output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

Showing 2008 · math.NAShow all

5 papers · 2 filters

math.NA2008★ 2 cited

On a C2-nonlinear subdivision scheme avoiding Gibbs oscillations

Sergio Amat, Karine Dadourian, Jacques Liandrat

This paper is devoted to the presentation and the analysis of a new nonlinear subdivision scheme eliminating the Gibbs oscillations close to discontinuities. Its convergence, stabi…

math.NA2008★ 227 cited

A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods

Jerome Droniou, Robert Eymard, Thierry Gallouët +1

We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids. We prove that the Mimetic Fi…

math.NA2008★ 14 cited

A collocated finite volume scheme to solve free convection for general non-conforming grids

Eric Chénier, Robert Eymard, Raphaele Herbin

We present a new collocated numerical scheme for the approximation of the Navier-Stokes and energy equations under the Boussinesq assumption for general grids, using the velocity-p…

math.NA2008★ 2 cited

An entropy preserving finite-element/finite-volume pressure correction scheme for the drift-flux model

Laura Gastaldo, Raphaele Herbin, Jean-Claude Latché

We present in this paper a pressure correction scheme for the drift-flux model combining finite element and finite volume discretizations, which is shown to enjoy essential stabili…

math.NA2008★ 11 cited

Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces

Robert Eymard, Thierry Gallouët, Raphaele Herbin

A discretisation scheme for heterogeneous anisotropic diffusion problems on general meshes is developed and studied. The unknowns of this scheme are the values at the centre of the…