R. Eymard

collaborators

3 papers

math.AP2026

The omnidirectional trace in H 1 ( $I^c ◯$ )

Robert Eymard, Thierry GallouÃ«t, David Maltese +1

We first prove that all the functions in L 2 whose directional derivative is in L 2 have a directional trace on the boundary of any open bounded domain, without assumptions on its…

math.FA2026

Trace operator on H 1 ( $I^c ◯$ ) for general open bounded domains

Robert Eymard, Thierry GallouÃ«t, David Maltese +1

In the case of any bounded open set $I^c ◯$ $\subset$ R d with boundary $\partial$ $I^c ◯$ , we first construct a directional trace in any direction $I^¸$ of the unit sphere, for any u $\in…

math.NA2026

Convergence of a Control Volume Finite Element scheme for a cross-diffusion system modeling ion transport

Arne Berrens, Robert Eymard

An approximation of a system coupling the cross-diffusion of chemical species within a solvent, subjected to an electric field, is obtained through a control volume finite element…

The omnidirectional trace in H 1 (I^c◯)

Trace operator on H 1 (I^c◯) for general open bounded domains

Convergence of a Control Volume Finite Element scheme for a cross-diffusion system modeling ion transport

The omnidirectional trace in H 1 ( $I^c ◯$ )

Trace operator on H 1 ( $I^c ◯$ ) for general open bounded domains