Far Eastern Mathematical Journal

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Numerical analysis of the inverse identification problem for the lower coefficient of an elliptic equation

E. A. Kalinina

2005, issue 1-2, P.

In this paper the inverse problem of identification of a coefficient in the two-dimensional stationary equation of diffusion – reaction is considered. For the solution of this problem the numerical algorithm is developed which is based on the two-layer gradient algorithm. Theoretical aspects and the convergence of the algorithm are discussed. The results of numerical experiments are analyzed in details.

elliptic equation, inverse extremal problem, coefficient identification, gradient algorithm, pollutant transfer

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