Optimal Control of PDE

[Carlo Sinigaglia]

Hi all,

I did not seem to find any control application within the problem gallery and the group.

I tried to implement a linear-quadratic parabolic optimal control problem for the advection-diffusion equation in 1-1 dimensions.

In optimal control literature this would be an optimize then discretize approach since I solve the state, adjoint and euler pde. It works reasonably well but I would like the gradient norm to be smaller.

Does this implementation make sense?

I post also the code that might be of use for people in control.

Best,

Carlo