Rémi Abgrall
Orcid: 0000-0002-5553-7476
According to our database1,
Rémi Abgrall
authored at least 96 papers
between 1999 and 2024.
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Bibliography
2024
SIAM J. Sci. Comput., February, 2024
A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids.
SIAM J. Sci. Comput., 2024
2023
SIAM J. Sci. Comput., August, 2023
Momentum Weighted Interpolation for unsteady weakly compressible two-phase flows on unstructured meshes.
J. Comput. Appl. Math., August, 2023
J. Sci. Comput., June, 2023
Appl. Math. Comput., June, 2023
J. Comput. Phys., April, 2023
"<i>A posteriori</i>" limited high order and robust schemes for transient simulations of fluid flows in gas dynamics.
J. Comput. Phys., March, 2023
Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping.
J. Sci. Comput., February, 2023
A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model.
J. Comput. Phys., 2023
A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: II. Multi-dimensional case.
CoRR, 2023
A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: I. One-dimensional case.
CoRR, 2023
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations.
CoRR, 2023
An arbitrarily high order and asymptotic preserving kinetic scheme in compressible fluid dynamic.
CoRR, 2023
A Monte-Carlo ab-initio algorithm for the multiscale simulation of compressible multiphase flows.
CoRR, 2023
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics.
Appl. Math. Comput., 2023
2022
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
\textit{A Posteriori} local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids.
CoRR, 2022
On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions.
CoRR, 2022
Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum.
CoRR, 2022
2021
Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping.
J. Sci. Comput., 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
2020
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
2019
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
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
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
2018
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
Comput. Methods Appl. Math., 2018
2017
SIAM J. Sci. Comput., 2017
Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties.
Math. Comput. Simul., 2017
J. Sci. Comput., 2017
High Order Schemes for Hyperbolic Problems Using Globally Continuous Approximation and Avoiding Mass Matrices.
J. Sci. Comput., 2017
2016
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
2015
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
J. Comput. Phys., 2015
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015
2014
High-Order Preserving Residual Distribution Schemes for Advection-Diffusion Scalar Problems on Arbitrary Grids.
SIAM 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
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
J. Comput. Phys., 2014
J. Comput. Phys., 2014
An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques.
J. Comput. Phys., 2014
2013
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
2011
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
2010
J. Sci. Comput., 2010
Explicit Runge-Kutta residual distribution schemes for time dependent problems: Second order case.
J. Comput. Phys., 2010
2009
Construction of Simple, Stable, and Convergent High Order Schemes for Steady First Order Hamilton--Jacobi Equations.
SIAM J. Sci. Comput., 2009
2007
SIAM 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
Int. J. Appl. Math. Comput. Sci., 2007
2006
Asymptotic Expansion of a Multiscale Numerical Scheme for Compressible Multiphase Flow.
Multiscale Model. Simul., 2006
J. Comput. Phys., 2006
2003
SIAM J. Sci. Comput., 2003
Numerical Discretization of Boundary Conditions for First Order Hamilton-Jacobi Equations.
SIAM J. Numer. Anal., 2003
2000
High Order Numerical Discretization for Hamilton-Jacobi Equations on Triangular Meshes.
J. Sci. Comput., 2000
1999