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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JR - Other machinery industry

OECD FORD branch

—

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

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

Name of the periodical

Wave Motion

ISSN

0165-2125

e-ISSN

—

Volume of the periodical

51

Issue of the periodical within the volume

2

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

12

Pages from-to

348-359

UT code for WoS article

000332054600012

EID of the result in the Scopus database

—