Solution Methods for the Cahn-Hilliard Equation Discretized by Conforming and Non-Conforming Finite Elements
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 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.
Place, publisher, year, edition, pages
2011. , 40 p.
, Technical reports from the Department of Information Technology, ISSN 1404-3203 ; 2011-004
Cahn-Hilliard, finite elements, non-conforming, Crouzeix-Raviart, two-by-two block matrices preconditioning, Schur complement
Research subject SRA - E-Science (SeRC)
IdentifiersURN: urn:nbn:se:kth:diva-47852ISBN: 1404-3203OAI: oai:DiVA.org:kth-47852DiVA: diva2:456469
FunderSwedish e‐Science Research Center
QC 201111152011-11-142011-11-142011-11-15Bibliographically approved