Algorithms and convergence results for an inverse problem in heat propagation

The aim of this paper is to study from the theoretical and numerical points of view an optimal control problem in heat propagation theory. An iteratio n algorithm is defined and its convergence is proved. For the discretizatio n of this problem an internal approximation in the space variables and a ba ckward Euler scheme in the time variable are used. Stability and convergenc e results are also established. Some numerical examples are given to illust rate the accuracy of the proposed algorithms in the cases of traction and t orsion tests. (C) 2000 Elsevier Science Ltd. All rights reserved.