Numerical Analysis of Inverse Problems for the Model of Transfer of Industrial Environmental Pollution in the Machine-Building

Author:

Soboleva O.V.1,Mashkov Denis V.2

Affiliation:

1. Far Eastern Federal University

2. Far Eastern State Technical Fisheries University

Abstract

The model of transfer of polluting substance is considered. inverse extremum problem of identification of the coefficients in an elliptic diffusion-reaction equation is formulated. The solvability of this problem is proved, the application of Lagrange principle is justified and the optimality system is constructed for specific cost functional. The numerical algorithm based on Newton-method of nonlinear optimization of linear elliptic problems is developed and programmed on computer. The results of numerical experiments are discussed

Publisher

Trans Tech Publications, Ltd.

Reference19 articles.

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2. A.A. Samarskii and P.N. Vabishevich, Numerical Methods for Inverse Problems in Mathematical Physics, Editorial URSS, Moscow, (2004).

3. G.V. Alekseev and D.A. Tereshko, Analysis and optimization in viscous fluid hydrodynamics, Dal'nauka, (2008).

4. M. D. Gunzburger, L. Hou, and T. P. Svobodny, The Approximation of Boundary Control Problems for Fluid Flows with an Application to Control by Heating and Cooling, Comput. Fluids 22 (1993) 239–251.

5. K. Ito and S. S. Ravindran, Optimal Control of Thermally Convected Fluid Flows, SIAM J. Sci. Comput. 19 (1998) 1847–1869.

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