Simulation of triple junction motion with arbitrary surface tensions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00448809" target="_blank" >RIV/67985840:_____/15:00448809 - 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

Simulation of triple junction motion with arbitrary surface tensions

Original language description

We simulate triple junction motion that is given by the gradient flow of surface energy with arbitrary surface tensions of the individual interfaces. The foundation of the method is the diffusion-based BMO algorithm in vectorvalued formulation. We modifythe original vector-valued BMO method so that it can accommodate motions for any triple of surface tensions leading to the possibility of a nonsymmetric junction. The main idea of the modification is to adjust both the reference vectors and the coefficients in the underlying diffusion system. Moreover, we improve the method by using vector-valued projection triangle and also address the volumepreserving problem. Analysis and numerical results of this generalized vector-valued BMO algorithm are presented.

Czech name

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Czech description

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Type

J_x - 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

Name of the periodical

IAENG International Journal of Applied Mathematics

ISSN

1992-9978

e-ISSN

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Volume of the periodical

45

Issue of the periodical within the volume

3

Country of publishing house

JP - JAPAN

Number of pages

10

Pages from-to

235-244

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-84938940171