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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 1, Pages 47–59
DOI: https://doi.org/10.15372/SJNM20160104 (Mi sjvm601) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Convergence of the adapting grid method of Bakhvalov's type for singularly perturbed boundary value problems

I. A. Blatov, E. V. Kitaeva

Povolzhskiy State University of Telecommunications and Informatics, 23 Lev Tolstoi str., Samara, 443010, Russia
Full-text PDF (435 kB) Citations (5)
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DOI: https://doi.org/10.15372/SJNM20160104
Abstract: We consider the Galerkin finite element method for non-self-adjoint boundary value problems on Bakhvalov's grids. Using the Galerkin projections method the convergence of a sequence of computational grids with an unknown boundary of the boundary layer has been proved. Numerical examples are presented.
Key words: singularly perturbed boundary value problem, Galerkin projection, Bakhvalov's grid, adaptation algorithms.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06584
Received: 24.02.2015
Revised: 18.05.2015
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 1, Pages 34–44
DOI: https://doi.org/10.1134/S1995423916010043
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: I. A. Blatov, E. V. Kitaeva, “Convergence of the adapting grid method of Bakhvalov's type for singularly perturbed boundary value problems”, Sib. Zh. Vychisl. Mat., 19:1 (2016), 47–59; Num. Anal. Appl., 9:1 (2016), 34–44
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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