Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term

Detailed Proof of Classical Gagliardo–Nirenberg Interpolation Inequality with Historical Remarks

(2021) Alberto Fiorenza et al.   ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

A variational finite volume scheme for Wasserstein gradient flows

(2020) Clément Cancès et al.   NUMERISCHE MATHEMATIK

Discrete Functional Analysis Tools for Some Evolution Equations

(2018) Thierry Gallouët   Computational Methods in Applied Mathematics

Approximation by an iterative method of a low‐Mach model with temperature dependent viscosity

(2018) Caterina Calgaro et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

A nonlinear time compactness result and applications to discretization of degenerate parabolic–elliptic PDEs

(2017) Boris Andreianov et al.   JOURNAL OF FUNCTIONAL ANALYSIS

On the Strong Solution of the Ghost Effect System

(2017) Feimin Huang et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Two-velocity hydrodynamics in fluid mechanics: Part I Well posedness for zero Mach number systems

(2015) Didier Bresch et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

On discrete functional inequalities for some finite volume schemes

(2014) Marianne Bessemoulin-Chatard et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure

(2013) Konstantin Brenner et al.   COMPUTATIONAL GEOSCIENCES

Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model

(2012) T. Gallouët et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Local well-posedness of a dispersive Navier-Stokes system

(2012) C. David Levermore et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data

(2011) F. Bouchut et al.   JOURNAL OF EVOLUTION EQUATIONS

Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces

(2009) R. Eymard et al.   IMA JOURNAL OF NUMERICAL ANALYSIS