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Singularly perturbed parabolic problems on non-rectangular domains
by
R. Dunne
Dublin City University
Coauthors: E. O'Riordan (Dublin City University), G. I. Shishkin (Institute for Mathematics and Mechanics, Ekaterinburg)
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.
Date received: February 1, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeb-78.