Počet záznamů: 1
Nodal O(h4)-superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations
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SYSNO ASEP 0338973 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Nodal O(h4)-superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations Tvůrce(i) Hannukainen, A. (FI)
Korotov, S. (FI)
Křížek, Michal (MU-W) RID, SAI, ORCIDZdroj.dok. Journal of Computational Mathematics - ISSN 0254-9409
Roč. 28, č. 1 (2010), s. 1-10Poč.str. 10 s. Jazyk dok. eng - angličtina Země vyd. CN - Čína Klíč. slova higher order error estimates ; tetrahedral and prismatic elements ; superconvergence ; averaging operators Vědní obor RIV BA - Obecná matematika CEP IAA100190803 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000274262000001 EID SCOPUS 77649318469 DOI 10.4208/jcm.2009.09-m1004 Anotace We construct and analyse a nodal O(h4)-superconvergent FE scheme for approximating the Poisson equation with homogeneous boundary conditions in three-dimensional domains by means of piecewise trilinear functions. The scheme is based on averaging the equations that arise from FE approximations on uniform cubic, tetrahedral, and prismatic partitions. This approach presents a three-dimensional generalization of a two-dimensional averaging of linear and bilinear elements which also exhibits nodal O(h4)-superconvergence (ultraconvergence). The obtained superconvergence result is illustrated by two numerical examples. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2010
Počet záznamů: 1