Results: The Infinite Dimensional Context

In the formulation of the optimality conditions for the discrete problem we have seen the proper choice of scalar products plays an important role.
In the computations we use the weighted scalar product and, consequently the
The weighted scalar product not only influences the gradient computation, but is also used in conjugate gradient methods and for BFGS update used by TRICE_U. TRICE_U required 7 iterations to reach the desired convergence criteria. First we show the computed control.
The next graph shows the contours of the stream function representing the corresponding state. The stream function reveals the flow separation at y = 0.4 .

We also compare the computed controls for two levels of discretizations. The results are shown below.