A Continuation Problem for Computing Solutions of Discretised Evolution Problems with Application to Plane Quasi-Static Contact Problems with Friction
Identifikátory výsledku
Kód výsledku v 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>
Výsledek na webu
<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>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
A Continuation Problem for Computing Solutions of Discretised Evolution Problems with Application to Plane Quasi-Static Contact Problems with Friction
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
A Continuation Problem for Computing Solutions of Discretised Evolution Problems with Application to Plane Quasi-Static Contact Problems with Friction
Popis výsledku anglicky
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.
Klasifikace
Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Návaznosti výsledku
Projekt
<a href="/cs/project/EE2.3.30.0041" target="_blank" >EE2.3.30.0041: Podpora vytváření excelentních výzkumných týmů a intersektorální mobility na Univerzitě Palackého v Olomouci II.</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2014
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Computer Methods in Applied Mechanics and Engineering
ISSN
0045-7825
e-ISSN
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Svazek periodika
280
Číslo periodika v rámci svazku
1. 10. 2014
Stát vydavatele periodika
NL - Nizozemsko
Počet stran výsledku
41
Strana od-do
"222?262"
Kód UT WoS článku
000342862500010
EID výsledku v databázi Scopus
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