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Efficient Preconditioners for Large Scale Binary Cahn-Hilliard Models
Department of Information Technology, Uppsala University. (Division of Scientific Computing)
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0003-2830-0454
Department of Information Technology, Uppsala University. (Division of Scientific Computing)
2012 (English)In: Computational Methods in Applied Mathematics, ISSN 1609-4840, E-ISSN 1609-9389, Vol. 12, no 1, 1-22 p.Article in journal (Refereed) Published
Abstract [en]

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 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 compar- isons with other solution methods. 

Place, publisher, year, edition, pages
2012. Vol. 12, no 1, 1-22 p.
Keyword [en]
precondition; diffusion interface; multi phase flow
National Category
Fluid Mechanics and Acoustics
Research subject
SRA - E-Science (SeRC)
Identifiers
URN: urn:nbn:se:kth:diva-89348DOI: 10.2478/cmam-2012-0001Scopus ID: 2-s2.0-84872605397OAI: oai:DiVA.org:kth-89348DiVA: diva2:502925
Funder
Swedish Research Council, 2008-5072Swedish e‐Science Research Center
Note

QC 20120911

Available from: 2012-02-14 Created: 2012-02-14 Last updated: 2017-12-07Bibliographically approved

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Do-Quang, Minh

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