Optimal control of fluid flow in soil 1. Deterministic case.

Título inglés	Optimal control of fluid flow in soil 1. Deterministic case.
Título español	Control óptimo de la corriente de fluidos en suelo 1. Caso determinístico.
Autor/es	Kelanemer, Youcef
Organización	Dep. Comput. Sci. Univ. Fed. Arm. Forc. Munich, Neubiberg, Alemania
Revista	1139-1138
Publicación	1998, 11 (2): 373-401, 14 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We study the numerical aspect of the optimal control of problems governed by a linear elliptic partial differential equation (PDE). We consider here the gas flow in porous media. The observed variable is the flow field we want to maximize in a given part of the domain or its boundary. The control variable is the pressure at one part of the boundary or the discharges of some wells located in the interior of the domain. The objective functional is a balance between the norm of the flux in the observation region and the costs due to the control variables. We consider several geometric configurations of the control and the observation variables, and we make use of different objective functionals. We take advantage of the linearity of the flux w.r.t. the control variable to significantly reduce the computational effort and to deduce the optimal controls of wide class of objective functionals. In this paper we consider the deterministic case where the model parameters are given in the whole domain.
Clasificación UNESCO	120204 ; 120702
Palabras clave español	Control óptimo ; Ecuaciones diferenciales elípticas ; Corriente de fluidos ; Contaminación del suelo ; Medios porosos ; Problema de Dirichlet
Código MathReviews	MR1666501
Código Z-Math	Zbl 0937.49014
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