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We propose a numerical method to approximate the exact averaged boundarycontrol of a family of wave equations depending on an unknown parameter sigma.More precisely the control, independent of sigma, that drives an initial datato a family of final states at time t = T, whose average in sigma is given. Theidea is to project the control problem in the finite dimensional spacegenerated by the first N eigenfunctions of the Laplace operator. The resultingdiscrete control problem has solution whenever the continuous one has it, andwe give a convergence result of the discrete controls to the continuous one.The method is illustrated with several examples in 1-d and 2-d in a squaredomain.

Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation