An Approach to Determining the Variation of a Functional with Singularities
- Autores: Albu A.F.1,2, Evtushenko Y.G.1,2, Zubov V.I.1,2
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Afiliações:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- Edição: Volume 59, Nº 8 (2019)
- Páginas: 1215-1232
- Seção: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180726
- DOI: https://doi.org/10.1134/S0965542519080025
- ID: 180726
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Resumo
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.
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Sobre autores
A. 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
Rússia, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141701
Yu. 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
Rússia, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141701
V. Zubov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Autor responsável pela correspondência
Email: zubov@ccas.ru
Rússia, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141701
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