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A weighted finite element mass redistribution method for dynamic contact problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00491866" target="_blank" >RIV/67985840:_____/19:00491866 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.cam.2018.06.030" target="_blank" >http://dx.doi.org/10.1016/j.cam.2018.06.030</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.cam.2018.06.030" target="_blank" >10.1016/j.cam.2018.06.030</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A weighted finite element mass redistribution method for dynamic contact problems

  • Original language description

    This paper deals with a one-dimensional wave equation being subjected to a unilateral boundary condition. An approximation of this problem combining the finite element and mass redistribution methods is proposed. The mass redistribution method is based on a redistribution of the body mass such that there is no inertia at the contact node and the mass of the contact node is redistributed on the other nodes. The convergence as well as an error estimate in time is proved. The analytical solution associated with a benchmark problem is introduced and it is compared to approximate solutions for different choices of mass redistribution. However some oscillations for the energy associated with approximate solutions obtained for the second order schemes can be observed after the impact. To overcome this difficulty, a new unconditionally stable and a very lightly dissipative scheme is proposed.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA15-12227S" target="_blank" >GA15-12227S: Analysis of mathematical models of multifunctional materials with hysteresis</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Computational and Applied Mathematics

  • ISSN

    0377-0427

  • e-ISSN

  • Volume of the periodical

    345

  • Issue of the periodical within the volume

    January

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    19

  • Pages from-to

    338-356

  • UT code for WoS article

    000447084300025

  • EID of the result in the Scopus database

    2-s2.0-85049775122