Cahn-Hilliard finite elements non-conforming Crouzeix-Raviart two-by-two block matrices preconditioning Schur complement
2011 (English)Report (Other (popular science, discussion, etc.))
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 theta-method in time. The preconditioner utilizes to a full extent the algebraic structure of the underlying matrices and exhibits optimal convergence and computational complexity properties. Large scale umerical experiments are included as well as performance comparisons with other solution methods.
Place, publisher, year, edition, pages
2011. , 26 p.
, Technical reports from the Department of Information Technology, ISSN 1404-3203 ; 2011-11
Cahn-Hilliard finite elements two-by-two block matrices preconditioning
Research subject SRA - E-Science (SeRC)
IdentifiersURN: urn:nbn:se:kth:diva-47860ISBN: 1404-3203OAI: oai:DiVA.org:kth-47860DiVA: diva2:456472
FunderSwedish e‐Science Research Center
QC 201111152011-11-142011-11-142011-11-15Bibliographically approved