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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 (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.
, 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
URN: urn:nbn:se:kth:diva-149397DOI: 10.1007/978-3-642-12535-5_11ISI: 000278091900011ScopusID: 2-s2.0-77953764825ISBN: 3642125344ISBN: 978-3-642-12534-8OAI: diva2:739553
7th International Conference on Large-Scale Scientific Computations, LSSC 2009; Sozopol; Bulgaria; 4 June 2009 through 8 June 2009, Bulgaria

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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ReferencesLink to record
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