Some Numerical Techniques for Optimal Control Governed by Partial Differential Equation

Abstract

Let X be a closed convex subset of a Banach space V on ℝ. Given a functional F: X → R. We seek to approximate u ∈ X where u isa solution of the inequality

$$F\left( u \right) \le F\left( v \right)\quad \forall v \in X$$

((1))

.