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Higher Order Finite Element Methods

Duczek, Sascha and Willberg, Christian and Gabbert, Ulrich (2017) Higher Order Finite Element Methods. In: Lamb-Wave Based Structural Health Monitoring in Polymer Composites Research Topics in Aerospace. Springer International Publishing. pp. 117-159. doi: 10.1007/978-3-319-49715-0. ISBN 978-3-319-49714-3. ISSN 2194-8240.

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Official URL: http://www.springer.com/de/book/9783319497143


The efficiency of numerical methods for wave propagation analysis is essential, as very fine spatial and temporal resolutions are required in order to properly describe all the phenomena of interest, such as scattering, reflection, mode conversion, and many more. These strict demands originate from the fact that high-frequency ultrasonic guided waves are investigated. In the current chapter, we focus on the finite element method (FEM) based on higher order basis functions and demonstrate its range of applicability. Thereby, we discuss the p-FEM, the spectral element method (SEM), and the isogeometric analysis (IGA). Additionally, convergence studies demonstrate the performance of the different higher order approaches with respect to wave propagation problems. The results illustrate that higher order methods are an effective numerical tool to decrease the numerical costs and to increase the accuracy. Furthermore, we can conclude that FE-based methods are principally able to tackle all wave propagation-related problems, but they are not necessarily the most efficient choice in all situations.

Item URL in elib:https://elib.dlr.de/109795/
Document Type:Contribution to a Collection
Title:Higher Order Finite Element Methods
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Duczek, SaschaOtto-von-Guericke-Universität MagdeburgUNSPECIFIED
Willberg, ChristianChristian.Willberg (at) dlr.dehttps://orcid.org/0000-0003-2433-9183
Gabbert, UlrichOtto-von-Guericke-Universität MagdeburgUNSPECIFIED
Date:28 September 2017
Journal or Publication Title:Lamb-Wave Based Structural Health Monitoring in Polymer Composites
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
DOI :10.1007/978-3-319-49715-0
Page Range:pp. 117-159
EditorsEmailEditor's ORCID iD
Lammering, RolfHelmut Schmidt UniversitätUNSPECIFIED
Sinapius, MichaelTechnische Universität BraunschweigUNSPECIFIED
Schuster, ThomasUniversität des SaarlandesUNSPECIFIED
Wierach, Peterpeter.wierach@dlr.deUNSPECIFIED
Publisher:Springer International Publishing
Series Name:Research Topics in Aerospace
Keywords:Lamb waves, SHM, FEM, Numerics
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation and Validation (old)
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Structural Mechanics
Deposited By: Willberg, Dr.-Ing. Christian
Deposited On:18 Sep 2017 09:33
Last Modified:18 Sep 2017 09:33

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