356 citations · 508 across the 7 of their papers we have counts for
8 papers
An almost fail-safe a-posteriori limited high-order CAT scheme
E. Macca, R. Loubere, C. Pares +1
In this paper we blend the high order Compact Approximate Taylor (CAT) numerical schemes with an a-posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyp…
a posteriori stabilized sixth-order finite volume scheme with adaptive stencil construction -- Basics for the 1D steady-state hyperbolic equations
Gaspar J. Machado, Stéphane Clain, Raphaël Loubère
We propose an adaptive stencil construction for high order accurate finite volume schemes aposteriori stabilized devoted to solve one-dimensional steady-state hyperbolic equations.…
Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity
Ilya Peshkov, Walter Boscheri, Raphaël Loubère +2
The aim of this paper is to compare a hyperelastic with a hypoelastic model describing the Eulerian dynamics of solids in the context of non-linear elastoplastic deformations. Spec…
Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime
Giacomo Dimarco, Raphaël Loubère, Victor Michel-Dansac +1
In this work, we consider the development of implicit explicit total variation diminishing (TVD) methods (also termed SSP: strong stability preserving) for the compressible isentro…
An efficient numerical method for solving the Boltzmann equation in multidimensions
Giacomo Dimarco, Raphaël Loubère, Jacek Narski +1
In this paper we deal with the extension of the Fast Kinetic Scheme (FKS) [J. Comput. Phys., Vol. 255, 2013, pp 680-698] originally constructed for solving the BGK equation, to the…
A Posteriori Subcell Limiting of the Discontinuous Galerkin Finite Element Method for Hyperbolic Conservation Laws
Michael Dumbser, Olindo Zanotti, Raphael Loubere +1
The purpose of this work is to propose a novel a posteriori finite volume subcell limiter technique for the Discontinuous Galerkin finite element method for nonlinear systems of hy…
Towards an ultra efficient kinetic scheme Part II: The high order case
Giacomo Dimarco, Raphaël Loubere
In a recent paper we presented a new ultra efficient numerical method for solving kinetic equations of the Boltzmann type (G. Dimarco, R. Loubere, Towards an ultra efficient kineti…
Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation
Giacomo Dimarco, Raphaël Loubere
In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation ope…