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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 7, Pages 1192–1207 (Mi zvmmf279)  
This article is cited in 6 scientific papers (total in 6 papers)

Numerical solution of the nonstationary Stokes system by methods of adjoint-equation theory and optimal control theory

V. I. Agoshkov, E. Botvinovsky

Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
Full-text PDF (1834 kB) Citations (6)
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Abstract: Methods in optimal control and the adjoint-equation theory are applied to the design of iterative algorithms for the numerical solution of the nonstationary Stokes system perturbed by a skew-symmetric operator. A general scheme is presented for constructing algorithms of this kind as applied to a broad class of problems. The scheme is applied to the nonstationary Stokes equations, and the convergence rate of the corresponding iterative algorithm is examined. Some numerical results are given.
Key words: nonstationary Stokes equations, optimal control, adjoint equations, iterative method.
Received: 14.04.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 7, Pages 1142–1157
DOI: https://doi.org/10.1134/S096554250707007X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. I. Agoshkov, E. Botvinovsky, “Numerical solution of the nonstationary Stokes system by methods of adjoint-equation theory and optimal control theory”, Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007), 1192–1207; Comput. Math. Math. Phys., 47:7 (2007), 1142–1157
Citation in format AMSBIB
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\jour Comput. Math. Math. Phys.
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    • This publication is cited in the following 6 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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