Some Numerical Results on Function Space (Fsa) Algorithms

In this work, we consider the numerical implementation of Function Space Algorithm (FSA) for the solution of quadratic continuous cost functional. It is used to solve Reaction Diffusion Control problems. It considered specifically a parabolic problem characterized by dynamics constraints and the results obtained analyzed. The cumbersome nature of the line search techniques associated with FSA was addressed by time discretization approach. It is shown that the convergence rate of FSA improves as the penalty parameter grows.