Proceedings Vol. 16 (2010)
ENGINEERING MECHANICS 2010
May 10 – 13, 2010, Svratka, Czech Republic
Copyright © 2010 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 65 - +16p., full text
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. In seismology the spectral ﬁnite elements appeared recently. Spectral ﬁnite elements are of h-type ﬁnite elements, 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. The Legendre higher order spectral elements are popular due to their small dispersion and anisotropy errors. In this paper, the classical and Legendre and Chebyshev spectral ﬁnite elements are tested in one-dimensional wave propagation in an elastic bar.
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