Discrete functional analysis tools for some evolution equations

Thierry Gallouët (1)

1 I2M - Institut de Mathématiques de Marseille

We present some discrete functional analysis tools for the proof of convergence of numerical schemes, mainly for equations including diffusion terms such as the Stefan problem or the Navier-Stokes equations in the incompressible and compressible cases. Some of the results covered here have been proved in previous works, coauthored with several coworkers.

Mots clés: Discrete functional analysis; Stefan problem; Navier-Stokes equations

Domaines: Analyse classique [math.CA]; Equations aux dérivées partielles [math.AP]

Thierry Gallouët. Discrete functional analysis tools for some evolution equations. Computational Methods in Applied Mathematics, 2018. ⟨hal-02078379⟩