Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem
by
Natalia Kopteva
Department of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Vorb'evy gory, Moscow, Russia

A singularly perturbed quasilinear two-point boundary value problem with an exponential boundary layer is discretized on arbitrary nonuniform meshes. We are concerned with a posteriori error estimates. There is a vast literature on the subject; and it is common to get a posteriori error estimates with respect to Sobolev space norms, while the maximum norm seems more relevant to the problem under consideration. We give first- and second-order maximum norm a posteriori error estimates that are uniform in a small 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-85.