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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 4, Pages 375–388 (Mi sjvm133)  
This article is cited in 6 scientific papers (total in 6 papers)

On using the Lagrange coefficients for a posteriori error estimation

A. K. Alekseeva, I. N. Makhnevb

a Moscow Institute of Physics and Technology, Rocket and Space Corporation "Energia", Korolev, Moscow region
b Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow region
Full-text PDF (261 kB) Citations (6)
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Abstract: A posteriori error estimation of the goal functional is considered using a differential presentation of a finite difference scheme and adjoint equations. The local approximation error is presented as a Tailor series remainder in the Lagrange form. The field of the Lagrange coefficients is determined by a high accuracy finite difference stencil affecting results of computation. The feasibility of using the Lagrange coefficients for the refining solution and estimation of its uncertainty are considered.
Key words: a posteriori error estimation, postprocessor, adjoint equations.
Received: 25.01.2008
Revised: 02.04.2009
English version:
Numerical Analysis and Applications, 2009, Volume 2, Issue 4, Pages 302–313
DOI: https://doi.org/10.1134/S1995423909040028
Bibliographic databases:
UDC: 533+519.6
Language: Russian
Citation: A. K. Alekseev, I. N. Makhnev, “On using the Lagrange coefficients for a posteriori error estimation”, Sib. Zh. Vychisl. Mat., 12:4 (2009), 375–388; Num. Anal. Appl., 2:4 (2009), 302–313
Citation in format AMSBIB
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\by A.~K.~Alekseev, I.~N.~Makhnev
\paper On using the Lagrange coefficients for a~posteriori error estimation
\jour Sib. Zh. Vychisl. Mat.
\yr 2009
\vol 12
\issue 4
\pages 375--388
\mathnet{http://mi.mathnet.ru/sjvm133}
\transl
\jour Num. Anal. Appl.
\yr 2009
\vol 2
\issue 4
\pages 302--313
\crossref{https://doi.org/10.1134/S1995423909040028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952872507}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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