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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 12, Pages 1797–1803 (Mi zvmmf3162)  

This article is cited in 1 scientific paper (total in 1 paper)

The multigrid method applied to a finite-element scheme for a two-dimensional Stokes-type system

B. V. Pal'tsev, I. I. Chechel'

Moscow
Full-text PDF (795 kB) Citations (1)
References:
Abstract: A two-dimensional system of the Stokes type, in which the coefficient of the highest order derivatives is a small parameter $\varepsilon>0$, is considered, and a version of the multigrid method is developed to handle a finite-element scheme for the system, obtained by using biquadratic elements for the velocities, linear elements for the pressure and an approximatively-solenoidal basis. Approximatively-solenoidal interpolations are defined and used to design the coarse-grid bases. Numerical experiments demonstrate a high rate of convergence even for very small $\varepsilon$ values.
Received: 24.04.1990
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 6, Pages 141–146
DOI: https://doi.org/10.1016/0041-5553(90)90122-9
Bibliographic databases:
Document Type: Article
UDC: 519.6:532.5
MSC: Primary 76M10; Secondary 76D07, 65N55
Language: Russian
Citation: B. V. Pal'tsev, I. I. Chechel', “The multigrid method applied to a finite-element scheme for a two-dimensional Stokes-type system”, Zh. Vychisl. Mat. Mat. Fiz., 30:12 (1990), 1797–1803; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 141–146
Citation in format AMSBIB
\Bibitem{PalChe90}
\by B.~V.~Pal'tsev, I.~I.~Chechel'
\paper The multigrid method applied to a~finite-element scheme for a~two-dimensional Stokes-type system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 12
\pages 1797--1803
\mathnet{http://mi.mathnet.ru/zvmmf3162}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1099145}
\zmath{https://zbmath.org/?q=an:0794.76048}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 6
\pages 141--146
\crossref{https://doi.org/10.1016/0041-5553(90)90122-9}
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  • https://www.mathnet.ru/eng/zvmmf/v30/i12/p1797
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:175
    Full-text PDF :80
    References:38
    First page:1
     
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