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Matematicheskoe modelirovanie, 1996, Volume 8, Number 9, Pages 63–73 (Mi mm1620)  

This article is cited in 5 scientific papers (total in 5 papers)

Proceedins of the International Conference on the Optimization of the Finite Element Approximations (OFEA-95), St.-Petersburg, 25–29 June 1995

Preconditioning in the domain decomposition methods for the $p$-version with the hierarchical bases

V. G. Korneev, S. A. Ivanov

Russian Center of Laser Physics, Research Institute of St. Petersburg State University
Abstract: A DD (domain decomposition) method is considered for the $p$- and $h$-$p$-versions with the curvilinear elements for the elliptic second order partial differential equation. Coordinate functions of the reference element are defined by the products of the Legendre's polynomials. Efficient DD preconditioner is suggested on the basis of preconditioners for the problems on subdomains and for the Shur complement.
Bibliographic databases:
Language: English
Citation: V. G. Korneev, S. A. Ivanov, “Preconditioning in the domain decomposition methods for the $p$-version with the hierarchical bases”, Matem. Mod., 8:9 (1996), 63–73
Citation in format AMSBIB
\Bibitem{KorIva96}
\by V.~G.~Korneev, S.~A.~Ivanov
\paper Preconditioning in the domain decomposition methods for the $p$-version with the hierarchical bases
\jour Matem. Mod.
\yr 1996
\vol 8
\issue 9
\pages 63--73
\mathnet{http://mi.mathnet.ru/mm1620}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1444873}
\zmath{https://zbmath.org/?q=an:0981.65512}
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  • https://www.mathnet.ru/eng/mm/v8/i9/p63
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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