Original title: Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation
Authors: Kolman, Radek ; Plešek, Jiří ; Okrouhlík, Miloslav ; Gabriel, Dušan
Document type: Papers
Conference/Event: ENGINEERING MECHANICS 2010, Svratka (CZ), 2010-05-10 / 2010-05-13
Year: 2010
Language: eng
Abstract: 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.
Keywords: classical finite element; dispersion; wave propagation
Project no.: CEZ:AV0Z20760514 (CEP), GA101/09/1630 (CEP), GA101/07/1471 (CEP), GPP101/10/P376 (CEP)
Funding provider: GA ČR, GA ČR, GA ČR
Host item entry: Engineering Mechanics 2010, ISBN 978-80-87012-26-0

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0185609

Permalink: http://www.nusl.cz/ntk/nusl-42031


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Research > Institutes ASCR > Institute of Thermomechanics
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