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 Zh. Vychisl. Mat. Mat. Fiz., 2000, Volume 40, Number 12, Pages 1823–1837 (Mi zvmmf1407)

Exact estimates of the convergence rate of iterative methods with splitting of the boundary conditions for the Stokes-type system in a layer with a periodicity condition

B. V. Pal'tsev, I. I. Chechel'

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

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English version:
Computational Mathematics and Mathematical Physics, 2000, 40:12, 1751–1764

Bibliographic databases:
UDC: 519.6:531.32
MSC: Primary 76M10; Secondary 76D07, 65N12

Citation: B. V. Pal'tsev, I. I. Chechel', “Exact estimates of the convergence rate of iterative methods with splitting of the boundary conditions for the Stokes-type system in a layer with a periodicity condition”, Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000), 1823–1837; Comput. Math. Math. Phys., 40:12 (2000), 1751–1764

Citation in format AMSBIB
\Bibitem{PalChe00} \by B.~V.~Pal'tsev, I.~I.~Chechel' \paper Exact estimates of the convergence rate of iterative methods with splitting of the boundary conditions for the Stokes-type system in a layer with a periodicity condition \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2000 \vol 40 \issue 12 \pages 1823--1837 \mathnet{http://mi.mathnet.ru/zvmmf1407} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1830358} \zmath{https://zbmath.org/?q=an:0999.76083} \elib{https://elibrary.ru/item.asp?id=13341243} \transl \jour Comput. Math. Math. Phys. \yr 2000 \vol 40 \issue 12 \pages 1751--1764 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Belash V.O., Pal'tsev B.V., Chechel I.I., “On convergence rate of some iterative methods for bilinear and bicubic finite element schemes for the dissipative Helmholtz equation with large values of a singular parameter”, Russian J Numer Anal Math Modelling, 17:6 (2002), 485–520
2. V. O. Belash, B. V. Pal'tsev, “Bicubic finite-element implementations of methods with splitting of boundary conditions for a Stokes-type system in a strip under the periodicity condition”, Comput. Math. Math. Phys., 42:2 (2002), 188–210
3. B. V. Pal'tsev, I. I. Chechel', “Increasing the rate of convergence of bilinear finite-element realizations of iterative methods by splitting boundary conditions for Stokes-type systems for large values of a singular parameter”, Comput. Math. Math. Phys., 44:11 (2004), 1949–1967
4. Pal'tsev B.V., Chechel I.I., “Finite-element linear second-order accurate (up to the poles) approximations of Laplace–Beltrami, gradient, and divergence operators on a sphere in R-3 in the axisymmetric case”, Doklady Mathematics, 69:2 (2004), 200–207
5. B. V. Pal'tsev, I. I. Chechel', “Second-order accurate (up to the axis of symmetry) finite-element implementations of iterative methods with splitting of boundary conditions for Stokes and stokes-type systems in a spherical layer”, Comput. Math. Math. Phys., 45:5 (2005), 816–857
6. M. K. Kerimov, “Boris Vasil'evich Pal'tsev (on the occasion of his seventieth birthday)”, Comput. Math. Math. Phys., 50:7 (2010), 1113–1119
7. 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”, Comput. Math. Math. Phys., 51:1 (2011), 68–87
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