A new approximation method for PDE constraint optimal control problem solutions

چکیده مقاله

In this article, we present a method to solve the optimal control with elliptic partial differential equation constraint, based on the new method of spectral element. In this new method, we use Muntz polynomials as interpolation polynomials. Using this method, we get the discrete form of the problem, which is itself a large scale constrained optimization problem. We use the split Bregman method to solve this optimization problem. In the end, we will check the accuracy and efficiency of the method with some numerical examples.