Numerical approximation of the optimal inputs for an identification problem

Abstract

An optimal control problem for a parabolic equation closely related to an identification problem is considered. This is an application of an abstract existence result of Barbu and Seidman [1]. An approximation scheme based on a discretization using finite differences and an algorithm are presented. Numerical results and conclusions drawn from the computational studies are reported.

Keywords:

• Optimal input
• parameter identification
• finite differences
• sensitivity

C.R. Categories::

• G.1.8