Počet záznamů: 1
Distribution of the Discretization and Algebraic Error in Numerical Solution of Partial Differential Equations
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SYSNO ASEP 0428023 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Distribution of the Discretization and Algebraic Error in Numerical Solution of Partial Differential Equations Tvůrce(i) Papež, Jan (UIVT-O) RID, SAI
Liesen, J. (DE)
Strakoš, Z. (CZ)Zdroj.dok. Linear Algebra and Its Applications. - : Elsevier - ISSN 0024-3795
Roč. 449, 15 May (2014), s. 89-114Poč.str. 26 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova numerical solution of partial differential equations ; finite element method ; adaptivity ; a posteriori error analysis ; discretization error ; algebraic error ; spatial distribution of the error Vědní obor RIV BA - Obecná matematika CEP IAA100300802 GA AV ČR - Akademie věd GA201/09/0917 GA ČR - Grantová agentura ČR Institucionální podpora UIVT-O - RVO:67985807 UT WOS 000336699600008 EID SCOPUS 84897676626 DOI 10.1016/j.laa.2014.02.009 Anotace In the adaptive numerical solution of partial differential equations, local mesh refinement is used together with a posteriori error analysis in order to equilibrate the discretization error distribution over the domain. Since the discretized algebraic problems are not solved exactly, a natural question is whether the spatial distribution of the algebraic error is analogous to the spatial distribution of the discretization error. The main goal of this paper is to illustrate using standard boundary value model problems that this may not hold. On the contrary, the algebraic error can have large local components which can significantly dominate the total error in some parts of the domain. The illustrated phenomenon is of general significance and it is not restricted to some particular problems or dimensions. To our knowledge, the discrepancy between the spatial distribution of the discretization and algebraic errors has not been studied in detail elsewhere. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2015
Počet záznamů: 1