Abstract

M. Chuedoung, Y.H. Wu, and P.F. Siew

In this paper, we are concerned with the optimal boundary control of a linear parabolic boundary value problem. Firstly, the problem is formulated as an optimization problem with the system state governed by a parabolic partial differential equation. The solution of the problem is characterized by a set of simultaneous differential and algebraic equations. A gradient-type optimization technique utilizing the finite element method is then developed to solve the equations. Finally, a numerical example is given and the results show that the method of solution is robust.

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