Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F10%3A00343033" target="_blank" >RIV/61388998:_____/10:00343033 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation
Original language description
The spatial discretization of continuum by finite element method introduces the dispersion error to numerical solutions of stress wave propagation. For higher order finite elements there are the optical modes in the spectrum resulting in spurious oscillations of stress and velocity distributions near the sharp wavefront. Spectral finite elements are of h-type finite element, where nodes have special positions along the elements corresponding to the numerical quadrature schemes, but the displacements along element are approximated by Lagrangian interpolation polynomials. In this paper, the classical and Legendre and Chebyshev spectral finite elements are tested in the one-dimensional wave propagation in an elastic bar.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BI - Acoustics and oscillation
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Engineering Mechanics 2010
ISBN
978-80-87012-26-0
ISSN
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e-ISSN
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Number of pages
16
Pages from-to
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Publisher name
Institute of Thermomechanics AS CR, v. v. i.
Place of publication
Prague
Event location
Svratka
Event date
May 10, 2010
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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