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J. Korean Math. Soc. 2004; 41(4): 681-715
Printed July 1, 2004
Copyright © The Korean Mathematical Society.
Finite element approximation and computations of optimal Dirichlet boundary control problems for the Boussinesq Equations
Hyung-Chun Lee and Soohyun Kim
Ajou University, Ajou University
Mathematical formulation and numerical solutions of an optimal Dirichlet boundary control problem for the Boussinesq equations are considered. The solution of the optimal control problem is obtained by adjusting of the temperature on the boundary. We analyze finite element approximations. A gradient method for the solution of the discrete optimal control problem is presented and analyzed. Finally, the results of some computational experiments are presented.
Keywords: optimal control problem, Boussinesq equations
MSC numbers: Primary 35B40, 35B37, 35Q30, 65M60
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