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 Zh. Vychisl. Mat. Mat. Fiz., 2000, Volume 40, Number 9, Pages 1339–1363 (Mi zvmmf1446)

On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system

A. S. Lozinskii

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

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English version:
Computational Mathematics and Mathematical Physics, 2000, 40:9, 1284–1307

Bibliographic databases:
UDC: 519.634
MSC: Primary 35Q30; Secondary 76M10, 76D07, 65N30

Citation: A. S. Lozinskii, “On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system”, Zh. Vychisl. Mat. Mat. Fiz., 40:9 (2000), 1339–1363; Comput. Math. Math. Phys., 40:9 (2000), 1284–1307

Citation in format AMSBIB
\Bibitem{Loz00} \by A.~S.~Lozinskii \paper On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2000 \vol 40 \issue 9 \pages 1339--1363 \mathnet{http://mi.mathnet.ru/zvmmf1446} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1832272} \zmath{https://zbmath.org/?q=an:0997.35041} \elib{https://elibrary.ru/item.asp?id=13336061} \transl \jour Comput. Math. Math. Phys. \yr 2000 \vol 40 \issue 9 \pages 1284--1307 

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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. 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”, Comput. Math. Math. Phys., 40:12 (2000), 1751–1764
2. A. S. Lozinskii, “Finite-element realization of iterative processes with splitting of boundary conditions for a Stokes-type system in nonconcentric annuli”, Comput. Math. Math. Phys., 41:8 (2001), 1145–1157
3. 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
4. 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
5. 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
6. 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
7. B. V. Pal'tsev, I. I. Chechel', “On the convergence rate and optimization of a numerical method with splitting of boundary conditions for the stokes system in a spherical layer in the axisymmetric case: Modification for thick layers”, Comput. Math. Math. Phys., 46:5 (2006), 820–847
8. M. B. Soloviev, “On numerical implementations of a new iterative method with boundary condition splitting for solving the nonstationary stokes problem in a strip with periodicity condition”, Comput. Math. Math. Phys., 50:10 (2010), 1682–1701
9. M. B. Soloviev, “Numerical implementations of an iterative method with boundary condition splitting as applied to the nonstationary stokes problem in the gap between coaxial cylinders”, Comput. Math. Math. Phys., 50:11 (2010), 1895–1913
10. Solov'ev M.B., “On Numerical Implementations of a New Iterative Method with Boundary Condition Splitting for the Nonstationary Stokes Problem”, Doklady Mathematics, 81:3 (2010), 471–475
11. 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
12. M. B. Solov'ev, “Numerical implementation of an iterative method with boundary condition splitting for solving the nonstationary stokes problem on the basis of an asymptotically stable two-stage difference scheme”, Comput. Math. Math. Phys., 54:12 (2014), 1817–1825
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