Dispersion properties of finite element method: review

0462260 - ÚT 2017 RIV CZ eng C - Conference Paper (international conference)
Kolman, Radek - Okrouhlík, Miloslav - Plešek, Jiří - Gabriel, Dušan
Dispersion properties of finite element method: review.
Engineering Mechanics 2016. Prague: Institute of Thermomechanics CAS, v. v. i., 2016 - (Zolotarev, I.; Radolf, V.), s. 301-304. ISBN 978-80-87012-59-8. ISSN 1805-8248.
[Engeneering Mechanics /22./. Svratka (CZ), 09.05.2016-12.05.2016]
R&D Projects: GA ČR(CZ) GAP101/12/2315; GA TA ČR(CZ) TH01010772; GA ČR(CZ) GA16-03823S
Institutional support: RVO:61388998
Keywords : finite element method * dispersion properties * wave speed * explicit time integration
Subject RIV: BI - Acoustics

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.
Permanent Link: http://hdl.handle.net/11104/0261739