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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 83, Issue 1, Pages 93–118
DOI: https://doi.org/10.1070/SM1995v083n01ABEH003582
(Mi sm927)
 

This article is cited in 26 scientific papers (total in 26 papers)

On rapidly convergent iterative methods with complete boundary-condition splitting for a multidimensional singularly perturbed system of Stokes type

B. V. Pal'tsev

Dorodnitsyn Computing Centre of the Russian Academy of Sciences
References:
Abstract: This paper is an investigation of a group of iterative methods with complete boundary-condition splitting for solving the first boundary value problem for a system of Stokes type with a small parameter $\varepsilon>0$:
\begin{gather*} -\varepsilon ^2\Delta{\mathbf u}+{\mathbf u}+\operatorname{grad}p={\mathbf f}, \qquad \operatorname{div}{\mathbf u}=0\quad \text {in </nomathmode><mathmode>$\Omega $},
{\mathbf u}|_\Gamma ={\mathbf g}, \qquad \int _\Gamma ({\mathbf g},{\mathbf n}) ds=0, \end{gather*}
</mathmode><nomathmode> where $\mathbf{u}=(u^1(x),\dots,u^n(x))$ is the velocity vector, $p = p(x)$ is the pressure, $\mathbf{f}=(f^1(x),\dots,f^n(x))$ is the field of external forces, and $\mathbf{g}=(g^1(x),\dots,g^n(x))$ is a given value of the velocity vector on the boundary $\Gamma$ of a domain $\Omega$ in the $n$-dimensional Euclidean space $\mathbb{R}^n$.
Received: 20.07.1993
Bibliographic databases:
UDC: 517.946+532.516.5
MSC: Primary 35A35, 35Q30, 35B25, 35A40; Secondary 65N12, 76D07, 76M25
Language: English
Original paper language: Russian
Citation: B. V. Pal'tsev, “On rapidly convergent iterative methods with complete boundary-condition splitting for a multidimensional singularly perturbed system of Stokes type”, Russian Acad. Sci. Sb. Math., 83:1 (1995), 93–118
Citation in format AMSBIB
\Bibitem{Pal94}
\by B.~V.~Pal'tsev
\paper On rapidly convergent iterative methods with complete boundary-condition splitting for a~multidimensional singularly perturbed system of Stokes type
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 83
\issue 1
\pages 93--118
\mathnet{http://mi.mathnet.ru//eng/sm927}
\crossref{https://doi.org/10.1070/SM1995v083n01ABEH003582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1305758}
\zmath{https://zbmath.org/?q=an:0849.76011}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ10000005}
Linking options:
  • https://www.mathnet.ru/eng/sm927
  • https://doi.org/10.1070/SM1995v083n01ABEH003582
  • https://www.mathnet.ru/eng/sm/v185/i9/p109
  • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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