About: Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. 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. (en)
Title	Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation (en)
skos:prefLabel	Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation (en)
skos:notation	RIV/61388998:_____/10:00343033!RIV11-GA0-61388998
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA101/07/1471), P(GA101/09/1630), P(GPP101/10/P376), Z(AV0Z20760514)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Okrouhlík, Miloslav Gabriel, Dušan Kolman, Radek Plešek, Jiří
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav termomechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	246360
http://linked.open...ai/riv/idVysledku	RIV/61388998:_____/10:00343033
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	dispersion; wave propagation; classical finite element (en)
http://linked.open.../riv/klicoveSlovo	dispersion wave propagation classical finite element
http://linked.open...ontrolniKodProRIV	[217B130F5622]
http://linked.open...v/mistoKonaniAkce	Svratka
http://linked.open...i/riv/mistoVydani	Prague
http://linked.open...i/riv/nazevZdroje	Engineering Mechanics 2010
http://linked.open...in/vavai/riv/obor	BI
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Finite element modelling of linear, non-linear and multiscale effects in wave propagation in solids and heterogeneous media Numerical solution to steady-state and transient wave dispersion in mechanical systems on different scales Study of dispersion properties of finite element method in elastic wave propagation problems
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Kolman, Radek Plešek, Jiří Gabriel, Dušan Okrouhlík, Miloslav
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2010-05-10 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Complex dynamical systems in thermodynamics, fluid and solid mechanics
number of pages	16 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Ústav termomechaniky AV ČR
https://schema.org/isbn	978-80-87012-26-0
is http://linked.open...avai/riv/vysledek of	Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation

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