Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F15%3A00438526" target="_blank" >RIV/68145535:_____/15:00438526 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0377042714005238" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042714005238</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2014.11.044" target="_blank" >10.1016/j.cam.2014.11.044</a>
Alternative languages
Result language
angličtina
Original language name
Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Computational and Applied Mathematics
ISSN
0377-0427
e-ISSN
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Volume of the periodical
280
Issue of the periodical within the volume
280
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
17
Pages from-to
141-157
UT code for WoS article
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EID of the result in the Scopus database
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