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Temporal-spatial dispersion analysis of finite element method in implicit time integration

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F19%3A00512115" target="_blank" >RIV/61388998:_____/19:00512115 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Temporal-spatial dispersion analysis of finite element method in implicit time integration

  • Original language description

    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 consistentnmass 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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20302 - Applied mechanics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Engineering mechanics 2019. Book of full texts

  • ISBN

    978-80-87012-71-0

  • ISSN

    1805-8248

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    215-218

  • Publisher name

    Institute of Thermomechanics of the Czech Academy of Sciences

  • Place of publication

    Prague

  • Event location

    Svratka

  • Event date

    May 13, 2019

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article