Optimal boundary control of a linear parabolic evolution system

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


We consider 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. Based on the formulation for the variation of the cost functional, a gradient-type optimization technique utilizing the finite element method is then developed to solve the constrained optimization problem. Finally, a numerical example is given and the results show that the method of solution is robust.

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DOI: https://doi.org/10.21914/anziamj.v44i0.710

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.