Accessible Requires Authentication Published by De Gruyter January 1, 2012

Efficient Preconditioners for Large Scale Binary Cahn-Hilliard Models

Petia Boyanova, Minh Do-Quang and Maya Neytcheva

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 diphasic flows and the construction and efficiency of a preconditioner for the algebraic systems arising from finite element discretizations in space and the θ-method in time. The preconditioner utilises to a full extent the algebraic structure of the underlying matrices and exhibits optimal convergence and computational complexity properties. Various numerical experiments, including large scale examples, are presented as well as performance comparisons with other solution methods.

Received: 2011-04-19
Revised: 2011-11-05
Accepted: 2011-11-18
Published Online: 2012
Published in Print: 2012

© Institute of Mathematics, NAS of Belarus