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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 8, Pages 1277–1295
DOI: https://doi.org/10.1134/S0044466919080027 (Mi zvmmf10931) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An approach to determining the variation of a functional with singularities

A. F. Albuab, Yu. G. Evtushenkoab, V. I. Zubovab

a Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control," Russian Academy of Sciences, Moscow, 119333 Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, 141701 Russia
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DOI: https://doi.org/10.1134/S0044466919080027
Abstract: A new method is proposed for computing the first variation of a functional in the case when the considered domain or its boundary contains singular points. In contrast to earlier proposed techniques, this method is simpler and applies to a larger class of equations governing optimization processes and to more general singularities occurring in the domain or on its boundary.
Key words: variational problem, first variation of a functional, gradient, adjoint equations, singular points.
Funding agency Grant number
Russian Foundation for Basic Research 17-07-00493_a
This work was supported in part by the Russian Foundation for Basic Research, project no. 17-07-00493a.
Received: 28.03.2019
Revised: 29.03.2019
Accepted: 10.04.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 8, Pages 1215–1232
DOI: https://doi.org/10.1134/S0965542519080025
Bibliographic databases:
Document Type: Article
UDC: 533.19.626
Language: Russian
Citation: A. F. Albu, Yu. G. Evtushenko, V. I. Zubov, “An approach to determining the variation of a functional with singularities”, Zh. Vychisl. Mat. Mat. Fiz., 59:8 (2019), 1277–1295; Comput. Math. Math. Phys., 59:8 (2019), 1215–1232
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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