Počet záznamů: 1
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems - Poisson and convection-diffusion control
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SYSNO ASEP 0468119 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 - Poisson and convection-diffusion control 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. 73, č. 3 (2016), s. 631-633Poč.str. 33 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova PDE-constrained optimization problems ; finite elements ; iterative solution methods Vědní obor RIV BA - Obecná matematika CEP ED1.1.00/02.0070 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UGN-S - RVO:68145535 UT WOS 000387113700003 EID SCOPUS 84959098100 DOI 10.1007/s11075-016-0111-1 Anotace Saddle point matrices of a special structure arise in optimal control problems. In this paper we consider distributed optimal control for various types of scalar stationary partial differential equations and compare the efficiency of several numerical solution methods. We 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 application of an efficient block matrix preconditioner that previously has been applied to solve complex-valued systems in real arithmetic. Under certain assumptions 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 elapsed time is favourably compared with other published methods. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2017 Elektronická adresa http://link.springer.com/article/10.1007%2Fs11075-016-0111-1
Počet záznamů: 1