Multiphase volume-preserving interface motions via localized signed distance vector scheme

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00448803" target="_blank" >RIV/67985840:_____/15:00448803 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdss.2015.8.969" target="_blank" >http://dx.doi.org/10.3934/dcdss.2015.8.969</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2015.8.969" target="_blank" >10.3934/dcdss.2015.8.969</a>

Result language
angličtina
Original language name
Multiphase volume-preserving interface motions via localized signed distance vector scheme
Original language description
We develop a signed distance vector approach for approximating volume-preserving mean curvature motions of interfaces separating multiple phases -- a variant of the BMO (Bence-Merriman-Osher) thresholding dynamics. We adopt a variational method employingthe idea of a vector-type discrete Morse flow, which allows us to easily treat volume constraint via penalization without having to change the threshold value. Moreover, employing a vector-valued analogue of the signed distance function, the scheme is designed to allow subgrid accuracy on uniform grids without adaptive refinement; thereby, alleviating the well-known BMO time and grid restrictions. Finally, we present numerical tests and examples.
Czech name
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Czech description
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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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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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