Temporal-spatial dispersion errors in fem modelling of wave propagation and implicit time integration

0497965 - ÚT 2019 RIV CZ eng A - Abstrakt
Kruisová, Alena - Kolman, Radek - Plešek, Jiří
Temporal-spatial dispersion errors in fem modelling of wave propagation and implicit time integration.
Advanced Modelling of Wave Propagation in Solids. Praha: Institute of Thermomechanics, Czech Academy of Sciences, 2018 - (Kolman, R.; Berezovski, A.; Kruisová, A.). s. 77-78. ISBN 978-80-87012-67-3.
[International Conference on Advanced Modelling of Wave Propagation in Solids /2./. 17.09.2018-21.09.2018, Praha]
Grant CEP: GA ČR(CZ) GA17-22615S; GA MŠMT(CZ) EF15_003/0000493
Institucionální podpora: RVO:61388998
Klíčová slova: dispersion errors * finite element method * implicit time integration
Obor OECD: Applied mechanics
http://wavemodelling2018.it.cas.cz

During the finite element modeling of wave propagation in solids, both the spatial and temporal discretization lead to dispersion errors. These
errors introduce the dependency of the phase velocity of propagated wave on its frequency. For the implicite time integration scheme, particularly
the Newmark method, an optimal time step size is derived.
Trvalý link: http://hdl.handle.net/11104/0291169