Intern rapport

Solution methods for the Cahn–Hilliard equation discretized by conforming and non-conforming finite elements

Abstract

In this work we consider preconditioned iterative solution methods for numerical simulations of multiphase flow problems, modelled by the Cahn-Hilliard equation. We focus on the construction and efficiency of various preconditioning techniques and the effect of two discretization methods – conforming and non-conforming finite elements spaces – on those techniques.