On semi-implicit numerical method for surface diffusion equation for triangulated surfaces

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On semi-implicit numerical method for surface diffusion equation for triangulated surfaces. / Efremenko, Yu D.

в: Siberian Electronic Mathematical Reports, Том 18, № 2, 26, 2021, стр. 1367-1389.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{3c598fc7a3e44b7292425916f98e50f6,

title = "On semi-implicit numerical method for surface diffusion equation for triangulated surfaces",

abstract = "We propose a semi-implicit numerical approach to computation of solutions to the surface diffusion equation for triangulated surfaces.In addition, an algorithm of re-triangulation of surfaces was developedto handle singularities that appear during surface evolution. A numberof numerical solutions for different initial surfaces is presented",

keywords = "Semi-implicit numerical methods, Surface diffusion equation, Triangulated surface",

author = "Efremenko, {Yu D.}",

note = "Funding Information: Efremenko, Yu.D., On semi-implicit numerical method for surface diffusion equation for triangulated surfaces. The work is supported by Mathematical Center in Akademgorodok, the agreement with Ministry of Science and High Education of the Russian Federation number 075-15-2019-1675. {\textcopyright} 2021 Efremenko Yu.D. Received April, 24, 2021, published November, 24, 2021. Publisher Copyright: {\textcopyright} 2021 Efremenko Yu.D",

year = "2021",

doi = "10.33048/SEMI.2021.18.104",

language = "English",

volume = "18",

pages = "1367--1389",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

number = "2",

}

RIS

TY - JOUR

T1 - On semi-implicit numerical method for surface diffusion equation for triangulated surfaces

AU - Efremenko, Yu D.

N1 - Funding Information: Efremenko, Yu.D., On semi-implicit numerical method for surface diffusion equation for triangulated surfaces. The work is supported by Mathematical Center in Akademgorodok, the agreement with Ministry of Science and High Education of the Russian Federation number 075-15-2019-1675. © 2021 Efremenko Yu.D. Received April, 24, 2021, published November, 24, 2021. Publisher Copyright: © 2021 Efremenko Yu.D

PY - 2021

Y1 - 2021

N2 - We propose a semi-implicit numerical approach to computation of solutions to the surface diffusion equation for triangulated surfaces.In addition, an algorithm of re-triangulation of surfaces was developedto handle singularities that appear during surface evolution. A numberof numerical solutions for different initial surfaces is presented

AB - We propose a semi-implicit numerical approach to computation of solutions to the surface diffusion equation for triangulated surfaces.In addition, an algorithm of re-triangulation of surfaces was developedto handle singularities that appear during surface evolution. A numberof numerical solutions for different initial surfaces is presented

KW - Semi-implicit numerical methods

KW - Surface diffusion equation

KW - Triangulated surface

UR - http://www.scopus.com/inward/record.url?scp=85124160655&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=47669581

U2 - 10.33048/SEMI.2021.18.104

DO - 10.33048/SEMI.2021.18.104

M3 - Article

AN - SCOPUS:85124160655

VL - 18

SP - 1367

EP - 1389

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

M1 - 26

ER -

ID: 35464327