Error control of Frémond models of shape memory alloys
by
Ulisse Stefanelli
Universita' di Pavia, Dipartimento di Matematica "F. Casorati"

Existence results for the Frémond model of shape memory alloys have been often investigated by using a time discretization approach. Here I present some a posteriori error estimates for such approximations with respect to the full monodimensional model and some three-dimensional models. These estimates show optimal rates of convergence, depend solely on computable quantities such as discrete solutions and data, and impose no costraints between consecutive time steps.

Date received: February 22, 1999

Copyright © 1999 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 # caco-11.