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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 4, Pages 578–589
DOI: https://doi.org/10.31857/S0044466920040201 (Mi zvmmf11057) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Numerical method of quasi-isometric parametrization for two-dimensional curvilinear domains

S. K. Godunova, V. T. Zhukovb, O. B. Feodoritovab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
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DOI: https://doi.org/10.31857/S0044466920040201
Abstract: A method for constructing a quasi-isometric parametrization of a plane curvilinear quadrilateral is described. The parametrization is defined using a generalized Dirichlet variational functional. Based on its minimization, an algorithm for generating grids that implement a quasi-isometric parametrization of quadrilaterals with curved, but sufficiently smooth boundaries is developed. Primary attention is given to the numerical features of the proposed approach.
Key words: quasi-isometric mapping, minimization of variational functional, regular grids.
Received: 12.10.2019
Revised: 12.10.2019
Accepted: 16.12.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 4, Pages 568–579
DOI: https://doi.org/10.1134/S096554252004020X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: S. K. Godunov, V. T. Zhukov, O. B. Feodoritova, “Numerical method of quasi-isometric parametrization for two-dimensional curvilinear domains”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 578–589; Comput. Math. Math. Phys., 60:4 (2020), 568–579
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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