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

The result's identifiers

  • 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>

Alternative languages

  • 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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Discrete and Continuous Dynamical systems - Series S

  • ISSN

    1937-1632

  • e-ISSN

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

    969-988

  • UT code for WoS article

    000357886400013

  • EID of the result in the Scopus database

    2-s2.0-84936754128