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math.OC2013
An Efficient Policy Iteration Algorithm for Dynamic Programming Equations
Alessandro Alla, Maurizio Falcone, Dante Kalise
We present an accelerated algorithm for the solution of static Hamilton-Jacobi-Bellman equations related to optimal control problems. Our scheme is based on a classic policy iterat…
math.OC2013
An adaptive POD approximation method for the control of advection-diffusion equations
Alessandro Alla, Maurizio Falcone
We present an algorithm for the approximation of a finite horizon optimal control problem for advection-diffusion equations. The method is based on the coupling between an adaptive…