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Element-by-element Schur complement approximations for general nonsymmetric matrices of two-by-two block form
KTH, School of Engineering Sciences (SCI), Mechanics, Physicochemical Fluid Mechanics.ORCID iD: 0000-0003-2830-0454
2010 (English)In: Large-Scale Scientific Computing, Springer Berlin/Heidelberg, 2010, 108-115 p.Conference paper, Published paper (Refereed)
Abstract [en]

We consider element-by-element Schur complement approximations for indefinite and general nonsymmetric matrices of two-by-two block form, as arising in finite element discretized systems of PDEs. The paper provides some analysis of the so-obtained approximation and attempts to quantify the quality of the underlying two-by-two matrix splitting in a way similar to that used for symmetric positive definite matrices. The quality of the approximation is illustrated numerically.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2010. 108-115 p.
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 5910
Keyword [en]
Discretized systems, Element by elements, Finite Element, Matrix splittings, Non-symmetric matrices, Schur complement, Symmetric positive definite matrices, Matrix algebra
National Category
Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-149397DOI: 10.1007/978-3-642-12535-5_11ISI: 000278091900011Scopus ID: 2-s2.0-77953764825ISBN: 3642125344 (print)ISBN: 978-3-642-12534-8 (print)OAI: oai:DiVA.org:kth-149397DiVA: diva2:739553
Conference
7th International Conference on Large-Scale Scientific Computations, LSSC 2009; Sozopol; Bulgaria; 4 June 2009 through 8 June 2009, Bulgaria
Note

QC 20140821

Available from: 2014-08-21 Created: 2014-08-21 Last updated: 2014-08-21Bibliographically approved

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Do-Quang, Minh

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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More styles
Language
  • de-DE
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  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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  • asciidoc
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