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Equivalent operator preconditioning for elliptic problems
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SYSNO ASEP 0328616 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Equivalent operator preconditioning for elliptic problems Tvůrce(i) Axelsson, Owe (UGN-S) RID
Karátson, J. (HU)Celkový počet autorů 2 Zdroj.dok. Numerical Algorithms. - : Springer - ISSN 1017-1398
Roč. 50, č. 3 (2009), s. 297-380Poč.str. 84 s. Forma vydání www - www Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova Elliptic problem ; Conjugate gradient method ; preconditioning ; equivalent operators ; compact operators Vědní obor RIV BA - Obecná matematika CEZ AV0Z30860518 - UGN-S (2005-2011) UT WOS 000264495700005 DOI 10.1007/s11075-008-9233-4 Anotace The numerial solution of linear elliptic partial differential equations most often involves a finite element or finite difference discretization. To preserve sparsity, the arising system is normally solved using an iterative solution method, commonly a preconditioned conjugate gradient method.Preconditioning is a crucial part of such a solution process. In order to enable the solution of very large-scale systems, it is desirable that the total computational cost will be of optimal order, i.e. proportional to the degrees of freedom of the paaroximation used, which also induces mesh independent convergence of the iteration. This paper surveys the equivalent operator approach, which has proven to provide an efficient general framework to construct such preconditioners. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2010
Počet záznamů: 1