Element-by-element Schur complement approximations for general nonsymmetric matrices of two-by-two block form
2010 (English)In: Large-Scale Scientific Computing, Springer Berlin/Heidelberg, 2010, 108-115 p.Conference paper (Refereed)
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
Discretized systems, Element by elements, Finite Element, Matrix splittings, Non-symmetric matrices, Schur complement, Symmetric positive definite matrices, Matrix algebra
IdentifiersURN: 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: oai:DiVA.org:kth-149397DiVA: diva2:739553
7th International Conference on Large-Scale Scientific Computations, LSSC 2009; Sozopol; Bulgaria; 4 June 2009 through 8 June 2009, Bulgaria
QC 201408212014-08-212014-08-212014-08-21Bibliographically approved