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A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control
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SYSNO ASEP 0482324 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control Author(s) Axelsson, Owe (UGN-S) RID
Farouq, S. (SE)
Neytcheva, M. (SE)Number of authors 3 Source Title Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427
Roč. 310, January 2017 (2017), s. 5-18Number of pages 14 s. Publication form Online - E Language eng - English Country NL - Netherlands Keywords optimal control ; time-harmonic Stokes problem ; preconditioning Subject RIV BA - General Mathematics OECD category Applied 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 000384780400002 EID SCOPUS 84989818220 DOI 10.1016/j.cam.2016.05.029 Annotation 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. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2018 Electronic address http://www.sciencedirect.com/science/article/pii/S0377042716302631?via%3Dihub
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