Séance Séminaire

Séminaire des Doctorant·e·s

A Hybrid High-Order method for the Cahn-Hilliard problem in mixed form

In the presentation I will discuss about a variant of the Hybrid High-Order method to solve the Cahn-Hilliard problem that describes the process of phase separation (e.g. in a binary alloy). The space discretization hinges on local reconstruction operators from hybrid polynomial unknowns at elements and faces. The method supports fairly general meshes (possibly containing polygonal elements and nonmatching interfaces) and arbitrary order. Error analysis yields optimal convergence rates in energy-like norms.