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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 3, Pages 313–324 (Mi sjvm25)  
This article is cited in 13 scientific papers (total in 13 papers)

A scheme of a finite element method for boundary value problems with non-coordinated degeneration of input data

V. A. Rukavishnikova, E. V. Kuznetsovab

a Computer Centre Far-Eastern Branch of RAS
b Far Eastern State Transport University
Full-text PDF (244 kB) Citations (13)
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Abstract: We construct a scheme of a finite element method for boundary value problems with non-coordinated degeneration of input data and singularity of solution. The rate of convergence of an approximate solution of the proposed finite element method to the exact $R_{\nu}$-generalized solution in the weight set $W^1_{2,\nu^*+\beta/2+1}(\Omega,\delta)$ is investigated, the estimation of finite element approximations is established.
Key words: non-coordinated degeneration of input data, $R_{\nu}$-generalized solution, singularity of a solution, finite element method.
Received: 14.11.2007
Revised: 21.07.2008
English version:
Numerical Analysis and Applications, 2009, Volume 2, Issue 3, Pages 250–259
DOI: https://doi.org/10.1134/S1995423909030069
Bibliographic databases:
UDC: 519.632
Language: Russian
Citation: V. A. Rukavishnikov, E. V. Kuznetsova, “A scheme of a finite element method for boundary value problems with non-coordinated degeneration of input data”, Sib. Zh. Vychisl. Mat., 12:3 (2009), 313–324; Num. Anal. Appl., 2:3 (2009), 250–259
Citation in format AMSBIB
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\by V.~A.~Rukavishnikov, E.~V.~Kuznetsova
\paper A~scheme of a~finite element method for boundary value problems with non-coordinated degeneration of input data
\jour Sib. Zh. Vychisl. Mat.
\yr 2009
\vol 12
\issue 3
\pages 313--324
\mathnet{http://mi.mathnet.ru/sjvm25}
\transl
\jour Num. Anal. Appl.
\yr 2009
\vol 2
\issue 3
\pages 250--259
\crossref{https://doi.org/10.1134/S1995423909030069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-71449085036}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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