Numerical Solution of a Singularly Perturbed Problem on a Circular Domain
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.
About the Authors
A. F. Hegarty
University of Limerick, Ireland
Russian Federation
Russian Federation
Department of Mathematics and Statistics
E. O’Riordan
Dublin City University, Ireland
Russian Federation
Russian Federation
School of Mathematical Sciences
References
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Review
For citations:
Hegarty A.F., O’Riordan E. Numerical Solution of a Singularly Perturbed Problem on a Circular Domain. Modeling and Analysis of Information Systems. 2016;23(3):349-356. https://doi.org/10.18255/1818-1015-2016-3-349-356
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