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Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity. / Klyachin, Vladimir V.; Kuzmin, Vladislav V.; Khizhnyakova, Ekaterina V.

In: Bulletin of Irkutsk State University, Series Mathematics, Vol. 45, 2023, p. 54-72.

Research output: Contribution to journal › Article › peer-review

Harvard

Klyachin, VV, Kuzmin, VV & Khizhnyakova, EV 2023, 'Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity', Bulletin of Irkutsk State University, Series Mathematics, vol. 45, pp. 54-72. https://doi.org/10.26516/1997-7670.2023.45.54

APA

Klyachin, V. V., Kuzmin, V. V., & Khizhnyakova, E. V. (2023). Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity. Bulletin of Irkutsk State University, Series Mathematics, 45, 54-72. https://doi.org/10.26516/1997-7670.2023.45.54

Vancouver

Klyachin VV, Kuzmin VV, Khizhnyakova EV. Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity. Bulletin of Irkutsk State University, Series Mathematics. 2023;45:54-72. doi: 10.26516/1997-7670.2023.45.54

Author

Klyachin, Vladimir V. ; Kuzmin, Vladislav V. ; Khizhnyakova, Ekaterina V. / Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity. In: Bulletin of Irkutsk State University, Series Mathematics. 2023 ; Vol. 45. pp. 54-72.

BibTeX

@article{589aa425ab1e4088a0b5a95d18ff5876,
title = "Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity",
abstract = "A variational problem for the minimum of the stored energy functional is considered in the framework of the nonlinear theory of elasticity, taking into account admissible deformations. An algorithm for solving this problem is proposed, based on the use of a polygonal partition of the computational domain by the Delaunay triangulation method. Conditions for the convergence of the method to a local minimum in the class of piecewise affine mappings are found.",
author = "Klyachin, {Vladimir V.} and Kuzmin, {Vladislav V.} and Khizhnyakova, {Ekaterina V.}",
note = "Публикация для корректировки.",
year = "2023",
doi = "10.26516/1997-7670.2023.45.54",
language = "English",
volume = "45",
pages = "54--72",
journal = "Bulletin of Irkutsk State University, Series Mathematics",
issn = "1997-7670",
publisher = "Irkutsk State University",

}

RIS

TY - JOUR

T1 - Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity

AU - Klyachin, Vladimir V.

AU - Kuzmin, Vladislav V.

AU - Khizhnyakova, Ekaterina V.

N1 - Публикация для корректировки.

PY - 2023

Y1 - 2023

N2 - A variational problem for the minimum of the stored energy functional is considered in the framework of the nonlinear theory of elasticity, taking into account admissible deformations. An algorithm for solving this problem is proposed, based on the use of a polygonal partition of the computational domain by the Delaunay triangulation method. Conditions for the convergence of the method to a local minimum in the class of piecewise affine mappings are found.

AB - A variational problem for the minimum of the stored energy functional is considered in the framework of the nonlinear theory of elasticity, taking into account admissible deformations. An algorithm for solving this problem is proposed, based on the use of a polygonal partition of the computational domain by the Delaunay triangulation method. Conditions for the convergence of the method to a local minimum in the class of piecewise affine mappings are found.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85174976044&origin=inward&txGid=2358adf0b1a79beeee3fbfdf02cce913

UR - https://www.elibrary.ru/item.asp?id=54482995

UR - https://www.mendeley.com/catalogue/f8956a80-f5fd-3502-871a-0c96665b5312/

U2 - 10.26516/1997-7670.2023.45.54

DO - 10.26516/1997-7670.2023.45.54

M3 - Article

VL - 45

SP - 54

EP - 72

JO - Bulletin of Irkutsk State University, Series Mathematics

JF - Bulletin of Irkutsk State University, Series Mathematics

SN - 1997-7670

ER -

ID: 59187213