Solution of the 3-D stationary euler equation by optimal control methods

An hyperbolic nonlinear PDE arising in turbulence is solved by the techniques of optimal control theory because of its non standard boundary conditions. Because there are 4 unknown functions of 3 variables, this method of solution yieldsextremely large optimal control problems. Conjugate Gradient Algorithms and Finite Element Discretization where employed with satisfactory results. However, a Quasi-Newton method failed to improve computer time.