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Dispersion properties of finite element method: review

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F16%3A00462260" target="_blank" >RIV/61388998:_____/16:00462260 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Dispersion properties of finite element method: review

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BI - Acoustics and oscillation

  • OECD FORD branch

Result continuities

  • Project

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

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • 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 2016

  • ISBN

    978-80-87012-59-8

  • ISSN

    1805-8248

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    301-304

  • Publisher name

    Institute of Thermomechanics CAS, v. v. i.

  • Place of publication

    Prague

  • Event location

    Svratka

  • Event date

    May 9, 2016

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

    000379986700072