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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 1, Pages 74–95 (Mi zvmmf8047)  
This article is cited in 1 scientific paper (total in 1 paper)

On the development of iterative methods with boundary condition splitting for solving boundary and initial-boundary value problems for the linearized and nonlinear Navier–Stokes equations

B. V. Pal'tsev, M. B. Soloviev, I. I. Chechel'

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
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Abstract: An overview is presented of considerable advances made in a direction initiated by A. A. Dorodnicyn in the mid-1960s, which was found fruitful in the development of fundamentally new efficient methods for fluid dynamics problems. Most of the results described were obtained by the authors.
Key words: incompressible fluid, Navier–Stokes equations, Stokes and Stokes-type systems, Dirichlet boundary and initial–boundary problems, iterative methods, splitting of boundary conditions, numerical implementations, spherical Couette flows.
Received: 20.08.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 1, Pages 68–87
DOI: https://doi.org/10.1134/S096554251101012X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: B. V. Pal'tsev, M. B. Soloviev, I. I. Chechel', “On the development of iterative methods with boundary condition splitting for solving boundary and initial-boundary value problems for the linearized and nonlinear Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 74–95; Comput. Math. Math. Phys., 51:1 (2011), 68–87
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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