Original title: Temporal-spatial dispersion analysis of finite element method in implicit time integration
Authors: Kruisová, Alena ; Kolman, Radek ; Mračko, Michal ; Okrouhlík, Miloslav
Document type: Papers
Conference/Event: International Conference Engineering Mechanics 2019 /25./, Svratka (CZ), 20190513
Year: 2019
Language: eng
Abstract: The temporal-spatial dispersion analysis for the linear finite element method with implicit time integration is presented. The Newmark method with β = 1/2 and γ = 1/4 is used as well as the consistent\nmass matrix. The temporal-spatial dispersion relationships are derived in the closed form and analyzed due to errors in numerical wave speed of propagation of harmonic wave. Based on this temporal-spatial dispersion analysis, a suitable mesh size and time step size for allowed errors in phase speed are mentioned as well as we present the polar dispersion graphs.
Keywords: dispersion errors; finite element method; Newmark method; time integration; wave propagation
Project no.: GA17-22615S (CEP), EF15_003/0000493
Funding provider: GA ČR, GA MŠk
Host item entry: Engineering mechanics 2019. Book of full texts, ISBN 978-80-87012-71-0, ISSN 1805-8248

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0302601

Permalink: http://www.nusl.cz/ntk/nusl-407997


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