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
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.
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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Computational Mathematics and Mathematical Physics, 2011, 51:1, 68–87
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
\by B.~V.~Pal'tsev, M.~B.~Soloviev, I.~I.~Chechel'
\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
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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