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J. Korean Math. Soc. 1999; 36(1): 173-192
Printed January 1, 1999
Copyright © The Korean Mathematical Society.
Finite element approximation and computations of boundary optimal control problems for the Navier - Stokes flows through a channel with steps
Hyung-Chun Lee and Yong Hun Lee
We study a boundary optimal control problem of the fluid flow governed by the Navier-Stokes equations. The control problem is formulated with the flow through a channel with steps. The first-order optimality condition of the optimal control is derived. Finite element approximations of the solutions of the optimality system are defined and optimal error estimates are derived. Finally, we present some numerical results.
Keywords: fluid control, Navier-Stokes equation, boundary control, finite element method
MSC numbers: 49A22, 49B22, 65N30
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