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

SYSNO ASEP	0343033
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Analysis of classical and spectral finite element spatial discretization in one-dimensional elastic wave propagation
Author(s)	Kolman, Radek (UT-L)_RID Plešek, Jiří (UT-L)_{RID, ORCID, SAI} Okrouhlík, Miloslav (UT-L)_RID Gabriel, Dušan (UT-L)_{RID, ORCID}
Source Title	Engineering Mechanics 2010, Book of extended abstracts. - Prague : Institute of Thermomechanics AS CR, v. v. i., 2010 / Zolotarev I. - ISBN 978-80-87012-26-0
Pages	s. 72-87
Number of pages	16 s.
Publication form	CD ROM - CD ROM
Action	ENGINEERING MECHANICS 2010
Event date	10.05.2010-13.05.2010
VEvent location	Svratka
Country	CZ - Czech Republic
Event type	EUR
Language	eng - English
Country	CZ - Czech Republic
Keywords	dispersion ; wave propagation ; classical finite element
Subject RIV	BI - Acoustics
R&D Projects	GA101/09/1630 GA ČR - Czech Science Foundation (CSF)
	GA101/07/1471 GA ČR - Czech Science Foundation (CSF)
	GPP101/10/P376 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z20760514 - UT-L (2005-2011)
Annotation	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.
Workplace	Institute of Thermomechanics
Contact	Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823
Year of Publishing	2011

Number of the records: 1