. Comput. Phys., 2014

Frontiers in Computational Physics: Modeling the Earth System.
J. Comput. Phys., 2014

A one-time truncate and encode multiresolution stochastic framework.
J. Comput. Phys., 2014

An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques.
J. Comput. Phys., 2014

A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids.
J. Comput. Phys., 2013

A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems.
J. Comput. Phys., 2013

J. Sci. Comput., 2011

Preface to the special issue "High order methods for CFD problems".
J. Comput. Phys., 2011

Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes.
J. Comput. Phys., 2011

An Example of High Order Residual Distribution Scheme Using non-Lagrange Elements.
J. Sci. Comput., 2010

Explicit Runge-Kutta residual distribution schemes for time dependent problems: Second order case.
J. Comput. Phys., 2010

A comment on the computation of non-conservative products.
J. Comput. Phys., 2010

Two-Layer Shallow Water System: A Relaxation Approach.
SIAM J. Sci. Comput., 2009

Construction of Simple, Stable, and Convergent High Order Schemes for Steady First Order Hamilton--Jacobi Equations.
SIAM J. Sci. Comput., 2009

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems.
SIAM J. Sci. Comput., 2007

Residual Distribution Schemes on Quadrilateral Meshes.
J. Sci. Comput., 2007

Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes.
J. Comput. Phys., 2007

On the Numerical Approximation of First-Order Hamilton-Jacobi Equations.
Int. J. Appl. Math. Comput. Sci., 2007

Asymptotic Expansion of a Multiscale Numerical Scheme for Compressible Multiphase Flow.
Multiscale Model. Simul., 2006

Essentially non-oscillatory Residual Distribution schemes for hyperbolic problems.
J. Comput. Phys., 2006

Residual Distribution Schemes for Conservation Laws via Adaptive Quadrature.
SIAM J. Sci. Comput., 2003

Numerical Discretization of Boundary Conditions for First Order Hamilton-Jacobi Equations.
SIAM J. Numer. Anal., 2003

High Order Fluctuation Schemes on Triangular Meshes.
J. Sci. Comput., 2003

High Order Numerical Discretization for Hamilton-Jacobi Equations on Triangular Meshes.
J. Sci. Comput., 2000

A Simple Method for Compressible Multifluid Flows.
SIAM J. Sci. Comput., 1999