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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 4, Pages 425–442 (Mi sjvm452)  
This article is cited in 15 scientific papers (total in 15 papers)

Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations

H. Chena, Q. Linb, V. V. Shaidurovcd, J. Zhoue

a School of Mathematical Sciences, Xiamen University, Xiamen, China
b LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China
c Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk
d School of Mathematics and Systems Science, Beihang University, Beijing, China
e School of Sciences, Hebei University of Technology, Tianjin, China
Full-text PDF (305 kB) Citations (15)
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Abstract: In this paper, a modified method of characteristics in combination with integral identities of triangular and tetrahedral linear elements is used to prove a uniform optimal-order error estimate which depends only on the initial data and right-hand side, but not on a scaling parameter $\varepsilon$, for multi-dimensional time-dependent advection-diffusion equations.
Key words: modified method of characteristics, triangular linear element, tetrahedral linear element, integral identities, uniform error estimate.
Received: 21.10.2010
Revised: 03.03.2011
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 4, Pages 345–362
DOI: https://doi.org/10.1134/S1995423911040070
Bibliographic databases:
Document Type: Article
UDC: 556.013
Language: Russian
Citation: H. Chen, Q. Lin, V. V. Shaidurov, J. Zhou, “Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 425–442; Num. Anal. Appl., 4:4 (2011), 345–362
Citation in format AMSBIB
\Bibitem{CheLinSha11}
\by H.~Chen, Q.~Lin, V.~V.~Shaidurov, J.~Zhou
\paper Error estimates for triangular and tetrahedral finite elements in combination with a~trajectory approximation of the first derivatives for advection-diffusion equations
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 4
\pages 425--442
\mathnet{http://mi.mathnet.ru/sjvm452}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 4
\pages 345--362
\crossref{https://doi.org/10.1134/S1995423911040070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84155189740}
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    • This publication is cited in the following 15 articles:
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