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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
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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