Geodesic
Numerical solution of a singularly perturbed problem on a circular domain
Modelirovanie i analiz informacionnyh sistem, Tome 23 (2016) no. 3, pp. 349-356

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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: parameter-uniform, Shishkin mesh.
Mots-clés : circular domain, convection-diffusion 
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     title = {Numerical solution of a singularly perturbed problem on a circular domain},
     journal = {Modelirovanie i analiz informacionnyh sistem},
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     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2016_23_3_a11/}
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A. F. Hegarty; E. O' Riordan. Numerical solution of a singularly perturbed problem on a circular domain. Modelirovanie i analiz informacionnyh sistem, Tome 23 (2016) no. 3, pp. 349-356. http://geodesic.mathdoc.fr/item/MAIS_2016_23_3_a11/