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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 3, Pages 351–368
DOI: https://doi.org/10.31857/S0044466920030023 (Mi zvmmf11040) 		 
This article is cited in 4 scientific papers (total in 4 papers)

New technique for formulation of domain decomposition algorithms

V. I. Agoshkovab

a Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119333 Russia
b Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.31857/S0044466920030023
Abstract: A new technique is proposed for constructing domain decomposition algorithms based on optimal control theory, the theory of inverse and ill-posed problems, application of adjoint equations, and modern iterative processes. The technique applies to a broad class of problems in mathematical physics (including ones with nonsymmetric operators, convection-dominant operators, etc.).
Key words: domain decomposition algorithms, optimal control, inverse problems, adjoint equations.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00595
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00595.
Received: 05.08.2019
Revised: 23.10.2019
Accepted: 18.11.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 3, Pages 353–369
DOI: https://doi.org/10.1134/S0965542520030021
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. I. Agoshkov, “New technique for formulation of domain decomposition algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020), 351–368; Comput. Math. Math. Phys., 60:3 (2020), 353–369
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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