[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2004.41.4.681

FINITE ELEMENT APPROXIMATION AND COMPUTATIONS OF OPTIMAL DIRICHLET BOUNDARY CONTROL PROBLEMS FOR THE BOUSSINESQ EQUATIONS

Lee, Hyung-Chun (Department of Mathematics Ajou University)
Kim, Soo-Hyun (Department of Mathematics Ajou University)

Publication Information

Journal of the Korean Mathematical Society / v.41, no.4, 2004 , pp. 681-715 More about this Journal

Abstract

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;

Citations & Related Records

Times Cited By Web Of Science : 3 (Related Records In Web of Science)
Times Cited By SCOPUS : 3

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1	/ Numerical Functional Analysis and Optimization
2	/ SIAM Journal on Control and Optimization
3	/ Mathematical Methods in the Applied Sciences