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Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems
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SYSNO ASEP 0438526 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems Author(s) Axelsson, Owe (UGN-S) RID
Blaheta, Radim (UGN-S) RID, SAI, ORCID
Byczanski, Petr (UGN-S)
Karátson, J. (HU)
Ahmad, B. (SA)Number of authors 5 Source Title Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427
Roč. 280, č. 280 (2015), s. 141-157Number of pages 17 s. Publication form Online - E Language eng - English Country NL - Netherlands Keywords preconditioners ; heterogeneous coefficients ; regularized saddle point Inner–outer iterations ; Darcy flow Subject RIV BA - General Mathematics R&D Projects ED1.1.00/02.0070 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UGN-S - RVO:68145535 UT WOS 000369454900021 EID SCOPUS 2-s2.0-84919723452 DOI 10.1016/j.cam.2014.11.044 Annotation Saddle point problems arise in the modeling of many important practical situations. Preconditioners for the corresponding matrices of block-triangular form, based on coupled inner–outer iteration methods, are analyzed and applied to a Darcy flow problem, possibly with strong heterogeneity and non-symmetric saddle point systems. Using proper regularized forms of the given matrix and its preconditioner, it is shown that the eigenvalues cluster about one or two points on the real axis for large values of the regularization parameters and that eigenvalue bounds do not depend on this variation. Therefore, just two outer iterations can suffice. On the other hand, several iterations may be needed to solve the inner iteration systems. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2015 Electronic address http://www.sciencedirect.com/science/article/pii/S0377042714005238
Number of the records: 1