Complex wavenumber Fourier analysis of the B-spline based finite element method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F14%3A00424876" target="_blank" >RIV/61388998:_____/14:00424876 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.wavemoti.2013.09.003" target="_blank" >http://dx.doi.org/10.1016/j.wavemoti.2013.09.003</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.wavemoti.2013.09.003" target="_blank" >10.1016/j.wavemoti.2013.09.003</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Complex wavenumber Fourier analysis of the B-spline based finite element method

Popis výsledku v původním jazyce

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 po

Název v anglickém jazyce

Complex wavenumber Fourier analysis of the B-spline based finite element method

Popis výsledku anglicky

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 po

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JR - Ostatní strojírenství

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Wave Motion

ISSN

0165-2125

e-ISSN

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Svazek periodika

51

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

348-359

Kód UT WoS článku

000332054600012

EID výsledku v databázi Scopus

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