A variational method for multiphase volume-preserving interface motions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00422759" target="_blank" >RIV/67985840:_____/14:00422759 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cam.2013.08.027" target="_blank" >http://dx.doi.org/10.1016/j.cam.2013.08.027</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2013.08.027" target="_blank" >10.1016/j.cam.2013.08.027</a>

Result language
angličtina
Original language name
A variational method for multiphase volume-preserving interface motions
Original language description
We develop a numerical method for realizing mean curvature motion of interfaces separating multiple phases, whose volumes are preserved throughout time. The foundation of the method is a thresholding algorithm of the Bence?Merriman?Osher type. The original algorithm is reformulated in a vector setting, which allows for a natural inclusion of constraints, even in the multiphase case. Moreover, a new method for overcoming the inaccuracy of thresholding methods on non-adaptive grids is designed, since thisinaccuracy becomes especially prominent in volume-preserving motions. Formal analysis of the method and numerical tests are presented.
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
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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