Abstract
A singularly perturbed time-dependent convection-diffusion problem is examined on non-rectangular domains. The nature of the boundary and interior layers that arise depends on the geometry of the domains. For problems with different types of layers, various numerical methods are constructed to resolve the layers in the solutions and the numerical solutions are shown to converge independently of the singular perturbation parameter.
This research was supported in part by the National Centre for Plasma Science and Technology Ireland, by the Enterprise Ireland grant SC-98-612 and by the Russian Foundation for Basic Research under grant No. 98-01-00362.
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References
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© 2001 Springer-Verlag Berlin Heidelberg
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Dunne, R.K., O’Riordan, E., Shishkin, G.I. (2001). Singularly Perturbed Parabolic Problems on Non-rectangular Domains. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_32
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DOI: https://doi.org/10.1007/3-540-45262-1_32
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