Počet záznamů: 1
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems
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SYSNO ASEP 0482333 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems Tvůrce(i) Axelsson, Owe (UGN-S) RID
Farouq, S. (SE)
Neytcheva, M. (SE)Celkový počet autorů 3 Zdroj.dok. Numerical Algorithms. - : Springer - ISSN 1017-1398
Roč. 74, č. 1 (2017), s. 19-37Poč.str. 19 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova PDE-constrained optimization problems ; finite elements ; iterative solution methods ; preconditioning Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Institucionální podpora UGN-S - RVO:68145535 UT WOS 000391392300002 EID SCOPUS 84965082158 DOI 10.1007/s11075-016-0136-5 Anotace The governing dynamics of fluid flow is stated as a system of partial differential equations referred to as the Navier-Stokes system. In industrial and scientific applications, fluid flow control becomes an optimization problem where the governing partial differential equations of the fluid flow are stated as constraints. When discretized, the optimal control of the Navier-Stokes equations leads to large sparse saddle point systems in two levels. In this paper, we consider distributed optimal control for the Stokes system and test the particular case when the arising linear system can be compressed after eliminating the control function. In that case, a system arises in a form which enables the application of an efficient block matrix preconditioner that previously has been applied to solve complex-valued systems in real arithmetic. Under certain conditions, the condition number of the so preconditioned matrix is bounded by 2. The numerical and computational efficiency of the method in terms of number of iterations and execution time is favorably compared with other published methods. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2018 Elektronická adresa https://link.springer.com/article/10.1007%2Fs11075-016-0136-5
Počet záznamů: 1