Algorithm for Topological Changes of Parametrically Described Curves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F09%3A00155724" target="_blank" >RIV/68407700:21340/09:00155724 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Algorithm for Topological Changes of Parametrically Described Curves
Original language description
This contribution presents an algorithm for topological changes of curves solved by a parametric method. The algorithm improves standard parametric method and allows merging and splitting closed and open curves. { The algorithm is mainly designed to allow for topological changes which may occur during dislocation dynamics.} We consider a family of closed or open smooth curves $ Gamma(t) : S rightarrow mathbb{R} ^2 $, $ t geqq 0 $. The curves are driven by the normal velocity $v$ which is the function of curvature $kappa$ and the position vector $x in Gamma (t)$. In this case the equation is defined as: $v = -kappa + F$. The motion law is treated using direct approach solved by backward Euler semi-implicit scheme. Numerical stability is improvedby tangential redistribution of curve points which allows long time computations and better accuracy.
Czech name
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Czech description
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Project
<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Algoritmy 2009 Proceedings of Contributed Papers and Posters
ISBN
978-80-227-3032-7
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
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Publisher name
Slovak University of Technology, Faculty of Civil Engineering
Place of publication
Bratislava
Event location
Podbanske
Event date
Mar 15, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000267157200018

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