Abstract
The aim of this paper, dealing with the management of fresh water, is to present an optimal control approach for the steady flow in a rectangular aquifer there are two wells. The classical problem is a free boundary problem. After a change of variable transformation, we obtain an optimal control problem in a fixed domain, where the control appears in a Dirichlet boundary condition and in the coefficients of the state equation. After a finite element discretization, we obtain an optimization problem where the cost function is differentiable and the gradient could be computed analytically.
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© 2000 Springer Science+Business Media Dordrecht
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Murea, C.M., Crolet, JM. (2000). Optimal Control Approach for a Flow in Unsaturated Porous Media. In: Crolet, J.M. (eds) Computational Methods for Flow and Transport in Porous Media. Theory and Applications of Transport in Porous Media, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1114-2_7
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DOI: https://doi.org/10.1007/978-94-017-1114-2_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5440-1
Online ISBN: 978-94-017-1114-2
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