A Hybrid Method of Characteristics and Central Difference Method for Convection-Diffusion Problems
by
Owe Axelsson
University of Nijmegen, The Netherlands
Coauthors: R. Marinova (Free University, Varna)

A combined finite difference method and local method of characteristic line is presented for the numerical solution of singularly perturbed convection-diffusion problems. The method has discretization error estimates in maximum norm of second order. An analysis of the discretization errors, based on certain barrier function bounds and a discrete comparison principle, shows uniform in \epsilon convergence of the discretization error on layer adapted meshes. The advantages of this technique compared with some commonly used methods are illustrated by numerical experiments with outflow boundary layers.

Date received: March 13, 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 # caen-49.