21 citations · 44 across the 9 of their papers we have counts for
3 papers · 1 filter
Embedding General Conservation Constraints in Discretizations of Hyperbolic Systems on Arbitrary Meshes: A Multidimensional Framework
Rémi Abgrall, Pierre-Henri Maire, Mario Ricchiuto
The purpose of this review is to discuss the notion of conservation in hyperbolic systems and how one can formulate it at the discrete level depending on the solution representatio…
A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
Walter Boscheri, Michael Dumbser, Raphael Loubère +1
In this work we present a novel structure-preserving scheme for the discretization of the Godunov-Peshkov-Romenski (GPR) model of continuum mechanics written in Lagrangian form. Th…
A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes
R. Abgrall, M. Dumbser, P. H. Maire
We introduce a new family of discontinuous Galerkin (DG) finite element schemes for the discretization of first order systems of hyperbolic partial differential equations (PDE) on…