Numerical Solution of Constrained Curvature Flow for Closed Planar Curves
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00305028" target="_blank" >RIV/68407700:21340/16:00305028 - isvavai.cz</a>
Result on the web
<a href="http://www.springer.com/gp/book/9783319399270?wt_mc=Internal.Event.1.SEM.ChapterAuthorCongrat" target="_blank" >http://www.springer.com/gp/book/9783319399270?wt_mc=Internal.Event.1.SEM.ChapterAuthorCongrat</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-39929-4" target="_blank" >10.1007/978-3-319-39929-4</a>
Alternative languages
Result language
angličtina
Original language name
Numerical Solution of Constrained Curvature Flow for Closed Planar Curves
Original language description
This paper presents results of computational studies of the evolution law for the constrained mean curvature flow. The considered motion law originates in the theory of phase transitions in crystalline materials. It describes the evolution of closed embedded curves with constant enclosed area. In the paper, the motion law is treated by the parametric method, which leads into the system of degenerate parabolic equations for the parametric description of the curve. This system is numerically solved by means of the flowing finite volume method enhanced by tangential redistribution. Qualitative and quantitative results of computational studies are presented.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GB14-36566G" target="_blank" >GB14-36566G: Multidisciplinary research centre for advanced materials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Numerical Mathematics and Advanced Applications ENUMATH 2015
ISBN
978-3-319-39927-0
ISSN
1439-7358
e-ISSN
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Number of pages
8
Pages from-to
539-546
Publisher name
Springer
Place of publication
Basel
Event location
Ankara
Event date
Sep 14, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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