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Modelirovanie i Analiz Informatsionnykh Sistem, 2016, Volume 23, Number 3, Pages 349–356
DOI: https://doi.org/10.18255/1818-1015-2016-3-349-356 (Mi mais505) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Numerical solution of a singularly perturbed problem on a circular domain

A. F. Hegartya, E. O' Riordanb

a Department of Mathematics and Statistics, University of Limerick, Ireland
b School of Mathematical Sciences, Dublin City University, Ireland
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DOI: https://doi.org/10.18255/1818-1015-2016-3-349-356
Abstract: We consider a singularly perturbed elliptic problem, of convection-diffusion type, posed on a circular domain. Using polar coordinates, simple upwinding and a piecewise-uniform Shishkin mesh in the radial direction, we construct a numerical method that is monotone, pointwise accurate and parameter-uniform under certain compatibility constraints. Numerical results are presented to illustrate the performance of the numerical method when these constraints are not imposed on the data.
Keywords: circular domain, convection-diffusion, parameter-uniform, Shishkin mesh.
Funding agency Grant number
Science Foundation Ireland Investigator Award 12/IA/1683
The work of the first author was supported by MACSI, the Mathematics Applications Consortium for Science and Industry (http://www.macsi.ul.ie), funded by the Science Foundation Ireland Investigator Award 12/IA/1683.
Received: 19.06.2016
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: English
Citation: A. F. Hegarty, E. O' Riordan, “Numerical solution of a singularly perturbed problem on a circular domain”, Model. Anal. Inform. Sist., 23:3 (2016), 349–356
Citation in format AMSBIB
\Bibitem{HegO r16}
\by A.~F.~Hegarty, E.~O' Riordan
\paper Numerical solution of a singularly perturbed problem on a circular domain
\jour Model. Anal. Inform. Sist.
\yr 2016
\vol 23
\issue 3
\pages 349--356
\mathnet{http://mi.mathnet.ru/mais505}
\crossref{https://doi.org/10.18255/1818-1015-2016-3-349-356}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3520857}
\elib{https://elibrary.ru/item.asp?id=26246301}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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