This article aims at presenting a new local subcell monolithic Discontinuous-Galerkin/Finite-
Volume (DG/FV) convex property preserving scheme solving system of conservation laws on …

We propose a bound-preserving (BP) Point-Average-Moment PolynomiAl-interpreted
(PAMPA) scheme by blending third-order and first-order constructions. The originality of the …

The properties of the high-order discontinuous Galerkin spectral element method (DGSEM)
with implicit backward Euler time stepping are investigated for the approximation of …

In this work, we propose an accurate, robust (the solution remains in the set of states), and
stable discretization of a nonconservative model for the simulation of compressible …

We show that finite element discretizations of incompressible flow problems can be
designed to ensure preservation/dissipation of kinetic energy not only globally but also …

We consider discontinuous Galerkin (DG) discretizations of hyperbolic conservation laws.
The piecewise-constant (P0) version corresponds to a low-order finite volume method …