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Zh. Vychisl. Mat. Mat. Fiz., 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

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 initialЦboundary problems, iterative methods, splitting of boundary conditions, numerical implementations, spherical Couette flows.

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English version:
Computational Mathematics and Mathematical Physics, 2011, 51:1, 68–87

Bibliographic databases:

UDC: 519.634
Received: 20.08.2010

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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\paper On the development of iterative methods with boundary condition splitting for solving boundary and
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\vol 51
\issue 1
\pages 74--95
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\jour Comput. Math. Math. Phys.
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\pages 68--87
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    This publication is cited in the following articles:
    1. I. I. Golichev, T. R. Sharipov, N. I. Luchnikova, “Gradient methods for solving Stokes problem”, Ufa Math. J., 8:2 (2016), 22–38  mathnet  crossref  mathscinet  isi  elib
  • ∆урнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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