3 papers
math.NA2023
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity
J Droniou, R Eymard, T Gallouët +2
We consider a general linear parabolic problem with extended time boundary conditions (including initial value problems and periodic ones), and approximate it by the implicit Euler…
math.NA2015
Layer-averaged Euler and Navier-Stokes equations
Marie-Odile Bristeau, Cindy Guichard, Bernard Di Martino +1
In this paper we propose a strategy to approximate incompressible hydrostatic free surface Euler and Navier-Stokes models. The main advantage of the proposed models is that the wat…
math.AP2015
Numerical analysis of a robust free energy diminishing Finite Volume scheme for parabolic equations with gradient structure
Clément Cancès, Cindy Guichard
We present a numerical method for approximating the solutions of degenerate parabolic equations with a formal gradient flow structure. The numerical method we propose preserves at…