A Comparison of Preconditioning Methods for Saddle Point Problems with an Application to Porous Media Flow Problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F16%3A00468161" target="_blank" >RIV/68145535:_____/16:00468161 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/chapter/10.1007%2F978-3-319-40361-8_5" target="_blank" >http://link.springer.com/chapter/10.1007%2F978-3-319-40361-8_5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-40361-8_5" target="_blank" >10.1007/978-3-319-40361-8_5</a>
Alternative languages
Result language
angličtina
Original language name
A Comparison of Preconditioning Methods for Saddle Point Problems with an Application to Porous Media Flow Problems
Original language description
The paper overviews and compares some block preconditioners for the solution of saddle point systems, especially systems arising from the Brinkman model of porous media flow. The considered preconditioners involve different Schur complements as inverse free Schur complement in HSS (Hermitian - Skew Hermitian Splitting preconditioner), Schur complement to the velocity matrix and finally Schur complement to a regularization block in the augmented matrix preconditioner. The inverses appearing in most of the considered Schur complements are approximated by simple sparse approximation techniques as element-by-element and Frobenius norm minimization approaches. A special interest is devoted to problems involving various Darcy, Stokes and Brinkman flow regions, the efficiency of preconditioners in this case is demonstrated by some numerical experiments.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
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
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
High performance computing in science and engineering - HPCSE 2015
ISBN
978-3-319-40361-8
ISSN
0302-9743
e-ISSN
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Number of pages
17
Pages from-to
68-84
Publisher name
Springer
Place of publication
Švýcarsko
Event location
Soláň
Event date
May 25, 2015
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000386324600005