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Complex wavenumber Fourier analysis of the B-spline based finite element method
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SYSNO ASEP 0424876 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Complex wavenumber Fourier analysis of the B-spline based finite element method Tvůrce(i) Kolman, Radek (UT-L) RID
Plešek, Jiří (UT-L) RID, ORCID, SAI
Okrouhlík, Miloslav (UT-L) RIDZdroj.dok. Wave Motion. - : Elsevier - ISSN 0165-2125
Roč. 51, č. 2 (2014), s. 348-359Poč.str. 12 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova elastic wave propagation ; dispersion errors ; B-spline ; finite element method ; isogeometric analysis Vědní obor RIV JR - Ostatní strojírenství CEP GAP101/11/0288 GA ČR - Grantová agentura ČR GAP101/12/2315 GA ČR - Grantová agentura ČR GPP101/10/P376 GA ČR - Grantová agentura ČR GA101/09/1630 GA ČR - Grantová agentura ČR Institucionální podpora UT-L - RVO:61388998 UT WOS 000332054600012 EID SCOPUS 84895065918 DOI 10.1016/j.wavemoti.2013.09.003 Anotace We present the results of one-dimensional complex wavenumber Fourier analysis of the B-spline variant of Finite Element Method (FEM). Generally, numerical results of elastic wave propagation in solids obtained by FEM are polluted by dispersion and attenuation. It was shown for the higher-order B-spline based FEM, that the optical modes did not occur in the case of infinite domains, unlike the higher-order Lagrangian and Hermitian finite elements, and also the dispersion errors are smaller. The paper’s main focus is on the wave propagation through B-spline multi-patch/segment discretization with the C0C0 connection of B-spline segments and, chiefly, to the determining of dispersion and attenuation dependences. The numerical approach employed leads to substantial minimization of dispersion errors. Furthermore, the errors decrease in line with the increasing order of the B-spline elements/segments, with the local refinement, and also by the particular choice of the positions of control points through the optimizing procedure. Pracoviště Ústav termomechaniky Kontakt Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Rok sběru 2015
Počet záznamů: 1