On parametrical identification on given classes of functions for distributed systems

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Date/heure
Date(s) - 29/11/2011
11 h 00 min - 12 h 00 min

Catégories Pas de Catégories


The report investigates numerical solution of the problem of parametric identification of the processes described by parabolic equations by the example of underground oil filtration. The parameters being identified belong to the given classes of functions, for example, to piecewise linear and piecewise constant functions. The problem is not only to identify the coefficients’ values, but also to determine the boundaries of the coefficients’ constancy. For numerical solution of the problem we propose an approach based on reduction of the original problem to a finite optimization problem with special structure of constraints. Formulas for the gradient of objective functional of discrete problem are obtained thus providing a possibility of applying efficient first order optimization methods. Results of numerical experiments for model problems are shown.