title: A parareal in time procedure for the control of partial differential equations
abstract: We have proposed in a previous note a time discretization for partial differential evolution equation that allows for parallel implementations. This scheme is here reinterpreted as a preconditioning procedure on an algebraic setting of the time discretization. This allows for extending the parallel methodology to the problem of optimal control for partial differential equations. We report a first numerical implementation that reveals a large interest
keyphrases: time procedure time discretization evolution equation preconditioning procedure algebraic setting optimal control partial differential equation control Hilbert space