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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 7, Pages 1213–1225 (Mi zvmmf626)  

This article is cited in 8 scientific papers (total in 8 papers)

A posteriori error estimation of a finite difference solution based on adjoint equations and differential representations

A. K. Alekseev

S. P. Korolev Rocket and Space Corporation "Energia"
References:
Abstract: Numerical results obtained for the parabolized Navier–Stokes equations are used to show that the error in computed flow parameters caused by the truncation error of the underlying finite difference scheme can be evaluated using adjoint equations. If the local truncation error is determined in terms of the Lagrange remainder of a Taylor series, the numerical results can be improved and the remaining error can be estimated from above.
Key words: a posteriori error estimation, finite difference scheme, differential representation, adjoint equations.
Received: 27.04.2004
Revised: 24.07.2004
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. K. Alekseev, “A posteriori error estimation of a finite difference solution based on adjoint equations and differential representations”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1213–1225; Comput. Math. Math. Phys., 45:7 (2005), 1172–1184
Citation in format AMSBIB
\Bibitem{Ale05}
\by A.~K.~Alekseev
\paper A posteriori error estimation of a finite difference solution based on adjoint equations and differential representations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 7
\pages 1213--1225
\mathnet{http://mi.mathnet.ru/zvmmf626}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2188413}
\zmath{https://zbmath.org/?q=an:1164.35453}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 7
\pages 1172--1184
Linking options:
  • https://www.mathnet.ru/eng/zvmmf626
  • https://www.mathnet.ru/eng/zvmmf/v45/i7/p1213
  • This publication is cited in the following 8 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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    Full-text PDF :438
    References:54
    First page:1
     
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