Title: Numerical simulation of wave propagation using spectral finite elements
Authors: Hennings, Bianca 
Lammering, Rolf  
Gabbert, Ulrich 
Language: en
Keywords: Universitätsbibliographie;Evaluation 2013
Subject (DDC): Ingenieurwissenschaften
Subject: Wave Propagation
Spectral Finite Element
Gauss–Lobatto–Legendre Quadrature
Issue Date: 2013
Other: Lammering, Rolf
Gabbert, Ulrich
Document Type: Article
Source: Enthalten in: Special Issue SHMStructural Health Monitoring / Lammering, Rolf. - Wien : Springer, 2013 In: CEAS Aeronautical Journal / Confederation of European Aerospace Societies. - Wien [u.a.] : Springer, 2011- ; ZDB-ID: 2610302-3 . - 2013, Seite 3-10
Journal / Series / Working Paper (HSU): CEAS Aeronautical Journal 
Volume: 4
Issue: 1
Page Start: 3
Page End: 10
Document Version: publishedVersion
© Deutsches Zentrum für Luft- und Raumfahrt e.V. 2013. For the analysis of wave propagation at high frequencies, the spectral finite element method is under investigation. In contrast to the conventional finite element method, high-order shape functions are used. They are composed of Lagrange polynomials with nodes at the Gauss–Lobatto–Legendre points. The Gauss–Lobatto– Legendre integration scheme is applied in order to obtain a diagonal mass matrix. The resulting system equations can be solved efficiently. In the numerical examples, spectral finite elements with shape functions of different order are applied to a plane strain problem. The numerical examples cover structures without and with stiffness discontinuities. It is shown that the results agree well with analytical and experimental solutions.
Organization Units (connected with the publication): Mechanik 
URL: https://api.elsevier.com/content/abstract/scopus_id/84921381577
ISSN: 18695582
DOI: 10.1007/s13272-012-0053-9
Rights: 4.0 deutsch
Appears in Collections:2013

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