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Dispersion properties of finite element method: review
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SYSNO ASEP 0462260 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Dispersion properties of finite element method: review Author(s) Kolman, Radek (UT-L) RID
Okrouhlík, Miloslav (UT-L) RID
Plešek, Jiří (UT-L) RID, ORCID, SAI
Gabriel, Dušan (UT-L) RID, ORCIDNumber of authors 4 Source Title Engineering Mechanics 2016. - Prague : Institute of Thermomechanics CAS, v. v. i., 2016 / Zolotarev I. ; Radolf V. - ISSN 1805-8248 - ISBN 978-80-87012-59-8 Pages s. 301-304 Number of pages 4 s. Publication form Print - P Action Engeneering Mechanics /22./ Event date 09.05.2016-12.05.2016 VEvent location Svratka Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords finite element method ; dispersion properties ; wave speed ; explicit time integration Subject RIV BI - Acoustics R&D Projects GAP101/12/2315 GA ČR - Czech Science Foundation (CSF) TH01010772 GA TA ČR - Technology Agency of the Czech Republic (TA ČR) GA16-03823S GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 UT WOS 000379986700072 Annotation Review of the dispersion properties of plane square bilinear finite element used in plane elastic wave propagation problems is presented. It is assumed the grid (spatial) dispersion analysis and, further, the temporal-spatial dispersion analysis for explicit direct time integration based on the central difference method. In this contribution, the dispersion surfaces, polar diagrams and error dispersion graphs for bilinear finite element are depicted for different Courant numbers in explicit time integration. Finally, recommendation for setting the mesh size and the time step size for the explicit time integration of discretized equations of motion by the bilinear finite element method is provided. 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 2017
Number of the records: 1