Distributed Control Problems for the Burgers Equation
Computational Optimization and Applications
Solving nonlinear programming problems with noisy function values and noisy gradients
Journal of Optimization Theory and Applications
Optimal control of Navier-Stokes equations by Oseen approximation
Computers & Mathematics with Applications
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This paper studies optimal control problems of the fluid flow governed by the Navier--Stokes equations. Two control problems are formulated in the case of the driven cavity and flow through a channel with sudden expansion and solved successfully using a numerical optimization algorithm based on the augmented Lagrangian method. Existence and the first-order optimality condition of the optimal control are established. A convergence result on the augmented Lagrangian method for nonsmooth cost functional is obtained.