A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00482324" target="_blank" >RIV/68145535:_____/17:00482324 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0377042716302631?via%3Dihub" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042716302631?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2016.05.029" target="_blank" >10.1016/j.cam.2016.05.029</a>
Alternative languages
Result language
angličtina
Original language name
A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control
Original language description
In this article we construct an efficient preconditioner for solving the algebraic systems arising from discretized optimal control problems with time-periodic Stokes equations, based on a preconditioning technique for stationary Stokes-constrained optimal control problems, considered in an earlier paper by the authors. A simplified analysis of the derivation of the preconditioner and its properties is presented. The preconditioner is fully parameter-independent and the condition number of the corresponding preconditioned matrix is bounded by 2. The so-constructed preconditioner is favourably compared with another robust preconditioner for the same problem.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
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
2017
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
310
Issue of the periodical within the volume
January 2017
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
14
Pages from-to
5-18
UT code for WoS article
000384780400002
EID of the result in the Scopus database
2-s2.0-84989818220