Optimal boundary control of a linear parabolic evolution system
Wu, Y. H. ; Chuedoung, M. ; Siew, P. F.
ANZIAM Journal, Tome 44 (2003), / Harvested from Australian Mathematical Society
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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.

Publié le : 2003-01-01
DOI : https://doi.org/10.21914/anziamj.v44i0.710 
@article{710,
     title = {Optimal boundary control of a linear parabolic evolution system},
     journal = {ANZIAM Journal},
     volume = {44},
     year = {2003},
     doi = {10.21914/anziamj.v44i0.710},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/710}
}

Wu, Y. H.; Chuedoung, M.; Siew, P. F. Optimal boundary control of a linear parabolic evolution system. ANZIAM Journal, Tome 44 (2003) . doi : 10.21914/anziamj.v44i0.710. http://gdmltest.u-ga.fr/item/710/