Email this article An Approach to Determining the Variation of a Functional with Singularities
- Authors: Albu A.F.1,2, Evtushenko Y.G.1,2, Zubov V.I.1,2
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 59, No 8 (2019)
- Pages: 1215-1232
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180726
- DOI: https://doi.org/10.1134/S0965542519080025
- ID: 180726
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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.
About the authors
A. F. Albu
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Email: zubov@ccas.ru
Russian Federation, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141701
Yu. G. Evtushenko
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Email: zubov@ccas.ru
Russian Federation, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141701
V. I. Zubov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: zubov@ccas.ru
Russian Federation, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141701
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