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Cahn-Hilliard finite elements non-conforming Crouzeix-Raviart two-by-two block matrices preconditioning Schur complement
Department of Information Technology, Uppsala University. (Division of Scientific Computing)
KTH, School of Engineering Sciences (SCI), Mechanics, Physicochemical Fluid Mechanics. (Micro Complex)ORCID iD: 0000-0003-2830-0454
Department of Information Technology, Uppsala University. (Division of Scientific Computing)
2011 (English)Report (Other (popular science, discussion, etc.))
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 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.
Series
Technical reports from the Department of Information Technology, ISSN 1404-3203 ; 2011-11
Keyword [en]
Cahn-Hilliard finite elements two-by-two block matrices preconditioning
National Category
Computer Science
Research subject
SRA - E-Science (SeRC)
Identifiers
URN: urn:nbn:se:kth:diva-47860OAI: oai:DiVA.org:kth-47860DiVA: diva2:456472
Projects
VR 2008-5072
Funder
Swedish e‐Science Research Center
Note

QC 20111115

Available from: 2011-11-14 Created: 2011-11-14 Last updated: 2017-02-23Bibliographically approved

Open Access in DiVA

No full text

Other links

http://www.it.uu.se/research/publications/reports/2011-011/2011-011-nc.pdf

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Do-Quang, Minh

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • vancouver
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  • en-US
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  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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  • asciidoc
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