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

0343033 - ÚT 2011 RIV CZ eng C - Conference Paper (international conference)
Kolman, Radek - Plešek, Jiří - Okrouhlík, Miloslav - Gabriel, Dušan
Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation.
Engineering Mechanics 2010. Prague: Institute of Thermomechanics AS CR, v. v. i., 2010 - (Zolotarev, I.), s. 72-87. ISBN 978-80-87012-26-0.
[ENGINEERING MECHANICS 2010. Svratka (CZ), 10.05.2010-13.05.2010]
R&D Projects: GA ČR(CZ) GA101/09/1630; GA ČR(CZ) GA101/07/1471; GA ČR GPP101/10/P376
Institutional research plan: CEZ:AV0Z20760514
Keywords : dispersion * wave propagation * classical finite element
Subject RIV: BI - Acoustics

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.
Permanent Link: http://hdl.handle.net/11104/0185609