A Continuation Problem for Computing Solutions of Discretised Evolution Problems with Application to Plane Quasi-Static Contact Problems with Friction
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33149937" target="_blank" >RIV/61989592:15310/14:33149937 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cma.2014.07.011" target="_blank" >http://dx.doi.org/10.1016/j.cma.2014.07.011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cma.2014.07.011" target="_blank" >10.1016/j.cma.2014.07.011</a>
Alternative languages
Result language
angličtina
Original language name
A Continuation Problem for Computing Solutions of Discretised Evolution Problems with Application to Plane Quasi-Static Contact Problems with Friction
Original language description
A continuation problem for finding successive solutions of discretised abstract first-order evolution problems is proposed and a general piecewise $C^{1}$ continuation problem is studied. A condition ensuring local existence and uniqueness of its solution curves is given. An analogy of the first-order system of smooth problems is derived and results of existence and uniqueness of its solutions are stated. Possibility of continuation of a solution curve along directions solving the first-order system isdiscussed. A technique for numerical continuation of the solution curves is developed. Furthermore, an application of the abstract continuation problem is presented for plane quasi-static contact problems with friction. Various formulations of the first-order system are derived for this case so that the analysis from the abstract frame can be developed and supplemented. Finally, the proposed numerical continuation is tested.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.30.0041" target="_blank" >EE2.3.30.0041: POST-UP II.</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computer Methods in Applied Mechanics and Engineering
ISSN
0045-7825
e-ISSN
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Volume of the periodical
280
Issue of the periodical within the volume
1. 10. 2014
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
41
Pages from-to
"222?262"
UT code for WoS article
000342862500010
EID of the result in the Scopus database
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