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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 8, Pages 1424–1434 (Mi zvmmf612)  
This article is cited in 7 scientific papers (total in 7 papers)

Error bounds for controllable adaptive algorithms based on a Hessian recovery

Yu. V. Vassilevskia, K. N. Lipnikovb

a Institute of Numerical Mathematics, Russian Academy of Sciences
b Los Alamos National Laboratory, MS B284, Los Alamos, NM, 87545, USA
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Abstract: One of the main goals of adaptive algorithms for unstructured mesh generation is to obtain a better discretization error with the use of the least possible number of mesh cells. For many problems, the discretization error can be bounded above by the interpolation error. The main goal of this paper is to analyze the interpolation error for controllable adaptive algorithms based on a Hessian recovery.
Key words: algorithms for adaptive mesh generation, interpolation-error estimates, control of adaptation.
Received: 05.11.2004
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: Yu. V. Vassilevski, K. N. Lipnikov, “Error bounds for controllable adaptive algorithms based on a Hessian recovery”, Zh. Vychisl. Mat. Mat. Fiz., 45:8 (2005), 1424–1434; Comput. Math. Math. Phys., 45:8 (2005), 1374–1384
Citation in format AMSBIB
\Bibitem{VasLip05}
\by Yu.~V.~Vassilevski, K.~N.~Lipnikov
\paper Error bounds for controllable adaptive algorithms based on a Hessian recovery
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 8
\pages 1424--1434
\mathnet{http://mi.mathnet.ru/zvmmf612}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2191854}
\zmath{https://zbmath.org/?q=an:1087.65113}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 8
\pages 1374--1384
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    • This publication is cited in the following 7 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 :142
    References:64
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